<?xml version="1.0" encoding="UTF-8"?><article xml:lang="en" article-type="research-article"><front><journal-meta><journal-id journal-id-type="pmc-domain-id">2909</journal-id><journal-id journal-id-type="pmc-domain">plants</journal-id><journal-title-group><journal-title>Plants</journal-title><abbrev-journal-title>Plants (Basel)</abbrev-journal-title></journal-title-group><publisher><publisher-name>Multidisciplinary Digital Publishing Institute (MDPI)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmcid">PMC12349594</article-id><article-id pub-id-type="pmcaid">12349594</article-id><article-id pub-id-type="pmcaiid">12349594</article-id><article-id pub-id-type="pmid">40805686</article-id><article-id pub-id-type="doi">10.3390/plants14152337</article-id><title-group><article-title>Plant Electrophysiological Parameters Represent Leaf Intracellular Water–Nutrient Metabolism and Immunoregulations in <italic>Brassica rapa</italic> During <italic>Plasmodiophora</italic> Infection</article-title></title-group><contrib-group content-type="author"><contrib><name name-style="western"><surname>Xia</surname><given-names initials="A">Antong</given-names></name><role>Writing – review &amp; editing, Funding acquisition, Methodology, Software, Formal analysis, Investigation, Data curation, Writing – original draft</role><xref ref-type="aff" rid="af1-plants-14-02337">1</xref><xref ref-type="aff" rid="af2-plants-14-02337">2</xref></contrib><contrib><name name-style="western"><surname>Wu</surname><given-names initials="Y">Yanyou</given-names></name><role>Writing – review &amp; editing, Supervision, Investigation</role><xref ref-type="aff" rid="af2-plants-14-02337">2</xref><xref rid="c1-plants-14-02337" ref-type="author-notes">*</xref></contrib><contrib><name name-style="western"><surname>Zhai</surname><given-names initials="K">Kun</given-names></name><role>Supervision, Writing – review &amp; editing, Investigation</role><xref ref-type="aff" rid="af1-plants-14-02337">1</xref><xref rid="c1-plants-14-02337" ref-type="author-notes">*</xref></contrib><contrib><name name-style="western"><surname>Xiang</surname><given-names initials="D">Dongshan</given-names></name><role>Writing – review &amp; editing, Supervision</role><xref ref-type="aff" rid="af1-plants-14-02337">1</xref></contrib><contrib><name name-style="western"><surname>Li</surname><given-names initials="L">Lin</given-names></name><role>Methodology, Software, Data curation</role><xref ref-type="aff" rid="af3-plants-14-02337">3</xref></contrib><contrib><name name-style="western"><surname>Qin</surname><given-names initials="Z">Zhanghui</given-names></name><role>Data curation, Formal analysis</role><xref ref-type="aff" rid="af3-plants-14-02337">3</xref></contrib><contrib><name name-style="western"><surname>Twagirayezu</surname><given-names initials="G">Gratien</given-names></name><role>Writing – review &amp; editing</role><xref ref-type="aff" rid="af2-plants-14-02337">2</xref></contrib></contrib-group><contrib-group content-type="editor"><contrib><name name-style="western"><surname>Zwiazek</surname><given-names initials="JJ">Janusz J</given-names></name><role>Academic Editor</role></contrib></contrib-group><aff id="af1-plants-14-02337"><label>1</label>Hubei Key Laboratory of Selenium Resource Research and Biological Application, Hubei Minzu University, Enshi 445000, China; tone1214910327@163.com (A.X.); </aff><aff id="af2-plants-14-02337"><label>2</label>State Key Laboratory of Environmental Geochemistry, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550081, China</aff><aff id="af3-plants-14-02337"><label>3</label>Academy of Agricultural Sciences, Enshi Tujia and Miao Autonomous Prefecture, Enshi 445000, China</aff><author-notes><fn id="c1-plants-14-02337"><label>*</label><p>Correspondence: <email>wuyanyou@mail.gyig.ac.cn</email> (Y.W.); <email>zk3100@sina.com</email> (K.Z.)</p></fn></author-notes><pub-date><day>29</day><month>7</month><year>2025</year></pub-date><volume>14</volume><issue>15</issue><fpage>2337</fpage><page-range>2337</page-range><pub-history><event event-type="pmc-release"><date><day>14</day><month>8</month><year>2025</year></date></event></pub-history><permissions><copyright-statement>© 2025 by the authors.</copyright-statement><license><license-p>Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://creativecommons.org/licenses/by/4.0/" ext-link-type="uri">https://creativecommons.org/licenses/by/4.0/</ext-link>).</license-p></license></permissions><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="plants-14-02337.pdf" content-type="pmc-pdf"><?cloudpmc-path 39f5/12349594/b326a8d5cd80/plants-14-02337.pdf?><?cloudpmc-bucket app?><?size 3198220?></self-uri><abstract id="abstract1"><title>Abstract</title><p>Although <italic>Brassica rapa</italic> (<italic>B. rapa</italic>) is vital in agricultural production and vulnerable to the pathogen <italic>Plasmodiophora</italic>, the intracellular water–nutrient metabolism and immunoregulation of <italic>Plasmodiophora</italic> infection in <italic>B. rapa</italic> leaves remain unclear. This study aimed to analyze the responsive mechanisms of <italic>Plasmodiophora</italic>-infected <italic>B. rapa</italic> using rapid detection technology. Six soil groups planted with Yangtze No. 5 <italic>B. rapa</italic> were inoculated with varying <italic>Plasmodiophora</italic> concentrations (from 0 to 10 × 10<sup>9</sup> spores/mL). The results showed that at the highest infection concentration (PWB5, 10 × 10<sup>9</sup> spores/mL) of <italic>B. rapa</italic> leaves, the plant electrophysiological parameters showed the intracellular water-holding capacity (IWHC), the intracellular water use efficiency (IWUE), and the intracellular water translocation rate (IWTR) declined by 41.99–68.86%. The unit for translocation of nutrients (UNF) increased by 52.83%, whereas the nutrient translocation rate (NTR), the nutrient translocation capacity (NTC), the nutrient active translocation (NAT) value, and the nutrient active translocation capacity (NAC) decreased by 52.40–77.68%. The cellular energy metabolism decreased with worsening <italic>Plasmodiophora</italic> infection, in which the units for cellular energy metabolism (∆G<sub>E</sub>) and cellular energy metabolism (∆G) of the leaves decreased by 44.21% and 78.14% in PWB5, respectively. Typically, based on distribution of B-type dielectric substance transfer percentage (BPn), we found PWB4 (8 × 10<sup>9</sup> spores/mL) was the maximal immune response concentration, as evidenced by a maximal BPn<sub>R</sub> (B-type dielectric substance transfer percentage based on resistance), with increasing lignin and cork deposition to enhance immunity, and a minimum BPn<sub>Xc</sub> (B-type dielectric substance transfer percentage based on capacitive reactance), with a decreasing quantity of surface proteins in the <italic>B. rapa</italic> leaves. This study suggests plant electrophysiological parameters could characterize intracellular water–nutrient metabolism and immunoregulation of <italic>B. rapa</italic> leaves under various <italic>Plasmodiophora</italic> infection concentrations, offering a dynamic detection method for agricultural disease management.</p><sec id="kwd-group1" sec-type="kwd-group" disp-level="2"><p><bold>Keywords:</bold> electrophysiological parameters, <italic>Plasmodiophora</italic>, intracellular water–nutrient metabolism, immunoregulation, dielectric substance transfer</p></sec></abstract><custom-meta-group><custom-meta><meta-name>status</meta-name><meta-value>released</meta-value></custom-meta><custom-meta><meta-name>display-pdf</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>is-olf</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-manuscript</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-preprint</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-journal-matter</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-scanned</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>is-retracted</meta-name><meta-value>no</meta-value></custom-meta></custom-meta-group></article-meta><notes notes-type="article-notes"><sec id="historyarticle-meta1" sec-type="history" disp-level="2"><p>Received 2025 Jun 21; Revised 2025 Jul 19; Accepted 2025 Jul 26; Collection date 2025 Aug.</p></sec></notes></front><body><sec id="sec1-plants-14-02337" disp-level="1"><title>1. Introduction</title><p><italic>Brassica rapa</italic> (<italic>B. rapa</italic>) is a commonly grown <italic>Brassica</italic> crop in Asia. The cultivated area in China represents at least 15% of the total vegetable cultivation area of the country, and the cultivation method and nutritional value of <italic>B. rapa</italic> have long been widely recognized [<xref rid="B1-plants-14-02337" ref-type="bibr">1</xref>,<xref rid="B2-plants-14-02337" ref-type="bibr">2</xref>]. Unfortunately, it can be infected by <italic>Plasmodiophora</italic>, one of the most severe soil-borne pathogens of <italic>Brassica</italic> plants, caused by the flagellate fungus <italic>Plasmodiophora brassicae</italic>, which mainly attacks plant roots [<xref rid="B3-plants-14-02337" ref-type="bibr">3</xref>]. After a severe attack caused by <italic>Plasmodiophora</italic>, plants exhibit several symptoms, including the expansion and swelling of root structures, impeded development of above-ground parts [<xref rid="B4-plants-14-02337" ref-type="bibr">4</xref>], slowed growth [<xref rid="B3-plants-14-02337" ref-type="bibr">3</xref>], and even death [<xref rid="B4-plants-14-02337" ref-type="bibr">4</xref>]. Therefore, it is crucial to reveal the effects of <italic>Plasmodiophora</italic> infection on <italic>B. rapa.</italic></p><p>The previously established methods for assessing plant growth, such as Koch’s law [<xref rid="B5-plants-14-02337" ref-type="bibr">5</xref>], enzyme immunoassays [<xref rid="B6-plants-14-02337" ref-type="bibr">6</xref>], and multispectral imaging [<xref rid="B7-plants-14-02337" ref-type="bibr">7</xref>], have drawbacks, including time consumption, operational difficulty, etc. Additionally, these methods damage plant tissues, making it challenging to quantify the dynamic changes in plant growth. Therefore, a suitable methodology that can analyze the dynamic changes in <italic>B. rapa</italic> growth during <italic>Plasmodiophora</italic> infection without causing damage is urgently needed.