Dubey2008 - Modeling the interaction between avascular cancerous cells and acquired immune response

  public model
Model Identifier
BIOMD0000000886
Short description 
MODELING THE INTERACTION BETWEEN AVASCULAR CANCEROUS CELLS AND ACQUIRED IMMUNE RESPONSE

B. DUBEY, UMA S. DUBEY and SANDIP BANERJEE

Abstract

This paper deals with the interaction between dispersed cancer cells and the major populations of the immune system, namely, the T helper cells, T Cytotoxic cells, B cells, and antibodies produced. The system is described by a set of five ordinary differential equations. Both local and global stability of the system has been investigated. It has been observed that under appropriate conditions this interaction is capable of controlling the growth of these cancer cells. The analytical findings are supported by numerical and computational analytical methods.
Format
SBML (L2V4)
Related Publication
  • Modeling the interaction between avascular cancerous cells and acquired immune response
  • B. DUBEY, UMA S. DUBEY, SANDIP BANERJEE
  • Journal of Biological Systems , 9/ 2008 , Volume 16 , Issue 3 , pages: 337-356 , DOI: 10.1142/S0218339008002605
  • Mathematics Group and † Biological Science Group Birla Institute of Technology and Science (BITS) Pilani 333 031, India
  • This paper deals with the interaction between dispersed cancer cells and the major populations of the immune system, namely, the T helper cells, T Cytotoxic cells, B cells, and antibodies produced. The system is described by a set of five ordinary differential equations. Both local and global stability of the system has been investigated. It has been observed that under appropriate conditions this interaction is capable of controlling the growth of these cancer cells. The analytical findings are supported by numerical and computational analytical methods.
Contributors
Submitter of the first revision: Mohammad Umer Sharif Shohan
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Mohammad Umer Sharif Shohan

Metadata information

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Gene Ontology immune response

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

Connected external resources

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Name Description Size Actions

Model files
Dubey2008.xml SBML L2V4 Representation of Dubey2018 - Modeling the interaction between avascular cancerous cells and acquired immune response 48.86 KB Preview | Download

Additional files
Dubey2008.cps COPASI version 4.24 (Build 197) Representation of Dubey2018 - Modeling the interaction between avascular cancerous cells and acquired immune response 75.64 KB Preview | Download
Dubey2008.sedml SEDML L1V2 Representation of Dubey2018 - Modeling the interaction between avascular cancerous cells and acquired immune response 3.64 KB Preview | Download

  • Model originally submitted by : Mohammad Umer Sharif Shohan
  • Submitted: Dec 10, 2019 3:05:10 PM
  • Last Modified: Dec 10, 2019 3:05:10 PM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Dec 10, 2019 3:05:10 PM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000886
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
T

C12476 		9.0 mmol
B

C12474 		1.0 mmol
Tc 1.0 mmol
A

Antibody 		1.0 mmol
Th

helper T-lymphocyte 		7.0 mmol
Reactions
Reactions Rate Parameters
=> T compartment*alpha*T alpha = 0.18
B => compartment*mu_30*B mu_30 = 0.03
Tc => compartment*mu_20*Tc mu_20 = 0.0412
=> A; B compartment*mu_4*B mu_4 = 0.35
=> Tc; T, Th compartment*(mu_2*T+beta_1*T*Tc+beta_2*Th*Tc) mu_2 = 1.4; beta_1 = 0.3; beta_2 = 0.05
T => ; Tc, A compartment*(alpha_0*T*T+alpha_1*T*Tc+delta_2*T*A) alpha_0 = 4.6; alpha_1 = 0.101; delta_2 = 0.008
Th => compartment*mu_10*Th mu_10 = 0.2
=> Th; T compartment*(mu_1*T+mu_11*T*Th) mu_1 = 1.5; mu_11 = 0.3
=> B; T, Th compartment*(mu_3*T+gamma_1*T*B+gamma_2*Th*B) gamma_2 = 0.3; mu_3 = 0.45; gamma_1 = 0.4
A => ; T compartment*(mu_40*A+delta_1*T*A) mu_40 = 0.3; delta_1 = 0.5
Curator's comment:
(added: 10 Dec 2019, 15:04:58, updated: 10 Dec 2019, 15:04:58)
The model has been encoded in COPASI 4.24 (Build 197) and the Figure 4 from the publication has been reproduced using ggplot package in R. For the generation of figure mu11 values were changed to 0.3, 0.09 and 0.01 and three different simulations were run for 30 seconds and with that data combining together in single figure the figure on the curation was generated