Dritschel2018 - A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment

  public model
Model Identifier
BIOMD0000000763
Short description 
This model examines the role of helper and cytotoxic T cells in an anti-tumour response, with implicit inclusions of immunosuppressive effects. The model demonstrates the dependence of immunoediting on infilftration by helper and cytotoxic T cells, as well as the importance of these cells in mediating tumour elimination.
Format
SBML (L2V4)
Related Publication
  • A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment
  • Heidi Dritschel, Sarah L. Waters, Helen M. Byrne, Andreas Roller
  • Letters in Bioinformatics , 6/ 2019 , DOI: 10.1080/23737867.2018.1465863
  • Mathematical Institute, University of Oxford, Oxford, UK
  • We develop a mathematical model to examine the role of helper and cytotoxic T cells in an anti-tumour immune response. The model comprises three ordinary differential equations describing the dynamics of the tumour cells, the helper and the cytotoxic T cells, and implicitly accounts for immunosuppressive effects. The aim is to investigate how the anti-tumour immune response varies with the level of infiltrating helper and cytotoxic T cells. Through a combination of analytical studies and numerical simulations, our model exemplifies the three Es of immunoediting: elimination, equilibrium and escape. Specifically, it reveals that the three Es of immunoediting depend highly on the infiltration rates of the helper and cytotoxic T cells. The model’s results indicate that both the helper and cytotoxic T cells play a key role in tumour elimination. They also show that combination therapies that boost the immune system and block tumour-induced immunosuppression may have a synergistic effect in reducing tumour growth.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000763
BioModels Database MODEL1907230003

isDerivedFrom (1 statement)
PubMed 8186756

isVersionOf (2 statements)
isDescribedBy (1 statement)
Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags
Immuno-oncology

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files
Dritschel2018.xml SBML L2V4 Model of Dritschel2018 - A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment 39.77 KB Preview | Download

Additional files
Dritschel2018 Anno v1.cps COPASI file of Dritschel2018 - A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment 58.13 KB Preview | Download
Dritschel2018.sedml SED-ML file of Dritschel2018 - A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment 1.73 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Jul 26, 2019 9:25:53 AM
  • Last Modified: Dec 18, 2019 12:10:19 PM
Revisions
  • Version: 10 public model Download this version
    • Submitted on: Dec 18, 2019 12:10:19 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000763
  • Version: 6 public model Download this version
    • Submitted on: Jul 26, 2019 9:25:53 AM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000763

(*) 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
T H

helper T cell 		0.6 mmol
T C

cytotoxic T cell 		4.5 mmol
N Tumour

Neoplastic Cell 		0.01 mmol
Reactions
Reactions Rate Parameters
T_H => compartment*delta_H*T_H delta_H = 1.0
=> T_C; T_C, T_H compartment*T_C*T_H []
=> T_C compartment*sigma_C sigma_C = 2.0
T_C => ; N_Tumour compartment*(1-p)*k*T_C*N_Tumour p = 0.5; k = 4.15
=> N_Tumour; N_Tumour compartment*gamma*(1-N_Tumour)*N_Tumour gamma = 10.0
T_C => compartment*T_C []
N_Tumour => ; T_C compartment*p*k*T_C*N_Tumour p = 0.5; k = 4.15
=> T_H compartment*sigma_H sigma_H = 0.5
=> T_H; T_H, N_Tumour compartment*alpha*N_Tumour*T_H/(Ntilde^2+N_Tumour^2) Ntilde = 0.04; alpha = 0.19
Curator's comment:
(added: 23 Jul 2019, 14:32:14, updated: 23 Jul 2019, 14:32:14)
Reproduced plot of Figure 2A in the original publication. Model solved and plot produced using COPASI 4.24 (Build 197).