</p><p>Compared with other methods, measuring plant electrical signals is the best technique for performing plant electrophysiological analysis, providing an excellent alternative. The main physiological parameters of plants include capacitance (C), resistance (R), impedance (Z), capacitive reactance (X<sub>C</sub>), and inductive reactance (X<sub>L</sub>). When plants are affected by metabolic alterations and external stresses, they produce electrical responses, which are changes in the potentials generated by cells and tissues [<xref rid="B8-plants-14-02337" ref-type="bibr">8</xref>]. The cell membrane, which consists of a phospholipid bilayer (PLB) and internal compounds (lipids, proteins, sugars, etc.), is the crucial site for generating plant electrical signals [<xref rid="B9-plants-14-02337" ref-type="bibr">9</xref>]. Typically, the phospholipid bilayer can be divided into electron-dense bands on both the inner and outer membrane sides and a transparent band in the middle. The bilayer structure of the cell membrane is the source of the electrical properties of a cell, and membrane lipids can be viewed as an insulating layer having high electrical resistivity, which induces the cell to store charges [<xref rid="B10-plants-14-02337" ref-type="bibr">10</xref>]. The cell membrane has strict selective permeability to ions, and the electrolyte solution (ES) on both sides has a specific conductive state [<xref rid="B11-plants-14-02337" ref-type="bibr">11</xref>]. The inner and outer sides of the membrane can be modeled as a leaky capacitor (LC). The solution on both sides of the membrane can be viewed as the two polar plates of the capacitor [<xref rid="B12-plants-14-02337" ref-type="bibr">12</xref>]. The cell membrane acts as the dielectric medium of the capacitor [<xref rid="B13-plants-14-02337" ref-type="bibr">13</xref>]. The intracellular ions, ionic groups (IGs), and electric dipoles (EDs) are equivalent to the electrolytes in which plant cell membranes are capacitive [<xref rid="B14-plants-14-02337" ref-type="bibr">14</xref>]. When adverse conditions damage cells, their structure, composition, and ion permeability alter, leading to changes in the electrical properties [<xref rid="B15-plants-14-02337" ref-type="bibr">15</xref>].</p><p>Recently, electrophysiology technology has been widely used to analyze the growth of potatoes [<xref rid="B14-plants-14-02337" ref-type="bibr">14</xref>], tomatoes [<xref rid="B16-plants-14-02337" ref-type="bibr">16</xref>], wheat [<xref rid="B17-plants-14-02337" ref-type="bibr">17</xref>], and other crops, as well as in disease prevention. In addition, it is used in the analysis of dynamic changes in plant growth, a process accompanied by the water, nutrient, and cellular metabolism of plant species [<xref rid="B16-plants-14-02337" ref-type="bibr">16</xref>]. All these processes involve charge separation, electron movement, and the transport of dielectric substances, leading to changes in plant electrical signals [<xref rid="B17-plants-14-02337" ref-type="bibr">17</xref>]. Similarly, when plants are subjected to external stimuli, electrical signals provide direct feedback on changes in growth, which are reflected in changes in photosynthesis, water and nutrient uptake, and cell metabolic energy [<xref rid="B18-plants-14-02337" ref-type="bibr">18</xref>]. Since the substance transport capacity depends on the type and amount of surface and bound proteins in the cell membrane [<xref rid="B19-plants-14-02337" ref-type="bibr">19</xref>], the cell membrane structure can maintain the stability of the cellular environment by facilitating the transfer of substances through intrinsic and extrinsic proteins. The plant’s cell membrane chiefly determines its electrical resistance, with capacitance being influenced by the variety and number of extrinsic proteins and inductance being affected by the variety and number of intrinsic proteins [<xref rid="B20-plants-14-02337" ref-type="bibr">20</xref>]. Typically, ∆G and BPn promote the dynamic growth of plant species. Therefore, based on the determined R, Xc, and X<sub>L</sub>, three types of B-type dielectric substance transfer percentage—which are BPn<sub>R</sub> (the B-type dielectric substance transfer percentage based on resistance), BPn<sub>Xc</sub> (the B-type dielectric substance transfer percentage based on capacitive reactance), and BPn<sub>XL</sub> (the B-type dielectric substance transfer percentage based on inductive reactance)—need to be determined.</p><p>This study aimed to assess the performance of electrophysiological techniques for detecting <italic>Plasmodiophora</italic> infection in <italic>B. rapa</italic> by analyzing its growth status, photosynthesis, and electrical signals. It also investigated (1) the electrophysiological responses of <italic>B. rapa</italic> to <italic>Plasmodiophora</italic> and (2) the synergistic responses of intracellular water metabolism, nutrient translocation, ATP metabolism, and substance transfer characterization at different levels of <italic>Plasmodiophora</italic> infection in <italic>B. rapa</italic>, with the primary purpose of preventing <italic>Plasmodiophora</italic> infection in agricultural and food production.</p></sec><sec id="sec2-plants-14-02337" disp-level="1"><title>2. Materials and Methods</title><sec id="sec2dot1-plants-14-02337" disp-level="2"><title>2.1. Plant Selection and Preparation of Conidial Suspensions</title><p>In this study, Yangtze No. 5 <italic>B. rapa</italic>, which is abbreviated as <italic>B. rapa</italic> in this experiment, sourced from Dezhou City, Shandong Province of China, was chosen for the experiments because of its notable strong disease resistance. <italic>Plasmodiophora</italic> was selected because it is a prevalent fungal pathogen that commonly infects <italic>B. rapa</italic> in China. <italic>Plasmodiophora</italic> was extracted meticulously following the detailed steps a-f outlined in <xref rid="app1-plants-14-02337" ref-type="sec">Figure S1</xref> (the process of infection with <italic>Plasmodiophora</italic>).</p></sec><sec id="sec2dot2-plants-14-02337" disp-level="2"><title>2.2. Plasmodiophora Infection Treatment</title><p><xref rid="plants-14-02337-f001" ref-type="fig">Figure 1</xref> illustrates the infection of <italic>B. rapa</italic> with various concentrations of <italic>Plasmodiophora</italic>. The infected seeds were sown in hole trays containing sterile soil and cultivated under controlled conditions, with temperatures maintained at 25 °C during the day and 10 °C at night. On the 30th day, the seedlings were subjected to treatments with <italic>Plasmodiophora</italic> at six different concentrations: 0, 2 × 10<sup>9</sup>, 4 × 10<sup>9</sup>, 6 × 10<sup>9</sup>, 8 × 10<sup>9</sup>, and 10 × 10<sup>9</sup> spores/mL. Following this treatment, samples were harvested after 14 days to assess the impact of fungal infection.</p><fig id="plants-14-02337-f001" position="float"><?disp-level 3?><label>Figure 1</label><caption><p>The infection experiment of Plasmodiophora on <italic>B. rapa</italic> at different concentrations as follows: 0, 2 × 10<sup>9</sup>, 4 × 10<sup>9</sup>, 6 × 10<sup>9</sup>, 8 × 10<sup>9</sup>, and 10 × 10<sup>9</sup> spores/mL.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g001.jpg"><?cloudpmc-path blobs/39f5/12349594/8a9aef652576/plants-14-02337-g001.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1130?><?original-width 2262?><?scaled-height 377?><?scaled-width 754?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g001.gif"><?cloudpmc-path blobs/39f5/12349594/52c633d44647/plants-14-02337-g001.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec2dot3-plants-14-02337" disp-level="2"><title>2.3. Biomass Estimation</title><p>The root-to-shoot ratio of <italic>B. rapa</italic> (Equation (1)) under the various treatments was quantified by initially heating the root, stem, and leaf parts of the plants at 108 °C for 30 min, and then drying them at 70 °C.</p><disp-formula id="disp-formula1"><label>(1)</label><inline-formula>R/S (%) = Biomass (Root)/Biomass (Shoot) × 100%</inline-formula></disp-formula><p>
where R represents the root, and S denotes the above-ground parts (shoot) of the plant.</p></sec><sec id="sec2dot4-plants-14-02337" disp-level="2"><title>2.4. Measurement of Photosynthesis of Plant Species</title><p>The 2nd and 3rd fully expanded leaves of <italic>B. rapa</italic> were used to measure photosynthesis from 9:00 to 11:00 a.m. using the LI-6400 photosynthesis system (LI-COR, Lincoln, NE, USA). Herein, the net photosynthetic rate (Pn, μmol/m<sup>2</sup>·s<sup>−1</sup>), stomatal conductance (Cond, mmol/H<sub>2</sub>O m<sup>2</sup>·s<sup>−1</sup>), transpiration rate (Tr, mmol H<sub>2</sub>O/m<sup>2</sup>·s<sup>−1</sup>), and intercellular CO<sub>2</sub> concentration (Ci, μmol CO<sub>2</sub> mol<sup>−1</sup>·air) were determined. Water use efficiency (WUE) was calculated using Equation (2). The other measured parameters included a temperature of 25 °C, a CO<sub>2</sub> concentration of 400 μmol mol<sup>−1</sup> in buffered glass bottles, and a photosynthetically active radiation intensity of 500 μmol/m<sup>2</sup>·s<sup>−1</sup>.</p><disp-formula id="disp-formula2"><label>(2)</label><inline-formula>WUE (%) = Pn/Tr × 100%</inline-formula></disp-formula></sec><sec id="sec2dot5-plants-14-02337" disp-level="2"><title>2.5. Measurement of Electrophysiological Parameters of the Plant</title><p>Since photosynthesis in leaves does not directly reflect electrophysiological parameters of the experiment, the second fully expanded leaf of each plant was selected to measure the electrophysiological parameters (<xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>). The experimental environment was as follows: air relative humidity (75 ± 5)% and daytime/night cycle temperature (30 °C/20 °C). The leaves were placed between two electrode plates (silver electrode, Ag) of a parallel-plate capacitor, which was operated by an LCR-6100 LCR meter (Gwinstek, Taiwan, China) with the frequency (f) set to 3 kHz and the voltage (U) set to 1.5 V. The measurement equipment included a holder, electrode plates, wires, iron blocks, and plastic rods. The electrode plates were embedded in the bracket and the bottom of the plastic rods (<xref rid="app1-plants-14-02337" ref-type="sec">Figure S2</xref>) and were connected to the LCR meter through wires. The two electrode plates clamped the leaves to be measured. In the parallel mode, C, R, and Z of the plant leaves were determined by adding different numbers of iron blocks of equal mass with a fixed clamping force (1 N, 2 N, 3 N, 5 N, and 7 N). R and Z were measured 15 times for each plant leaf, and we established fitting equations for the electrophysiological parameters.</p><fig id="plants-14-02337-f002" position="float"><?disp-level 3?><label>Figure 2</label><caption><p>Photosynthesis of <italic>B. rapa</italic> at different concentrations of <italic>Plasmodiophora</italic> infection. The data in the graph are presented as the mean ± standard deviation, n = 5; n is the number of plants per treatment. PWB denotes the infection by <italic>Plasmodiophora</italic> of <italic>B. rapa</italic> at different concentrations as follows: CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. (<bold>a</bold>): Pn photosynthetic rate; (<bold>b</bold>): Cond indicates stomatal conductivity; (<bold>c</bold>): Tr indicates transpiration; (<bold>d</bold>): Ci indicates intercellular carbon dioxide concentration; and (<bold>e</bold>): WUE indicates water use efficiency. The different lowercase letters a, b, and c in the table denote the significance of differences at <italic>p</italic> &lt; 0.05.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g002.jpg"><?cloudpmc-path blobs/39f5/12349594/7eca39064218/plants-14-02337-g002.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 2926?><?original-width 2666?><?scaled-height 835?><?scaled-width 761?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g002.gif"><?cloudpmc-path blobs/39f5/12349594/1b1c1bf72ff5/plants-14-02337-g002.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec2dot6-plants-14-02337" disp-level="2"><title>2.6. Calculation of Plant Electrophysiological Parameters</title><p>Considering the metabolic energy of plant cells as a factor, the application of different clamping forces alters the structural morphology of the chloroplasts, thereby affecting the electrical signaling activities within the cells. Based on the Gibbs free energy equation and the Nernst equation, this study constructed a model to describe the variations in R, Z, and C of the plant leaves with clamping force, as shown in Equation (3). The steps for deriving C, R, Z, Xc, and X<sub>L</sub> of the plant leaves are detailed in Equations (4)–(8). The variation in plant leaf X<sub>L</sub> with clamping force was modeled as Equation (9).