Lolas2016 - tumour-induced neoneurogenesis and perineural tumour growth

  public model
Model Identifier
BIOMD0000000750
Short description
The paper describes a model of tumour-induced neoneurogenesis and perineural tumour growth. Created by COPASI 4.25 (Build 207) This model is described in the article: Tumour-induced neoneurogenesis and perineural tumour growth: a mathematical approach Georgios Lolas, Arianna Bianchi and Konstantinos N. Syrigos Scientific Reports 6:20684 Abstract: It is well-known that tumours induce the formation of a lymphatic and a blood vasculature around themselves. A similar but far less studied process occurs in relation to the nervous system and is referred to as neoneurogenesis. The relationship between tumour progression and the nervous system is still poorly understood and is likely to involve a multitude of factors. It is therefore relevant to study tumour-nerve interactions through mathematical modelling: this may reveal the most significant factors of the plethora of interacting elements regulating neoneurogenesis. The present work is a first attempt to model the neurobiological aspect of cancer development through a system of differential equations. The model confirms the experimental observations that a tumour is able to promote nerve formation/elongation around itself, and that high levels of nerve growth factor and axon guidance molecules are recorded in the presence of a tumour. Our results also reflect the observation that high stress levels (represented by higher norepinephrine release by sympathetic nerves) contribute to tumour development and spread, indicating a mutually beneficial relationship between tumour cells and neurons. The model predictions suggest novel therapeutic strategies, aimed at blocking the stress effects on tumour growth and dissemination. To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.
Format
SBML (L3V1)
Related Publication
  • Tumour-induced neoneurogenesis and perineural tumour growth: a mathematical approach.
  • Lolas G, Bianchi A, Syrigos KN
  • Scientific reports , 2/ 2016 , Volume 6 , pages: 20684 , PubMed ID: 26861829
  • Center for Information Services and High Performance Computing, Q1 Technische Universit├Ąt Dresden, 01062 Dresden, Germany.
  • It is well-known that tumours induce the formation of a lymphatic and a blood vasculature around themselves. A similar but far less studied process occurs in relation to the nervous system and is referred to as neoneurogenesis. The relationship between tumour progression and the nervous system is still poorly understood and is likely to involve a multitude of factors. It is therefore relevant to study tumour-nerve interactions through mathematical modelling: this may reveal the most significant factors of the plethora of interacting elements regulating neoneurogenesis. The present work is a first attempt to model the neurobiological aspect of cancer development through a system of differential equations. The model confirms the experimental observations that a tumour is able to promote nerve formation/elongation around itself, and that high levels of nerve growth factor and axon guidance molecules are recorded in the presence of a tumour. Our results also reflect the observation that high stress levels (represented by higher norepinephrine release by sympathetic nerves) contribute to tumour development and spread, indicating a mutually beneficial relationship between tumour cells and neurons. The model predictions suggest novel therapeutic strategies, aimed at blocking the stress effects on tumour growth and dissemination.
Contributors
Submitter of the first revision: Jinghao Men
Submitter of this revision: Jinghao Men
Modellers: Jinghao Men

Metadata information

is (2 statements)
BioModels Database MODEL1907160001
BioModels Database BIOMD0000000750

isDescribedBy (1 statement)
PubMed 26861829

hasTaxon (1 statement)
Taxonomy Homo sapiens

isVersionOf (3 statements)
hasProperty (1 statement)
Mathematical Modelling Ontology Ordinary differential equation model


Curation status
Curated


Tags

Connected external resources

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Name Description Size Actions

Model files

Lolas2016.xml SBML L3V1 representation of the tumour-neuroneogenesis model 153.97 KB Preview | Download

Additional files

Lolas2016.cps CPS file of the model in COPASI 167.16 KB Preview | Download
Lolas2016.sedml auto-generated SEDML file 5.05 KB Preview | Download

  • Model originally submitted by : Jinghao Men
  • Submitted: Jul 16, 2019 12:25:31 PM
  • Last Modified: Jul 16, 2019 12:25:31 PM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Jul 16, 2019 12:25:31 PM
    • Submitted by: Jinghao Men
    • With comment: Automatically added model identifier BIOMD0000000750
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
Nn

noradrenaline
0.5 mmol
Tm

neoplastic cell
0.0 mmol
P

parasympathetic neuron
0.03 mmol
Na

acetylcholine
80.0 mmol
S

sympathetic neuron
0.26 mmol
G

Growth Factor
0.0 mmol
A

axon guidance
0.0 mmol
Reactions
Reactions Rate Parameters
Nn => tumor_microenvironment*dn*Nn dn = 1.66 1/d
=> Tm tumor_microenvironment*rtm*Tm rtm = 1.0E-4 1/d
=> P tumor_microenvironment*rp*(1-P/kp)*P kp = 0.03 1/mm^3; rp = 7.0 1/d
Nn => ; Tp tumor_microenvironment*y5*Tp*Nn y5 = 0.002 mm^3/d
Na => ; Tp tumor_microenvironment*y6*Tp*Na y6 = 0.001 mm^3/d
=> S; A tumor_microenvironment*A*S/(sigma3+sigma4*A) sigma4 = 0.01 d; sigma3 = 7.79 d/mm^3
G => tumor_microenvironment*dg*G dg = 22.18 1/d
G => ; Tp, S, P tumor_microenvironment*(y1*Tp+y2*(S+P))*G y1 = 5.57E-5 mm^3/d; y2 = 0.05 mm^3/d
Tp => Tm; A, Na tumor_microenvironment*(u0+u1*A+u2*Na)*Tp u0 = 0.22 1/d; u1 = 9.8E-6 mm^3/d; u2 = 0.002 mm^3/d
A => tumor_microenvironment*dA*A dA = 2.4 1/d
Curator's comment:
(added: 16 Jul 2019, 12:24:45, updated: 16 Jul 2019, 12:24:45)
Publication figure 2A reproduced as per literature. Other parts of figure 2 are also reproduced. Other figures are reproduced with different sets of parameters. Figure data is generated using COPASI 4.25 (build 197).