Segun2018 - model of breast cancer determing Chemotherapy and Keto diet response

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Model Identifier
MODEL2003050001
Short description
<notes xmlns="http://www.sbml.org/sbml/level2/version4"> <body xmlns="http://www.w3.org/1999/xhtml"> <p>optimal control theory is applied to find out the optimal drug adjustment as an input control of the system therapies to minimize the number of cancerous cells by considering different controlled combinations of administering the chemotherapy agent and ketogenic diet using the popular Pontryagin’s Maximum Principle. Numerical simulations were presented to validate our theoretical results. Model is encoded by Jinghoa Men and submitted to BioModels by Krishna</p> </body> </notes>
Format
SBML (L2V4)
Related Publication
  • Optimal Control Analysis of a Mathematical Model for Breast Cancer
  • Segun Isaac Oke, Maba Boniface Matadi, Sibusisso Southwell Xulu
  • Mathematical and Computational Applications , 4/ 2018 , Volume 23 , Issue 21 , DOI: 10.20944/preprints201802.0004.v1
  • Department of Mathematical Sciences, University of Zululand, South Africa
  • In this paper, a mathematical model of breast cancer governed by a system of ordinary differential equations in the presence of chemotherapy treatment and ketogenic diet is discussed. Several comprehensive mathematical analyses were carried out using a variety of analytical methods to study the stability of the breast cancer model. Also, sufficient conditions on parameter values to ensure cancer persistence in the absence of anti-cancer drugs, ketogenic diet, and cancer emission when anti-cancer drugs, immune-booster, and ketogenic diet are included were established. Furthermore, optimal control theory is applied to discover the optimal drug adjustment as an input control of the system therapies in order to minimize the number of cancerous cells by considering different controlled combinations of administering the chemotherapy agent and ketogenic diet using the popular Pontryagin’s maximum principle. Numerical simulations are presented to validate our theoretical results
Contributors
Submitter of the first revision: Krishna Kumar Tiwari
Submitter of this revision: Krishna Kumar Tiwari
Modellers: Krishna Kumar Tiwari

Metadata information

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

isDescribedBy (1 statement)
Curation status
Non-curated
Modelling approach(es)
ordinary differential equation model
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Model files
Segun2018.xml SBML L2V4 model file 59.49 KB Preview | Download

Additional files
Segun2018.cps COPASI 4.27 (Build417) file 99.21 KB Preview | Download
Segun2018.sedml SEDML file 1.09 KB Preview | Download

  • Model originally submitted by : Krishna Kumar Tiwari
  • Submitted: Mar 5, 2020 11:51:47 AM
  • Last Modified: Mar 5, 2020 12:06:58 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Mar 5, 2020 12:06:58 PM
    • Submitted by: Krishna Kumar Tiwari
    • With comment: Edited model metadata online.
  • Version: 2 public model Download this version
    • Submitted on: Mar 5, 2020 11:51:47 AM
    • Submitted by: Krishna Kumar Tiwari
    • With comment: Edited model metadata online.

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