Caravagna2010 - Tumour suppression by immune system

  public model
Model Identifier
BIOMD0000000912
Short description 
Tumour suppression by immune system through stochastic oscillations
GiulioCaravagnaa 
Albertod’Onofriob 
PaoloMilazzoa
RobertoBarbutia
https://doi.org/10.1016/j.jtbi.2010.05.013

Abstract

The well-known Kirschner–Panetta model for tumour–immune System interplay [Kirschner, D., Panetta, J.C., 1998. Modelling immunotherapy of the tumour–immune interaction. J. Math. Biol. 37 (3), 235–252] reproduces a number of features of this essential interaction, but it excludes the possibility of tumour suppression by the immune system in the absence of therapy. Here we present a hybrid–stochastic version of that model. In this new framework, we show that in reality the model is also able to reproduce the suppression, through stochastic extinction after the first spike of an oscillation.
Format
SBML (L2V4)
Related Publication
  • Tumour suppression by immune system through stochastic oscillations.
  • Caravagna G, d'Onofrio A, Milazzo P, Barbuti R
  • Journal of theoretical biology , 8/ 2010 , Volume 265 , Issue 3 , pages: 336-345 , PubMed ID: 20580640
  • Dipartimento di Informatica, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy. caravagn@di.unipi.it
  • The well-known Kirschner-Panetta model for tumour-immune System interplay [Kirschner, D., Panetta, J.C., 1998. Modelling immunotherapy of the tumour-immune interaction. J. Math. Biol. 37 (3), 235-252] reproduces a number of features of this essential interaction, but it excludes the possibility of tumour suppression by the immune system in the absence of therapy. Here we present a hybrid-stochastic version of that model. In this new framework, we show that in reality the model is also able to reproduce the suppression, through stochastic extinction after the first spike of an oscillation.
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

isDescribedBy (2 statements)
BioModels Database BIOMD0000000732
PubMed 20580640

is (2 statements)
BioModels Database BIOMD0000000912
BioModels Database MODEL2001200001

hasTaxon (1 statement)
Taxonomy Homo sapiens

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

isDerivedFrom (3 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Taxonomy Homo sapiens
BioModels Database BIOMD0000000732

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
Caravagna2010.xml SBML L2V4 Caravagna2010 - Tumour suppression by immune system 33.28 KB Preview | Download

Additional files
Caravagna2010.cps COPASI version 4.24 (Build 197) Caravagna2010 - Tumour suppression by immune system 62.30 KB Preview | Download
Caravagna2010.sedml SEDML L1V2 Caravagna2010 - Tumour suppression by immune system 2.65 KB Preview | Download

  • Model originally submitted by : Mohammad Umer Sharif Shohan
  • Submitted: Jan 20, 2020 10:48:07 AM
  • Last Modified: Jan 20, 2020 10:48:07 AM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Jan 20, 2020 10:48:07 AM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000912
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
E

Immune Cell 		1.0 mmol
I

Interleukin-2 		1.0 mmol
T

neoplasm 		1.0 mmol
Reactions
Reactions Rate Parameters
E => compartment*mu2*E mu2 = 0.03
=> I; T, E compartment*(p2/V*T*E/(g3*V+T)+s2) g3 = 1000.0; p2 = 5.0; V = 3.2; s2 = 0.0
=> T compartment*r2*T*(1-b/V*T) r2 = 0.18; V = 3.2; b = 1.0E-9
T => ; E compartment*a*T/(g2*V+T)*E a = 1.0; V = 3.2; g2 = 100000.0
=> E; I, T compartment*(p1*I/(g1*I)*E+c*T+V*s1) p1 = 0.1245; s1 = 0.0; g1 = 2.0E7; V = 3.2; c = 0.02
I => compartment*mu3*I mu3 = 10.0
Curator's comment:
(added: 20 Jan 2020, 10:47:59, updated: 20 Jan 2020, 10:47:59)
The model has been encoded in COPASI 4.24 (Build 197) and the figure 1 lower panel has been reproduced using COPASI The value for c was used to be 0.02 which produces the exact figure