Chakrabarty2010 - A control theory approach to cancer remission aided by an optimal therapy

  public model
Model Identifier
BIOMD0000000777
Short description 
This is a reinvestigation of a previous model depicting cancer remission. It involves application of mathematical tools from control theory to assess the optimal approach during the use of Adaptive Cellular Immunotherapy and interleukin-2 treatment.
Format
SBML (L2V4)
Related Publication
  • A CONTROL THEORY APPROACH TO CANCER REMISSION AIDED BY AN OPTIMAL THERAPY
  • SIDDHARTHA P. CHAKRABARTY, SANDIP BANERJEE
  • Journal of Biological Systems , 7/ 2010 , Volume 18 , Issue 1 , pages: 75-91 , DOI: 10.1142/S0218339010003226
  • Indian Institute of Technology Guwahati
  • The mathematical model depicting cancer remission as presented by Banerjee and Sarkar1 is reinvestigated here. Mathematical tools from control theory have been used to analyze and determine how an optimal external treatment of Adaptive Cellular Immunotherapy and interleukin-2 can result in more effective remission of malignant tumors while minimizing any adverse affect on the immune response.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Tung Nguyen
Modellers: Tung Nguyen, Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000777
BioModels Database MODEL1908040001

isDerivedFrom (1 statement)
PubMed 18083299

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Remission

isDescribedBy (1 statement)
Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags
Immuno-oncology

Connected external resources

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Model files
Chakrabarty2010.xml SBML L2V4 Representation of Chakrabarty2010 - A control theory approach to cancer remission aided by an optimal therapy 33.99 KB Preview | Download

Additional files
Chakrabarty2010.cps COPASI file of Chakrabarty2010 - A control theory approach to cancer remission aided by an optimal therapy 62.61 KB Preview | Download
Chakrabarty2010.sedml SED-ML file of Chakrabarty2010 - A control theory approach to cancer remission aided by an optimal therapy 2.83 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Aug 4, 2019 3:06:13 PM
  • Last Modified: Oct 1, 2021 11:54:28 AM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Oct 1, 2021 11:54:28 AM
    • Submitted by: Tung Nguyen
    • With comment: Automatically added model identifier BIOMD0000000777
  • Version: 2 public model Download this version
    • Submitted on: Aug 4, 2019 3:06:13 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000777

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
Z THL

helper T cell 		7200000.0 item
N CTL

cytotoxic T cell 		200000.0 item
M Tumor Cells

Neoplastic Cell 		2750000.0 item
Reactions
Reactions Rate Parameters
Z_THL => ; N_CTL compartment*mu_2*N_CTL*Z_THL mu_2 = 0.0
N_CTL => compartment*d_1*N_CTL d_1 = 0.0412
M_Tumor_Cells => compartment*mu_1*M_Tumor_Cells mu_1 = 0.05
=> N_CTL; N_CTL, Z_THL compartment*mu_2*N_CTL*Z_THL mu_2 = 0.0
M_Tumor_Cells => ; M_Tumor_Cells, N_CTL compartment*alpha_1*M_Tumor_Cells*N_CTL alpha_1 = 1.101E-7
N_CTL => ; M_Tumor_Cells compartment*alpha_2*M_Tumor_Cells*N_CTL alpha_2 = 3.422E-10
=> M_Tumor_Cells; M_Tumor_Cells compartment*r_1*M_Tumor_Cells*(1-M_Tumor_Cells/k_1) k_1 = 5000000.0; r_1 = 0.18
=> Z_THL; Z_THL compartment*r_2*Z_THL*(1-Z_THL/k_2) r_2 = 0.0245; k_2 = 1.0E7
Curator's comment:
(added: 04 Aug 2019, 15:05:57, updated: 04 Aug 2019, 15:05:57)
Reproduced plot of Figure 1 of the original publication. Model simulated and plot produced with COPASI 4.24 (Build 197).