</p><disp-formula id="FD1-plants-14-02337"><label>(3)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm1" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">F</mml:mi><mml:mo>=</mml:mo><mml:mfenced separators="|"><mml:mrow><mml:mi mathvariant="normal">M</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD2-plants-14-02337"><label>(4)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm2" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">x</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD3-plants-14-02337"><label>(5)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm3" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">y</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD4-plants-14-02337"><label>(6)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm4" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD5-plants-14-02337"><label>(7)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm5" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">q</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD6-plants-14-02337"><label>(8)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm6" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>−</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>−</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD7-plants-14-02337"><label>(9)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm7" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">a</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">F</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></disp-formula><p>
where F is the clamping force exerted by the iron block in newtons (N), M is the mass of the iron block (kg), m is the mass of the plastic rod and the electrode sheet (kg), g is acceleration due to gravity (9.8 N/kg), C is the capacitance of the plant leaves, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm8" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">x</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, h is a constant, R is the resistance of the plant leaves, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm9" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">y</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm10" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm11" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, e is the base of the natural logarithm, Z is the impedance of the plant leaves, p<sub>0</sub> is a constant, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm12" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm13" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> is a constant, F is the clamping force, e is the base of the natural logarithm, Xc is a capacitive reactance of the plant leaves, q<sub>0</sub> is the initial capacitive reactance without any clamping force, k<sub>3</sub> is a constant relating exponential decay to the clamping force, b<sub>3</sub> is a decay constant for the capacitive reactance concerning clamping force, X<sub>L</sub> is the inductive reactance of the plant leaves, R is the resistance of the plant leaves, Xc is the capacitive reactance of the plant leaves, a<sub>0</sub> is the initial inductive reactance without any clamping force, k<sub>4</sub> is a constant relating exponential decay to the clamping force, and b<sub>4</sub> is a decay constant for the inductive reactance concerning clamping force.</p><p>As the nutrient capacity of plant leaves can be calculated when F is 0, we obtain intrinsic resistance (IR), the intrinsic capacitive reactance (IXc), and the intrinsic inductive reactance (IX<sub>L</sub>) using Equations (10)–(12), and intrinsic impedance (IZ) and intrinsic capacitance (IC<sub>P</sub>) were calculated using Equations (13) and (14). </p><disp-formula id="FD8-plants-14-02337"><label>(10)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm14" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">y</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD9-plants-14-02337"><label>(11)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm15" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">q</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD10-plants-14-02337"><label>(12)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm16" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">a</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD11-plants-14-02337"><label>(13)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm17" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>−</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD12-plants-14-02337"><label>(14)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm18" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">P</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi mathvariant="sans-serif">π</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><p>
where y<sub>0</sub> is the initial or baseline resistance value, k<sub>1</sub> is a constant or coefficient that modifies the initial resistance, q0 is the initial or baseline capacitive reactance value, k3 is a constant or coefficient that modifies the initial capacitive reactance, a0 is the initial or baseline inductive reactance value, k4 is a constant or coefficient that modifies the initial inductive reactance, and f is frequency.</p></sec><sec id="sec2dot7-plants-14-02337" disp-level="2"><title>2.7. Estimation of Intracellular Water Metabolism in Plants Based on Electrophysiological Information</title><p>Based on the water-holding capacity of cells, which is directly proportional to C3/2, it is possible to characterize the water-holding capacity of the plant leaves using Equation (15) (IWHC). The specific adequate thickness (d) of the plant leaves was calculated using Equations (16) and (17). The relative intracellular water use efficiency (IWUE), intracellular water-holding time (IWHT), and water transfer rate (WRT) of the plant leaves were obtained using Equations (18)–(20).</p><disp-formula id="FD13-plants-14-02337"><label>(15)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm19" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:msup><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:msqrt></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD14-plants-14-02337"><label>(16)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm20" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD15-plants-14-02337"><label>(17)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm21" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="normal">h</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD16-plants-14-02337"><label>(18)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm22" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">E</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">d</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD17-plants-14-02337"><label>(19)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm23" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">C</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD18-plants-14-02337"><label>(20)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm24" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula></sec><sec id="sec2dot8-plants-14-02337" disp-level="2"><title>2.8. Nutrient Transport Capacity Based on Electrophysiological Information Characterization</title><p>Based on the plant electrophysiological information, the unit for nutrient-relative transport (UNF), the nutrient transfer rate (NTR), nutrient transfer capacity (NTC), the unit for nutrient active flow (UAF), and nutrient active transport capacity (NAC) were calculated using Equations (21)–(25).</p><disp-formula id="FD19-plants-14-02337"><label>(21)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm25" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD20-plants-14-02337"><label>(22)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm26" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">W</mml:mi><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD21-plants-14-02337"><label>(23)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm27" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD22-plants-14-02337"><label>(24)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm28" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">I</mml:mi><mml:mi mathvariant="normal">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD23-plants-14-02337"><label>(25)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm29" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mi mathvariant="normal">F</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><p>
where R represents resistance, IXc is the current flow through a cell, IX<sub>L</sub> is the current flow through a leaf, IWHC is the integrated water-holding capacity, IWHT is the integrated water-holding time, UNF is a nutrient-relative transport unit, NTR is the nutrient transfer rate, UAF is a nutrient active flow unit, and NTR is the nutrient transfer rate.</p></sec><sec id="sec2dot9-plants-14-02337" disp-level="2"><title>2.9. The Cellular Metabolic Energy for B. rapa Leaves</title><p>Based on C, R, and Z of the plant leaves, cellular metabolic energy can be calculated based on a model constructed with electrophysiological parameters. According to the parameters from Equation (4), the unit for the metabolizable energy of leaf cells (ΔG<sub>R−E</sub>) can be obtained as shown in Equation (26). Based on Equation (5), the Z-based metabolic energy per unit of plant leaf cells (ΔG<sub>Z−E</sub>) can be obtained using Equation (27). The cellular energy metabolism for R (ΔG<sub>R−E</sub>) and Z (ΔG<sub>Z−E</sub>) and the average metabolic energy (ΔG) were calculated using Equations (28)–(30).</p><disp-formula id="FD24-plants-14-02337"><label>(26)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm30" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">y</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD25-plants-14-02337"><label>(27)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm31" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD26-plants-14-02337"><label>(28)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm32" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD27-plants-14-02337"><label>(29)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm33" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant="normal">E</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD28-plants-14-02337"><label>(30)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm34" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:mi mathvariant="normal">G</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="sans-serif">Δ</mml:mi><mml:msub><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Z</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mrow></mml:math></disp-formula><p>
