He2017 - A mathematical model of pancreatic cancer with two kinds of treatments

  public model
Model Identifier
BIOMD0000000811
Short description 
This is a mathematical model of pancreatic cancer which includes descriptions of regulatory T cell activity and inhibition therapy. Descriptions of cytokine induced killer immunotherapy are also included.
Format
SBML (L2V4)
Related Publication
  • A mathematical model of pancreatic cancer with two kinds of treatments
  • He, D.-H., Xu, J.-X.
  • Journal of Biological Systems , 3/ 2017 , Volume 25 , Issue 1 , pages: 83-104 , DOI: 10.1142/S021833901750005X
  • Department of Mathematics, Zhejiang International Studies University, HangZhou, 310012, China
  • In this paper, we investigate a mathematical model of pancreatic cancer, which extends the existing pancreatic cancer models with regulatory T cells (Tregs) and Treg inhibitory therapy. The model consists of tumor-immune interaction and immune suppression from Tregs. In the absence of treatments, we first characterize the system dynamics by locating equilibrium points and determining stability properties. Next, cytokine induced killer (CIK) immunotherapy is incorporated. Numerical simulations of prognostic results illustrate that the median overall survival associated with treatment can be prolonged approximately from 7 to 13 months, which is consistent with the clinical data. Furthermore, we consider cyclophosphamide (CTX) therapy as well as the combined therapy with CIK and CTX. Intensive simulation results suggest that both CTX therapy and the combined CIK/CTX therapy can reduce the number of Tregs and increase the overall survival (OS), but Tregs and tumor cells will gradually rise to equilibrium state as long as therapies are ceased.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Rahuman Sheriff
Modellers: Rahuman Sheriff, Johannes Meyer

Metadata information

is (2 statements)
BioModels Database MODEL1909120001
BioModels Database BIOMD0000000811

isDerivedFrom (1 statement)
PubMed 8186756

hasProperty (4 statements)
isDescribedBy (1 statement)
Curation status
Curated
Tags
Immuno-oncology

Connected external resources

Name Description Size Actions

Model files
He2017.xml SBML L2V4 Representation of He2017 - A mathematical model of pancreatic cancer with two kinds of treatments 113.04 KB Preview | Download

Additional files
He2017.cps COPASI file of He2017 - A mathematical model of pancreatic cancer with two kinds of treatments 180.06 KB Preview | Download
He2017.sedml SED-ML file of He2017 - A mathematical model of pancreatic cancer with two kinds of treatments 4.46 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Sep 12, 2019 11:49:27 AM
  • Last Modified: Oct 5, 2021 1:31:18 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Oct 5, 2021 1:31:18 PM
    • Submitted by: Rahuman Sheriff
    • With comment: Automatically added model identifier BIOMD0000000811
  • Version: 2 public model Download this version
    • Submitted on: Sep 12, 2019 11:49:27 AM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000811

(*) 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
N Killer

natural killer cell 		4.816E8 item
H T Helper

helper T-lymphocyte 		2.1168E9 item
R T Regulatory

regulatory T-lymphocyte 		1.5876E8 item
E CD8

CD8-Positive T-Lymphocyte 		8.736E8 item
P PSC

pancreatic stellate cell 		5600000.0 item
Reactions
Reactions Rate Parameters
=> N_Killer; H_T_Helper compartment*p_n*H_T_Helper*N_Killer/(g_n*tau_1_alpha_1+H_T_Helper) g_n = 0.3; tau_1_alpha_1 = 2.2483E11; p_n = 0.125
=> H_T_Helper compartment*a_h a_h = 360000.0
R_T_Regulatory => compartment*delta_r*R_T_Regulatory delta_r = 0.023
=> E_CD8; N_Killer, C_PCC compartment*r_e*N_Killer*C_PCC r_e = 5.0E-12
=> E_CD8; H_T_Helper compartment*p_e*H_T_Helper*E_CD8/(g_e*tau_1_alpha_1+H_T_Helper) tau_1_alpha_1 = 2.2483E11; p_e = 0.125; g_e = 0.3
E_CD8 => compartment*b_e*E_CD8 b_e = 0.02
=> N_Killer compartment*a_n a_n = 130000.0
=> R_T_Regulatory; H_T_Helper compartment*b_r*H_T_Helper b_r = 4.0E-4
P_PSC => compartment*lambda_p*P_PSC lambda_p = 0.015
H_T_Helper => ; R_T_Regulatory compartment*delta_h*R_T_Regulatory*H_T_Helper delta_h = 1.0E-10
Curator's comment:
(added: 12 Sep 2019, 11:49:17, updated: 12 Sep 2019, 11:49:17)
Reproduced plot of Figure 1 in the original publication. Initial conditions are as indicated in the figure caption. Model simulated and plot produced using COPASI 4.24 (Build 197).