Chakrabarty2010  A control theory approach to cancer remission aided by an optimal therapy
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 interleukin2 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: 7591 , 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 interleukin2 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
Submitter of this revision: Tung Nguyen
Modellers: Tung Nguyen, Johannes Meyer
Metadata information
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Curation status
Curated
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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  SEDML 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
 Submitted on: Oct 1, 2021 11:54:28 AM
 Submitted by: Tung Nguyen
 With comment: Automatically added model identifier BIOMD0000000777

Version: 2
 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 of this model will only be shown to the submitter and their collaborators.
Legends
: Variable used inside SBML models
: 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 = 1.101E7 
N_CTL => ; M_Tumor_Cells  compartment*alpha_2*M_Tumor_Cells*N_CTL  alpha_2 = 3.422E10 
=> M_Tumor_Cells; M_Tumor_Cells  compartment*r_1*M_Tumor_Cells*(1M_Tumor_Cells/k_1)  k_1 = 5000000.0; r_1 = 0.18 
=> Z_THL; Z_THL  compartment*r_2*Z_THL*(1Z_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)
(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).