where lnk<sub>2</sub> is a natural logarithm of the rate constant k<sub>2</sub>, lnp<sub>0</sub> is the natural logarithm of the initial parameter p<sub>0</sub>, b<sub>2</sub> is a coefficient related to energy calculation, ΔG<sub>R</sub> is a metabolic energy related to parameter R, ΔG<sub>R−E</sub> is energy per unit related to parameter R, d is a dimensionless scaling factor, ΔG<sub>Z</sub> is metabolic energy related to parameter Z, ΔG<sub>Z−E</sub> is energy per unit related to parameter Z, ΔG is average metabolic energy, ΔG<sub>R</sub> is metabolic energy associated with R, and ΔG<sub>Z</sub> is metabolic energy related to Z.</p></sec><sec id="sec2dot10-plants-14-02337" disp-level="2"><title>2.10. B-Type Dielectric Substance Transfer Percentage of B. rapa Leaves</title><p>The B-type dielectric substance transfer percentage is represented by Equations (31)–(34). The percentage values for the R, Xc, and X<sub>L</sub> components of the B-type dielectric substance transfer percentage are detailed in Equations (35)–(37). Here, BPn<sub>R</sub>, BPn<sub>Xc</sub>, and BPn<sub>XL</sub> represent the B-type dielectric substance transfer percentage associated with R, Xc, and X<sub>L</sub>; Bn<sub>T</sub> represents the total transfer number, which is the sum of BPn<sub>R</sub>, BPn<sub>Xc</sub>, and BPn<sub>XL</sub>.</p><disp-formula id="FD29-plants-14-02337"><label>(31)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm35" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD30-plants-14-02337"><label>(32)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm36" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD31-plants-14-02337"><label>(33)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm37" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">b</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD32-plants-14-02337"><label>(34)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm38" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD33-plants-14-02337"><label>(35)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm39" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>100</mml:mn><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>%</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD34-plants-14-02337"><label>(36)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm40" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>100</mml:mn><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>%</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula><disp-formula id="FD35-plants-14-02337"><label>(37)</label><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mm41" display="block" overflow="scroll"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mfrac><mml:mrow><mml:mn>100</mml:mn><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">X</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>%</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula></sec><sec id="sec2dot11-plants-14-02337" disp-level="2"><title>2.11. Statistical Analysis</title><p>The statistical software SPSS 25.0 was employed to analyze variance (ANOVA) and perform Duncan’s multiple range tests to identify significant differences. Additionally, SPSS was utilized to conduct Pearson correlation analysis to determine the relationship between each indicator [<xref rid="B10-plants-14-02337" ref-type="bibr">10</xref>,<xref rid="B15-plants-14-02337" ref-type="bibr">15</xref>]. The experimental results are presented as the mean ± standard deviation (Mean ± SE). The graphs and figures were generated using Origin 2021Pro.</p></sec></sec><sec id="sec3-plants-14-02337" disp-level="1"><title>3. Results</title><sec id="sec3dot1-plants-14-02337" disp-level="2"><title>3.1. Plant Biomass</title><p><xref rid="plants-14-02337-t001" ref-type="table">Table 1</xref> illustrates the biomass of <italic>B. rapa</italic> after infection with varying concentrations of <italic>Plasmodiophora</italic>. As the concentration of <italic>Plasmodiophora</italic> increased, there was a corresponding decrease in the root, shoot, and total biomasses of the plants. Notably, the reduction in biomass was most pronounced in <italic>B. rapa</italic> treated with PWB5. Specifically, the root biomass decreased by 74.93%, the shoot biomass by 26.38%, and the total biomass by 71.24% compared with the control group (CK). Despite the overall biomass reduction, the root–shoot ratio (R/S) of PWB5-treated <italic>B. rapa</italic> significantly increased by 50.45% compared with that of the CK.</p><table-wrap id="plants-14-02337-t001" position="float"><?disp-level 3?><label>Table 1</label><caption><p>Biomass of <italic>B. rapa</italic> infected with different concentrations of <italic>Plasmodiophora</italic>. The data in the graph are presented as the mean ± standard deviation; n is the number of plants per treatment, n = 5. PWB denotes the infection by <italic>Plasmodiophora</italic> of <italic>B. rapa</italic> at different concentrations as follows: CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. The different lowercase letters a, b, and c in this table denote the significance of differences at <italic>p</italic> &lt; 0.05.</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Treatment</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Root<break/>
(g/Plant)</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Shoot <break/>
(g/Plant)</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Total <break/>
(g/Plant)</th></tr></thead><tbody><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">3.71 ± 0.17 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">8.79 ± 0.16 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">12.49 ± 0.24 <sup>a</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">3.16 ± 0.01 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">8.16 ± 0.03 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">11.30 ± 0.26 <sup>a</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">2.28 ± 0.05 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">4.71 ± 0.2 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">6.99 ± 0.25 <sup>b</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">2.27 ± 0.1 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">3.69 ± 0.1 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">6.96 ± 0.15 <sup>b</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">2.05 ± 0.12 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">3.67 ± 0.1 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">5.71 ± 0.19 <sup>c</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">2.2 ± 0.11 <sup>b</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">1.39 ± 0.2 <sup>d</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">3.59 ± 0.12 <sup>d</sup></td></tr></tbody></table></table-wrap></sec><sec id="sec3dot2-plants-14-02337" disp-level="2"><title>3.2. Photosynthesis in Plants</title><p><xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref> illustrates the impact of varying concentrations of <italic>Plasmodiophora</italic> on the photosynthesis-related parameters in <italic>B. rapa</italic>. As shown in <xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>a, the photosynthetic rate (Pn) significantly decreased with increasing <italic>Plasmodiophora</italic> concentrations. PWB5 exhibited the lowest Pn, approximately 68.87% less than that of CK. This declination indicates a dose-dependent adverse effect of <italic>Plasmodiophora</italic> on the photosynthetic efficiency of <italic>B. rapa</italic>. As depicted in <xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>b, similar to Pn, the level of stomatal conductivity (Cond) decreased as the R. solami concentration increased. The CK group maintained the highest Cond level, whereas PWB5 had the lowest, with a reduction of 78.66%. This indicates impaired stomatal function and gas exchange due to <italic>Plasmodiophora</italic> infection. <xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>c shows a substantial decrease in the transpiration rate (Tr) with higher <italic>Plasmodiophora</italic> levels. PWB5 exhibited the lowest Tr, with a reduction of 66.68% compared with the control. The decreased Tr reflects impaired water movement and possible stomatal closure due to infection. <xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>d shows that the intercellular CO<sub>2</sub> concentration (Ci) decreases as the <italic>Plasmodiophora</italic> concentration increases. CK has the highest Ci, while PWB5 has the lowest, with a 38.78% decrease compared to CK. This reduction in Ci suggests restricted CO<sub>2</sub> diffusion into the leaf, impacting photosynthesis. As represented in <xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>e, water use efficiency (WUE) exhibited the lowest value in the PWB4 treatment, not PWB5. PWB4 showed a 38.32% decrease in WUE compared with that of CK. However, the water usage efficiency (WUE) in PWB5 did not significantly differ from that of CK.</p></sec><sec id="sec3dot3-plants-14-02337" disp-level="2"><title>3.3. Fitting Equations for Leaf Electrophysiological Parameters and Clamping Force</title><p><xref rid="plants-14-02337-t002" ref-type="table">Table 2</xref> and <xref rid="plants-14-02337-f003" ref-type="fig">Figure 3</xref> indicate the fitted equations of the electrophysiological parameters and the clamping force of <italic>Plasmodiophora</italic>-infected <italic>B. rapa.</italic> In this study, the C, R, Z, X<sub>C</sub>, X<sub>L</sub>, and F of <italic>B. rapa</italic> showed robust significance (R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01), proving that the phytoelectric signals could reliably characterize the response of <italic>B. rapa</italic> to infection with varying levels of <italic>Plasmodiophora</italic>. The C of the <italic>B. rapa</italic> leaves showed a trend opposite to that of R, Z, X<sub>C</sub>, and X<sub>L</sub>, with C showing a significant positive correlation with F. In contrast, R, Z, X<sub>C</sub>, and X<sub>L</sub> showed a marked negative association with F. C, Z, X, and F were remarkably correlated with F. In contrast, R, Z, X<sub>C</sub>, and X<sub>L</sub> were negatively associated with F.</p><table-wrap id="plants-14-02337-t002" position="float"><?disp-level 3?><label>Table 2</label><caption><p>Fitting equations for electrophysiological parameters and clamping force of <italic>B. rapa</italic> infected by <italic>Plasmodiophora</italic>. PWB denotes <italic>B. rapa</italic> infection experiments at different <italic>Plasmodiophora</italic> treatment concentrations of CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. C indicates capacitance, R indicates resistance, Z indicates impedance, Xc indicates capacitive reactance, and X<sub>L</sub> indicates inductive reactance. Bonferroni correction was used for all comparisons in <xref rid="plants-14-02337-t002" ref-type="table">Table 2</xref>. R<sup>2</sup> indicates that fitted equations correlate at 0.99, <italic>p</italic> &lt; 0.01 indicates significance of differences at 0.01, and n = 15 shows number of data fitted in each equation.</p></caption><table frame="hsides" rules="groups"><tbody><tr><td align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Treatment</td><td align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Capacitance/Clamping Force (C/F)</td><td align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Resistance/Clamping Force (R/F)</td><td align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Impedance/clamping force (Z/F)</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">C = 729.48 + 483.97F</td><td align="center" valign="middle" rowspan="1" colspan="1">R = 0.0875 + 0.0709e<sup>−0.4772F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">Z = 0.0559 + 0.0460e<sup>−0.5090F</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">C = 483.99 + 280.83F</td><td align="center" valign="middle" rowspan="1" colspan="1">R = 0.1311 + 0.1214e<sup>−0.5151F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">Z = 0.0850 + 0.0709e<sup>−0.4922F</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">C = 390.16 + 178.93F</td><td align="center" valign="middle" rowspan="1" colspan="1">R = 0.1932 +0.1698e<sup>−0.7741F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">Z = 0.1102 + 0.0919e <sup>−0.6872F</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">C = 372.02 + 137.29F</td><td align="center" valign="middle" rowspan="1" colspan="1">R = 0.1889 + 0.1489e<sup>−0.6490F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">Z = 0.1135 + 0.0865e<sup>−0.6183F</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">C = 315.33 + 220.70F</td><td align="center" valign="middle" rowspan="1" colspan="1">R = 0.3043 + 0.2631e<sup>−0.6062F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">Z = 0.1558 + 0.1338e<sup>−0.5379F</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">C = 159.80 + 102.11F</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">R = 0.6745 + 0.6210e<sup>−0.7561F</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">Z = 0.2969 + 0.2589e<sup>−0.6517F</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">Treatment</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">Tolerance/Clamping force (X<sub>C</sub>/F)</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">Sense resistance/clamping force (X<sub>L</sub>/F)</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">R<sup>2</sup>/<italic>p</italic>/n</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">Xc = 0.0728 + 0.0604e<sup>−0.5291F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">X<sub>L</sub> = 0.13.0 + 0.1121e<sup>−0.4700F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">Xc = 0.1103 + 0.0862e<sup>−0.5340F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">X<sub>L</sub> = 0.1878 + 0.1555e<sup>−0.5071F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">Xc = 0.1364 + 0.1058e<sup>−0.6591F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">X<sub>L</sub> = 0.2800 + 0.2335e<sup>−0.7310F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">Xc = 0.1426 + 0.1050e<sup>−0.6146F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">X<sub>L</sub> = 0.2841 + 0.2177e<sup>−0.6364F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">Xc = 0.1731 + 0.1484e<sup>−0.5027F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">X<sub>L</sub> = 0.4587 + 0.3966e<sup>−0.6007F</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">Xc = 0.3325 + 0.2745e<sup>−0.6522F</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">X<sub>L</sub> = 0.8771 + 0.7810e<sup>−0.7309F</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">R<sup>2</sup> = 0.99, <italic>p</italic> &lt; 0.01, n = 15</td></tr></tbody></table></table-wrap><fig id="plants-14-02337-f003" position="float"><?disp-level 3?><label>Figure 3</label><caption><p>Fitting equations for electrophysiological parameters of <italic>B. rapa</italic> leaves in response to different clamping forces. <italic>Plasmodiophora</italic> concentrations were CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. C indicates capacitance (<bold>a</bold>), R indicates resistance (<bold>b</bold>), Z indicates impedance (<bold>c</bold>), Xc indicates capacitive reactance (<bold>d</bold>), and X<sub>L</sub> indicates inductive reactance (<bold>e</bold>). R<sup>2</sup> indicates that correlation of fitted equations is 0.99, and <italic>p</italic> &lt; 0.01 indicates significance difference at 0.01.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g003.jpg"><?cloudpmc-path blobs/39f5/12349594/3e3068c55e1a/plants-14-02337-g003.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3124?><?original-width 2658?><?scaled-height 892?><?scaled-width 759?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g003.gif"><?cloudpmc-path blobs/39f5/12349594/95f0eed8c425/plants-14-02337-g003.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec3dot4-plants-14-02337" disp-level="2"><title>3.4. Electrophysiological Information About Plants During Plasmodiophora Infection</title><p>Based on the fitting equations of <italic>B. rapa</italic> electrical signals to the clamping force (F) after infection with varying concentrations of <italic>Plasmodiophora</italic>, the present study deduced the intrinsic electrophysiological information about the <italic>B. rapa</italic> leaves when F = 0 (<xref rid="plants-14-02337-t003" ref-type="table">Table 3</xref>). The IC<sub>P</sub> of <italic>B. rapa</italic> decreased with increasing <italic>Plasmodiophora</italic> contents, whereas IR, IZ, IX<sub>C</sub>, and IX<sub>L</sub> increased. The IC<sub>P</sub> of the PWB5 variety was the smallest, being 78.09% lower than that of the CK, whereas the IR, IZ, IX<sub>C</sub>, and IX<sub>L</sub> values were approximately 4–8 times higher than those of the CK. Specifically, the IR of PWB5 was 67.45 ± 10.00 MΩ, which was significantly higher than the CK value of 8.75 ± 1.25 MΩ. The IZ value for PWB5 was 29.69 ± 0.82 MΩ, whereas the CK had a value of 5.59 ± 0.44 MΩ. The IXC for PWB5 reached 33.25 ± 1.57 MΩ compared to 7.28 ± 0.29 MΩ for the CK. Similarly, the IX<sub>L</sub> value of PWB5 was 87.71 ± 7.99 MΩ, markedly higher than the CK’s 13.70 ± 1.35 MΩ. The trend observed indicates a significant electrophysiological shift in <italic>B. rapa</italic> with increased <italic>Plasmodiophora</italic> concentration.</p><table-wrap id="plants-14-02337-t003" position="float"><?disp-level 3?><label>Table 3</label><caption><p>Electrophysiological information inherent in <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> concentrations. Values in table are expressed as mean ± standard deviation, n = 5; n is number of plants per treatment. PWB denotes <italic>B. rapa</italic> infection experiments at different <italic>Plasmodiophora</italic> treatment concentrations, which were CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. IC indicates intrinsic capacitance, IR indicates intrinsic resistance, IZ indicates intrinsic impedance, IXc indicates intrinsic capacitive reactance, and IX<sub>L</sub> indicates inductive reactance. Lowercase letters a, b, c, d, and e in table denote significance difference at 0.05 (<italic>p</italic> &lt; 0.05).</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Treatment</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IC<sub>P</sub>/pF</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IR/MΩ</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IZ/MΩ</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IX<sub>C</sub>/MΩ</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IX<sub>L</sub>/MΩ</th></tr></thead><tbody><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">729.48 ± 28.48 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">8.75 ± 1.25 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">5.59 ± 0.44 <sup>e</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">7.28 ± 0.29 <sup>d</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">13.70 ± 1.35 <sup>d</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">483.99 ± 46.92 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">14.11 ± 1.07 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">8.50 ± 0.18 <sup>d</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">11.03 ± 1.01 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">18.78 ± 4.99 <sup>d</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">390.16 ± 28.28 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">19.32 ± 5.18 <sup>bc</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">11.02 ± 0.65 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">13.64 ± 0.95 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">28.00 ± 3.31 <sup>c</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">372.02 ± 6.38 <sup>cd</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">18.89 ± 1.64 <sup>bc</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">11.35 ± 0.42 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">14.26 ± 0.24 <sup>bc</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">28.41 ± 1.66 <sup>c</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">315.33 ± 61.16 <sup>d</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">30.43 ± 10.83 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">15.58 ± 2.95 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">17.31 ± 3.78 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">45.87 ± 6.01 <sup>b</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">159.80 ± 7.48 <sup>e</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">67.45 ± 10.00 <sup>a</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">29.69 ± 0.82 <sup>a</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">33.25 ± 1.57 <sup>a</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">87.71 ± 7.99 <sup>a</sup></td></tr></tbody></table></table-wrap></sec><sec id="sec3dot5-plants-14-02337" disp-level="2"><title>3.5. Intracellular Water Metabolism Based on Plant Electrical Signal Quantification in B. rapa</title><p>The intracellular water metabolism characteristics of <italic>B. rapa</italic> were determined using the intrinsic electrophysiological data collected after the plant was infected with various concentrations of <italic>Plasmodiophora</italic> (<xref rid="plants-14-02337-t004" ref-type="table">Table 4</xref>). This study revealed that the IWHC, IWUE, and WRT of <italic>B. rapa</italic> decreased, whereas the IWHT increased with increased <italic>Plasmodiophora</italic> concentrations. The IWHC and the WRT were the lowest in PWB5, where they were 63.66% and 68.86% less than those of the CK, respectively. Specifically, the IWHC decreased from 8102.65 ± 211.46 in the CK to 2944.35 ± 92.05 in PWB5, and the WRT decreased from 199.54 ± 12.54 in the CK to 62.13 ± 2.30 in PWB5. Conversely, the IWHT was the highest in PWB4, showing a 17.83% increase compared with the CK, with the values rising from 40.67 ± 1.60 in the CK to 47.92 ± 1.26 in PWB5. Additionally, IWUE was the lowest in PWB3, showing a 55.64% reduction compared to the CK, with the values decreasing from 6.74 ± 1.11 in the CK to 2.99 ± 0.80 in PWB3. The other treatments also showed significant changes, with varying degrees of decrease in the IWHC, IWUE, and the WRT, whereas the IWHT increased with the concentration of <italic>Plasmodiophora</italic>.</p><table-wrap id="plants-14-02337-t004" position="float"><?disp-level 3?><label>Table 4</label><caption><p>Characteristics of intracellular water metabolism in <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> concentrations. Values in table are expressed as mean ± standard deviation, n = 5; n is number of plants per treatment. PWB denotes <italic>B. rapa</italic> infection experiments at different <italic>Plasmodiophora</italic> concentrations as follows: CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. IWHC indicates intracellular water-holding capacity, IWUE indicates intracellular water use efficiency, IWHT indicates intracellular water-holding time, and WRT indicates water rate translocation. Lowercase letters a, b, c, d, and e in table indicate significance difference at 0.05 (<italic>p</italic> &lt; 0.05).</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Treatment</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IWHC</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IWUE (10<sup>−2</sup>)</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">IWHT</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">WRT</th></tr></thead><tbody><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">8102.65 ± 211.46 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">6.74 ± 1.11 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">40.67 ± 1.60 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">199.54 ± 12.54 <sup>a</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">6160.25 ± 395.00 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">5.01 ± 2.78 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">41.00 ± 3.08 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">149.96 ± 1.61 <sup>b</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">5337.38 ± 256.34 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">3.78 ± 0.23 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">43.13 ± 5.74 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">124.63 ± 9.92 <sup>c</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">5172.47 ± 59.08 <sup>cd</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">2.99 ± 0.80 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">42.22 ± 0.94 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">122.57 ± 3.86 <sup>c</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">4619.06 ± 612.13 <sup>d</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">5.54 ± 1.91 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">47.92 ± 1.26 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">96.20 ± 10.40 <sup>d</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">2944.35 ± 92.05 <sup>e</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">3.91 ± 0.46 <sup>ab</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">47.46 ± 2.95 <sup>a</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">62.13 ± 2.30 <sup>e</sup></td></tr></tbody></table></table-wrap></sec><sec id="sec3dot6-plants-14-02337" disp-level="2"><title>3.6. Characterization of Nutrient Transport in B. rapa Plant</title><p>The nutrient transport characteristics of <italic>B. rapa</italic> were obtained based on the intrinsic electrophysiological information about <italic>B. rapa</italic> after infection with different <italic>Plasmodiophora</italic> concentrations (<xref rid="plants-14-02337-t005" ref-type="table">Table 5</xref>). It was identified that the UNF of <italic>B. rapa</italic> was significantly enhanced post-infection with worsening <italic>Plasmodiophora</italic> infection, with the UNF value of PWB5 being the highest at 280.48 ± 42.46 × 10<sup>−2</sup>, indicating a 52.83% increase compared with the CK. Conversely, the NTR, NTC, UAF, and NAC values were reduced as the <italic>Plasmodiophora</italic> concentration increased. Specifically, the NTR of PWB5 decreased to 62.13 ± 2.30, which is a reduction of 68.86% compared to the CK. The NTC of PWB5 fell to 173.70 ± 20.94, representing a 52.40% decrease from the CK value. Similarly, the UAF of PWB5 showed a 28.36% reduction, and the NAC value of PWB5 significantly diminished to 23.82 ± 4.21, showing an 77.68% decrease compared to the CK. These findings highlight the adverse impact of higher <italic>Plasmodiophora</italic> concentrations on the nutrient transport efficiency in <italic>B. rapa.</italic></p><table-wrap id="plants-14-02337-t005" position="float"><?disp-level 3?><label>Table 5</label><caption><p>Characteristics of nutrient transport in <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> concentrations. Values in table are expressed as mean ± standard deviation, n = 5, and n is number of plants in each treatment. PWB denotes infection by <italic>Plasmodiophora</italic> of <italic>B. rapa</italic> at different concentrations as follows: CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. UNF denotes unit for translocation of nutrients. NTR denotes nutrient translocation rate, NTC indicates nutrient translocation capacity, UAF indicates nutrient active flow, and NAC indicates nutrient active translocation capacity. Lowercase letters a, b, c, d, and e in table indicate significant difference between groups (<italic>p</italic> &lt; 0.05).</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">Treatment</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">UNF(10<sup>−2</sup>)</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">NTR</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">NTC</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">UAF(10<sup>−2</sup>)</th><th align="center" valign="middle" style="border-top:solid thin;border-bottom:solid thin" rowspan="1" colspan="1">NAC</th></tr></thead><tbody><tr><td align="center" valign="middle" rowspan="1" colspan="1">CK</td><td align="center" valign="middle" rowspan="1" colspan="1">183.52 ± 15.07 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">199.54 ± 12.54 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">364.95 ± 6.83 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">53.35 ± 3.05 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">106.71 ± 12.52 <sup>a</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB1</td><td align="center" valign="middle" rowspan="1" colspan="1">208.21 ± 26,21 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">149.96 ± 1.61 <sup>b</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">312.11 ± 37.95 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">62.70 ± 22.82 <sup>a</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">94.21 ± 35.06 <sup>a</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB2</td><td align="center" valign="middle" rowspan="1" colspan="1">212.14 ± 59.73 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">124.63 ± 9.92 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">260.45 ± 50.04 <sup>bc</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">49.40 ± 8.63 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">62.14 ± 15.15 <sup>b</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB3</td><td align="center" valign="middle" rowspan="1" colspan="1">198.75 ± 11.49 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">122.57 ± 3.86 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">243.31 ± 6.60 <sup>bcd</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">50.29 ± 2.16 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">61.70 ± 4.51 <sup>b</sup></td></tr><tr><td align="center" valign="middle" rowspan="1" colspan="1">PWB4</td><td align="center" valign="middle" rowspan="1" colspan="1">240.68 ± 70.10 <sup>ab</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">96.20 ± 10.40 <sup>d</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">230.62 ± 71.57 <sup>cd</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">37.47 ± 3.10 <sup>c</sup></td><td align="center" valign="middle" rowspan="1" colspan="1">35.83 ± 1.11 <sup>bc</sup></td></tr><tr><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">PWB5</td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">280.48 ± 42.46 <sup>a</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">62.13 ± 2.30 <sup>e</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">173.70 ± 20.94 <sup>d</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">38.22 ± 5.32 <sup>b</sup></td><td align="center" valign="middle" style="border-bottom:solid thin" rowspan="1" colspan="1">23.82 ± 4.21 <sup>c</sup></td></tr></tbody></table></table-wrap></sec><sec id="sec3dot7-plants-14-02337" disp-level="2"><title>3.7. Cellular Metabolic Energy for the Leaf of B. rapa in Response to Plasmodiophora</title><p><xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref> illustrates the unit for metabolic energy (a) and the total metabolic energy (b) for the leaves of <italic>B. rapa</italic> in response to <italic>Plasmodiophora</italic> infection. As indicated in <xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref>a, the unit for cell metabolizable energies for R and Z denoted as ∆G<sub>R-E</sub>, ∆G<sub>Z-E</sub>, and ∆G<sub>E</sub> displayed varying trends of increase and decrease. Compared with those in the CK, ∆G<sub>R-E</sub> and ∆G<sub>E</sub> at PWB1 peaked, showing rises of 14.20% and 13.29%, respectively. Conversely, at PWB3, these values dropped to their lowest, with decreases of 33.11% and 35.22%, respectively. As shown in <xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref>b, ∆G<sub>R</sub>, ∆G<sub>Z</sub>, and ∆G<sub>E</sub> of the <italic>B. rapa</italic> leaves generally declined with worsening <italic>Plasmodiophora</italic> infection. Although there were minor increases at PWB2 and PWB4, they remained lower than the CK. The minimum values were observed at PWB5, with reductions of 77.10% and 79.26% for ∆G<sub>R</sub>, ∆G<sub>Z</sub>, respectively, compared with the CK.</p><fig id="plants-14-02337-f004" position="float"><?disp-level 3?><label>Figure 4</label><caption><p>Unit for cell energy metabolism (<bold>a</bold>) and cell energy metabolism (<bold>b</bold>) of leaves in <italic>B. rapa.</italic> PWB represents effect of <italic>Plasmodiophora</italic> infection on <italic>B. rapa</italic>; different <italic>Plasmodiophora</italic> treatment concentrations were CK-0, PWB1-2 × 10<sup>9</sup>, PWB2-4 × 10<sup>9</sup>, PWB3-6 × 10<sup>9</sup>, PWB4-8 × 10<sup>9</sup>, and PWB5-10 × 10<sup>9</sup> spores/mL. In (<bold>a</bold>), ∆G<sub>R-E</sub>, ∆G<sub>Z-E</sub>, and ∆G<sub>E</sub> represent units for cell metabolizable energy for R, Z, and chloroplast of <italic>B. rapa</italic>, respectively. In (<bold>b</bold>), ∆G<sub>R</sub>, ∆G<sub>Z</sub>, and ∆G<sub>E</sub> represent total cell metabolizable energy for R, Z, and chloroplast of <italic>B. rapa</italic>, respectively.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g004.jpg"><?cloudpmc-path blobs/39f5/12349594/2f4d67244842/plants-14-02337-g004.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3054?><?original-width 1815?><?scaled-height 1222?><?scaled-width 726?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g004.gif"><?cloudpmc-path blobs/39f5/12349594/f4fe868ca443/plants-14-02337-g004.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec3dot8-plants-14-02337" disp-level="2"><title>3.8. B-Type Dielectric Substance Transfer Percentage in B. rapa Leaves</title><p><xref rid="plants-14-02337-f005" ref-type="fig">Figure 5</xref> illustrates the percentage of B-type dielectric coefficients based on R, Xc, and X<sub>L</sub> in the <italic>B. rapa</italic> leaves, denoted as BPn<sub>R</sub>, BPn<sub>Xc</sub>, and BPn<sub>XL</sub>. The analysis shows that as the degree of <italic>Plasmodiophora</italic> infection increases, these dielectric coefficients show a noticeable change. Specifically, PWB4 exhibited the highest BPn<sub>R</sub>, approximately 21.1% higher than that of the CK. Conversely, the BPn<sub>Xc</sub> values for all the treatments were lower than those of the control, with PWB4 showing the lowest BPn<sub>Xc</sub>, which was 22.2% lower than that of the CK.</p><fig id="plants-14-02337-f005" position="float"><?disp-level 3?><label>Figure 5</label><caption><p>B-type dielectric substances transfer percentage of <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> infection concentrations. Different <italic>Plasmodiophora</italic> treatment concentrations are represented by CK-0 (<bold>a</bold>), PWB1-2 × 10<sup>9</sup> (<bold>b</bold>), PWB2-4 × 10<sup>9</sup> (<bold>c</bold>), PWB3-6 × 10<sup>9</sup> (<bold>d</bold>), and PWB4-8 × 10<sup>9</sup> (<bold>e</bold>), and PWB5-10 ×10<sup>9</sup> (<bold>f</bold>) spores/mL. BPn<sub>R</sub>, BPn<sub>Xc</sub>, and BPn<sub>XL</sub> represent percentage of B-type dielectric coefficients based on R, Xc, and X<sub>L</sub> in <italic>B. rapa.</italic></p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g005.jpg"><?cloudpmc-path blobs/39f5/12349594/69e1af3a5860/plants-14-02337-g005.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 3296?><?original-width 2317?><?scaled-height 1098?><?scaled-width 772?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g005.gif"><?cloudpmc-path blobs/39f5/12349594/a56ce123fef3/plants-14-02337-g005.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec><sec id="sec3dot9-plants-14-02337" disp-level="2"><title>3.9. Correlation Between Growth and Electrophysiological Information About B. rapa During Plasmodiophora Infection</title><p><xref rid="plants-14-02337-f006" ref-type="fig">Figure 6</xref> illustrates the correlation between growth, electrophysiological parameters, cellular metabolizable energy, and dielectric substance transfer capacity of <italic>B. rapa</italic> at varying levels of <italic>Plasmodiophora</italic> infection. The analysis showed that the growth of <italic>B. rapa</italic> was significantly positively correlated with several factors, including biomass, Pn, IC<sub>P</sub>, IWHC, IWUE, the NTR, NAC, and ΔG. Conversely, growth was significantly negatively correlated with IR, IZ, IXc, IX<sub>L</sub>, and the UNF.</p><fig id="plants-14-02337-f006" position="float"><?disp-level 3?><label>Figure 6</label><caption><p>Correlation between growth, electrophysiological information, cellular metabolizable energy, and dielectric substance transfer capacity of <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> infection levels. Biomass denotes drying weight of <italic>B. rapa</italic>, Pn denotes net photosynthetic rate, IC denotes intracellular capacitance, IR denotes intracellular resistance, IZ denotes intracellular impedance, IXc denotes intracellular capacitive reactance, IX<sub>L</sub> denotes intracellular reactance, IWHC denotes intracellular water-holding capacity, IWUE denotes intracellular water use efficiency, IWHT denotes intracellular water-holding time, WRT denotes water rate translocation, UNF denotes unit for translocation of nutrients, NTR denotes nutrient translocation rate, NTC denotes nutrient translocation capacity, UAF denotes nutrient active flow, NAC denotes nutrient active translocation capacity, ΔG<sub>E</sub> denotes unit of cellular metabolic energy, ΔG denotes total of cellular metabolic energy, BPn<sub>R</sub> denotes B-type dielectric material transfer capacity of R, BPn<sub>Xc</sub> denotes B-type dielectric material transfer capacity of X<sub>C</sub>, and BPn<sub>XL</sub> denotes B-type dielectric material transfer capacity of X<sub>L</sub>. ‘*’ represents significant correlation at 0.05 level.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g006.jpg"><?cloudpmc-path blobs/39f5/12349594/7ca1d7cf2ec2/plants-14-02337-g006.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1885?><?original-width 2431?><?scaled-height 538?><?scaled-width 694?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g006.gif"><?cloudpmc-path blobs/39f5/12349594/029efb2d8170/plants-14-02337-g006.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec></sec><sec id="sec4-plants-14-02337" disp-level="1"><title>4. Discussion</title><sec id="sec4dot1-plants-14-02337" disp-level="2"><title>4.1. Electrophysiology Can More Sensitively Reflect Plasmodiophora Infection</title><p>In this study, we found <italic>Plasmodiophora</italic> infection affected the dynamic plant electrical signals of <italic>B. rapa</italic>. Equations for calculating C, R, Z, X<sub>C</sub>, and X<sub>L</sub> of the <italic>B. rapa</italic> leaves were established under a fixed clamping force (Equations (3)–(9)). The correlation coefficient (R<sup>2</sup>) between C, R, Z, X<sub>C</sub>, X<sub>L</sub>, and F of the <italic>B. rapa</italic> leaf blades was 0.99, and the <italic>p</italic>-values of all the parameters of the fitted equations were &lt;0.0001 (<xref rid="plants-14-02337-t004" ref-type="table">Table 4</xref>). These results indicate a significant correlation between the clamping force and the electrical signals (C, R, Z, X<sub>C</sub>, and X<sub>L</sub>; <xref rid="plants-14-02337-f005" ref-type="fig">Figure 5</xref>) [<xref rid="B21-plants-14-02337" ref-type="bibr">21</xref>]. Therefore, when F was 0, we calculated the intrinsic electrical signals (IC<sub>P</sub>, R, Z, X<sub>C</sub>, and X<sub>L</sub>) of the <italic>B. rapa</italic> leaves (<xref rid="plants-14-02337-t003" ref-type="table">Table 3</xref>); the changes in growth conditions (<xref rid="plants-14-02337-t001" ref-type="table">Table 1</xref>) and photosynthesis (<xref rid="plants-14-02337-f002" ref-type="fig">Figure 2</xref>a–d) of <italic>B. rapa</italic> were directly proportional with capacitance, but inversely proportional with resistance, impedance, capacitance, and susceptibility. These findings indicate that the growth of <italic>B. rapa</italic> was inversely proportional to the degree of <italic>Plasmodiophora</italic> infection, which could be attributed to a reduction in the biomass and photosynthetic capacity of <italic>B. rapa</italic> in previous research. When elm trees were infected with <italic>Fusarium</italic> oxysporum, the electrical resistance of the trunks was substantially elevated, but their growth metabolism was undermined [<xref rid="B22-plants-14-02337" ref-type="bibr">22</xref>]. The electrical resistance of fir trees infected with sooty mold was found to have a significant negative correlation with their growth status [<xref rid="B23-plants-14-02337" ref-type="bibr">23</xref>,<xref rid="B24-plants-14-02337" ref-type="bibr">24</xref>]. The impedance of the root system of apple trees elevated conspicuously with susceptibility to disease [<xref rid="B25-plants-14-02337" ref-type="bibr">25</xref>,<xref rid="B26-plants-14-02337" ref-type="bibr">26</xref>]. The growth of disease-infected apple trees was inhibited, suppressing the electrical signals [<xref rid="B27-plants-14-02337" ref-type="bibr">27</xref>,<xref rid="B28-plants-14-02337" ref-type="bibr">28</xref>].</p></sec><sec id="sec4dot2-plants-14-02337" disp-level="2"><title>4.2. Plasmodiophora Infection Changed Intracellular Water and Nutrient Metabolism of B. rapa Leaves</title><p>The intracellular water and nutrient metabolism of plant species has been overlooked for a long time. Only 5% of intracellular water is used for physiological processes in plant species [<xref rid="B29-plants-14-02337" ref-type="bibr">29</xref>,<xref rid="B30-plants-14-02337" ref-type="bibr">30</xref>], such as photosynthesis [<xref rid="B31-plants-14-02337" ref-type="bibr">31</xref>], respiration [<xref rid="B32-plants-14-02337" ref-type="bibr">32</xref>], and nutrient uptake, and transport [<xref rid="B33-plants-14-02337" ref-type="bibr">33</xref>,<xref rid="B34-plants-14-02337" ref-type="bibr">34</xref>], but this can be explained using plant electrophysiology technology. In this experiment, we qualified the intracellular water metabolism of <italic>B. rapa</italic> (Equations (15)–(20)). The IWHC and the WRT were significantly negatively correlated with the <italic>Plasmodiophora</italic> concentration (<xref rid="plants-14-02337-t004" ref-type="table">Table 4</xref>), whereas the IWHT was markedly positively correlated. This finding indicates that <italic>B. rapa</italic> responded to <italic>Plasmodiophora</italic> infection by increasing its intracellular water-holding capacity and water translocation rate. It was reported that plants impede water loss and maintain growth by extending the intracellular water-holding time. For example, <italic>Orychophragmus violaceus</italic> (<italic>Ov</italic>) under high-cadmium-level stress suppresses growth and metabolism, reducing the loss of water and other materials by decreasing its cellular water-holding capacity and intracellular water-transfer rate, while increasing its intracellular water-holding time [<xref rid="B15-plants-14-02337" ref-type="bibr">15</xref>]. However, in karst soils, <italic>Ov</italic> adapt to adverse conditions by prolonging the intracellular water-holding time [<xref rid="B26-plants-14-02337" ref-type="bibr">26</xref>], which is consistent with the results of the present study.</p><p>Additionally, it has been considered that intracellular nutrient transport is highly dependent on water metabolism in plant species [<xref rid="B35-plants-14-02337" ref-type="bibr">35</xref>,<xref rid="B36-plants-14-02337" ref-type="bibr">36</xref>], so we also qualified the intracellular nutrient metabolism of <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> infection concentrations (Equations (21)–(25)). The <italic>Plasmodiophora</italic> concentration positively correlated with the UNF, and it was negatively correlated with NTR, NTC, UAF, and NAC of <italic>B. rapa</italic> (<xref rid="plants-14-02337-t005" ref-type="table">Table 5</xref>), suggesting that the nutrient translocation rate, translocation capacity, active flow, and active translocation capacity were reduced. This result indicated this plant species replenish nutrient losses by enhancing nutrient translocation under restricted growth [<xref rid="B37-plants-14-02337" ref-type="bibr">37</xref>,<xref rid="B38-plants-14-02337" ref-type="bibr">38</xref>]. Notably, with worsening <italic>Plasmodiophora</italic> infection, <italic>B. rapa</italic> maintained its UNF to reduce the decline in intracellular water content and nutrient metabolism, which shows its adaptive strategy to <italic>Plasmodiophora</italic> infection.</p></sec><sec id="sec4dot3-plants-14-02337" disp-level="2"><title>4.3. Dissociation of Energy Metabolism and Dielectric Substance Transfer in B. rapa During Plasmodiophora Infection</title><p>In previous studies, it has been reported that plant immunity closely relates to cell energy metabolism and the B-type dielectric substance transfer percentage [<xref rid="B39-plants-14-02337" ref-type="bibr">39</xref>], cell energy metabolism positively correlates with plant growth [<xref rid="B40-plants-14-02337" ref-type="bibr">40</xref>,<xref rid="B41-plants-14-02337" ref-type="bibr">41</xref>], while the B-type dielectric substance transfer percentage reflects the distributional characteristics of nutrient transporter proteins of plant cells [<xref rid="B42-plants-14-02337" ref-type="bibr">42</xref>,<xref rid="B43-plants-14-02337" ref-type="bibr">43</xref>]. In this study, we found dissociation between cellular metabolism energy and growth of <italic>B. rapa</italic> during worsening <italic>Plasmodiophora</italic> infection. In <xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref>a, ΔG<sub>R-E</sub>, ΔG<sub>Z-E</sub>, and ΔG exhibited the maximum values at PWB2 and the minimum values at PWB5, but the biomass and photosynthesis continuously declined with worsening <italic>Plasmodiophora</italic> infection. This result is consistent with previous research, showing that in plant species, the photosynthesis and intracellular water and nutrient transfer capacities increased during low-level infection [<xref rid="B44-plants-14-02337" ref-type="bibr">44</xref>,<xref rid="B45-plants-14-02337" ref-type="bibr">45</xref>], but reduced during high-level infection [<xref rid="B46-plants-14-02337" ref-type="bibr">46</xref>,<xref rid="B47-plants-14-02337" ref-type="bibr">47</xref>]. Additionally, we found an interesting result; ∆G was consistent with photosynthesis, but did not consistently decrease (<xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref>b). There was an increasing trend in ∆G of <italic>B. rapa</italic> at PWB2 and PWB4, suggested a transient increase in cellular energy metabolism rather than a sustained decrease during worsening <italic>Plasmodiophora</italic> infection, which revealed this plant species prevented its growth due to continuous inhibitions under environmental stress [<xref rid="B48-plants-14-02337" ref-type="bibr">48</xref>].</p><p>In this experiment, we define BPn<sub>R</sub> as the proportion of extrinsic proteins and BPn<sub>Xc</sub> as the proportion of binding proteins. We found dissociation between the B-type dielectric substance transfer percentage and growth of <italic>B. rapa</italic> during worsening <italic>Plasmodiophora</italic> infection. As depicted in <xref rid="plants-14-02337-f005" ref-type="fig">Figure 5</xref>, BPn<sub>R</sub> and BPn<sub>Xc</sub> of <italic>B. rapa</italic> exhibited opposite trends, with the BPn<sub>R</sub> values being higher than the CK, whereas the BPn<sub>Xc</sub> values were lower than the CK. Furthermore, it demonstrated that BPn<sub>R</sub> and BPn<sub>Xc</sub> of <italic>B. rapa</italic> did not exhibit linear increases or decreases. Specifically, the BPn<sub>R</sub> of PWB4 was the highest, the BPn<sub>Xc</sub> was the lowest, and the remaining groups did not show significant differences with the CK, resulting in highest extrinsic protein content and the lowest binding protein content. It has found when the pathogen infected, the higher intracellular nutrient loss of the plants enhanced passive transport, leading to an increase in extrinsic proteins, but a decrease in binding proteins on the cell membrane [<xref rid="B49-plants-14-02337" ref-type="bibr">49</xref>,<xref rid="B50-plants-14-02337" ref-type="bibr">50</xref>]. Consequently, we found PWB4 might be the highest immunological concentration of <italic>Plasmodiophora</italic> infection in <italic>B. rapa.</italic></p></sec><sec id="sec4dot4-plants-14-02337" disp-level="2"><title>4.4. Immunological Relevance of Electrophysiological Properties of B. rapa During Plasmodiophora Infection</title><p>The correlation results indicate that as <italic>Plasmodiophora</italic> infection worsened, the growth of <italic>B. rapa</italic> was inhibited, leading to a decrease in its cellular metabolic energy, as evidenced by a smaller ΔG (<xref rid="plants-14-02337-f006" ref-type="fig">Figure 6</xref>). Consequently, there were lower values for ΔG, C, the IWHC, the WRT, the NTR, and the NAC. The decreased C of <italic>B. rapa</italic> reduced the vesicle volume, which is critical for maintaining cellular structure and function. In response to these adverse conditions, <italic>B. rapa</italic> increased nutrient transfer through the UAF to sustain its material supply. Several immune mechanisms of plant species infected with <italic>Plasmodiophora</italic> have been shown. On the one hand, plants inhibit nutrient supply by decreasing their energy level. In this study, we found <italic>B. rapa</italic> cells decreased the metabolizable energy level during worsening <italic>Plasmodiophora</italic> infection (<xref rid="plants-14-02337-f004" ref-type="fig">Figure 4</xref>), supporting this result. On the other hand, plants could strengthen the cell wall, such as increasing lignin and cork deposition to enhance immunity [<xref rid="B51-plants-14-02337" ref-type="bibr">51</xref>,<xref rid="B52-plants-14-02337" ref-type="bibr">52</xref>]. We found that the BPn<sub>R</sub> of <italic>B. rapa</italic> cells increased during worsening <italic>Plasmodiophora</italic> infection, indicating the promotion of extra-membrane transporter proteins, which contributes to the resistance against <italic>Plasmodiophora</italic> infection [<xref rid="B53-plants-14-02337" ref-type="bibr">53</xref>,<xref rid="B54-plants-14-02337" ref-type="bibr">54</xref>]. Meanwhile, the reduced BPnXc indicated the lower quantity of surface proteins in <italic>B. rapa</italic> cells, leading to decreased intracellular water metabolism during <italic>Plasmodiophor</italic> infection (<xref rid="plants-14-02337-f007" ref-type="fig">Figure 7</xref>). Hence, <italic>B. rapa</italic> could endure the <italic>Plasmodiophora</italic> infection by maintaining the total nutrient metabolism and minimizing active nutrient transfer and water metabolic activities to conserve energy and resist the infection.</p><fig id="plants-14-02337-f007" position="float"><?disp-level 3?><label>Figure 7</label><caption><p>Plant electrophysiological parameters of nutrient immunoregulation in <italic>B. rapa</italic> at different <italic>Plasmodiophora</italic> infection levels. In <xref rid="plants-14-02337-f007" ref-type="fig">Figure 7</xref>, BPn<sub>R</sub> denotes B-type dielectric material transfer capacity of <sub>R</sub>, BPn<sub>Xc</sub> denotes B-type dielectric material transfer capacity of X<sub>C</sub>, IWHC denotes intracellular water-holding capacity, IWHT denotes intracellular water-holding time, G<sub>cell</sub> denotes unit for cell metabolizable energy, ΔG<sub>cell</sub> denotes change in unit for cell metabolizable energy, and Pn denotes the photosynthetic rate.</p></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="image" xlink:href="plants-14-02337-g007.jpg"><?cloudpmc-path blobs/39f5/12349594/f179318a7351/plants-14-02337-g007.jpg?><?cloudpmc-bucket cdn?><?image-server-status LOAD_COMPLETED?><?original-height 1599?><?original-width 2618?><?scaled-height 457?><?scaled-width 748?></graphic><graphic xmlns:xlink="http://www.w3.org/1999/xlink" content-type="thumb" xlink:href="plants-14-02337-g007.gif"><?cloudpmc-path blobs/39f5/12349594/53e7520097cb/plants-14-02337-g007.gif?><?cloudpmc-bucket cdn?></graphic></alternatives></fig></sec></sec><sec id="sec5-plants-14-02337" disp-level="1"><title>5. Conclusions</title><p>The results obtained from this study have confirmed that plant electrophysiological techniques can effectively be used to analyze <italic>B. rapa</italic> infected by <italic>Plasmodiophora</italic> (<xref rid="plants-14-02337-f007" ref-type="fig">Figure 7</xref>). It has been revealed that the plant electrophysiological approach is well aligned with the growth changes in <italic>B. rapa</italic> during infection by <italic>Plasmodiophora</italic>. The degree of <italic>Plasmodiophora</italic> infection increased inversely with growth of <italic>B. rapa</italic>, physiological capacitance, intracellular water metabolism, nutrient transfer capacity, and the total cellular metabolic energy, while it positively correlated with electrical resistance and nutrient transfer capacity. Unlike photosynthesis and overall growth, the unit for cell metabolic energy exhibited a nonlinear change, initially increasing, and then decreasing. Specifically, the BPn<sub>R</sub> of <italic>B. rapa</italic> increased at low infection levels. However, at high infection levels, the distribution of B-type dielectric material transfer coefficients balanced to sustain its growth. Typically, based on distribution of the B-type dielectric substance transfer percentages, we found PWB4 was the maximal immune concentration, as evidenced by the maximal BPn<sub>R</sub>, with an increasing quantity of extrinsic proteins in the cell membrane, and the minimum BPn<sub>Xc</sub>, with a decreasing quantity of intracellular binding proteins in the <italic>B. rapa</italic> leaves. These findings underscore the potential of plant electrical signals as indicators of <italic>Plasmodiophora</italic> infection, offering a novel, rapid, non-destructive detection method for agricultural disease management.</p></sec><sec id="ack1" sec-type="ack" disp-level="1"><title>Acknowledgments</title><p>The authors thank Hubei Key Laboratory of Selenium Resource Research and Biological Application of Hubei Minzu University (Enshi, China), the Key Laboratory of Environmental Geochemistry, Institute of Geochemistry, Chinese Academy of Sciences (Guiyang, China) and the Academy of Agricultural Sciences of Enshi Tujia and Miao Autonomous Prefecture, (Research Institute of Selenium Applied Technology and Product Development, Enshi, China) for providing the experimental platforms.</p></sec><sec id="app1-plants-14-02337" sec-type="app" disp-level="1"><title>Supplementary Materials</title><p>The following supporting information can be downloaded at: <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.mdpi.com/article/10.3390/plants14152337/s1" ext-link-type="uri">https://www.mdpi.com/article/10.3390/plants14152337/s1</ext-link>, Figure S1: Preparation of conidial suspension; Figure S2: Analysis of plant electrophysiological information; Figure S3: Growth of <italic>Plasmodiophora</italic>-infested <italic>B. rapa</italic> at different concentration.</p><supplementary-material id="plants-14-02337-s001" position="float"><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="plants-14-02337-s001.zip" mimetype="application" mime-subtype="zip"><?cloudpmc-path 39f5/12349594/41649496bfd4/plants-14-02337-s001.zip?><?cloudpmc-bucket app?><?size 714556?></media></supplementary-material></sec><sec id="notes1" disp-level="1"><title>Author Contributions</title><p>Methodology, A.X. and L.L.; Software, A.X. and L.L.; Formal analysis, A.X. and Z.Q.; Investigation, A.X., Y.W. and K.Z.; Data curation, A.X., L.L. and Z.Q.; Writing—original draft, A.X.; Writing—review &amp; editing, A.X., Y.W., K.Z., D.X. and G.T.; Supervision, Y.W., K.Z. and D.X.; Funding acquisition, A.X. All authors have read and agreed to the published version of the manuscript.</p></sec><sec id="notes2" disp-level="1"><title>Data Availability Statement</title><p>The original contributions presented in this study are included in the article/<xref rid="app1-plants-14-02337" ref-type="sec">Supplementary Material</xref>. Further inquiries can be directed to the corresponding authors.</p></sec><sec id="notes3" disp-level="1"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest.</p></sec><sec id="funding-statement1" xml:lang="en" disp-level="1"><title>Funding Statement</title><p>This work was supported by the Key Research and Development Project of Hubei Province (number 2022BBA0059), the Enshi Science and Technology Program Guidance Project (E20230012), Hubei Provincial Science and Technology Planning Project (2024BBB082); Enshi Prefecture Science and Technology Innovation Project (D20230013); Hubei Provincial Key Laboratory Open Fund for Selenium Resource Research and Biological Application (PT10202303, PT10202308, PT10202404) (in Chin.).</p></sec><sec id="fn-group1" sec-type="fn-group" disp-level="1"><title>Footnotes</title><fn-group><fn id="fn1"><p><bold>Disclaimer/Publisher’s Note:</bold> The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). 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Further inquiries can be directed to the corresponding authors.</p></sec></sec></body></article>