Moore2004 - Chronic Myeloid Leukemic cells and T-lymphocyte interaction

  public model
Model Identifier
BIOMD0000000662
Short description
Moore2004 - Chronic Myeloid Leukemic cells and T-lymphocytes interaction
A mathematical model for the interaction of between cancer cells and immune system, involving CML cancer cells, naive and effector T-lymphocytes.

This model is described in the article:

Moore H, Li NK.
J. Theor. Biol. 2004 Apr; 227(4): 513-523

Abstract:

In this paper, we propose and analyse a mathematical model for chronic myelogenous leukemia (CML), a cancer of the blood. We model the interaction between naive T cells, effector T cells, and CML cancer cells in the body, using a system of ordinary differential equations which gives rates of change of the three cell populations. One of the difficulties in modeling CML is the scarcity of experimental data which can be used to estimate parameters values. To compensate for the resulting uncertainties, we use Latin hypercube sampling (LHS) on large ranges of possible parameter values in our analysis. A major goal of this work is the determination of parameters which play a critical role in remission or clearance of the cancer in the model. Our analysis examines 12 parameters, and identifies two of these, the growth and death rates of CML, as critical to the outcome of the system. Our results indicate that the most promising research avenues for treatments of CML should be those that affect these two significant parameters (CML growth and death rates), while altering the other parameters should have little effect on the outcome.

This model is hosted on BioModels Database and identified by: BIOMD0000000662.

To cite BioModels Database, please use: Chelliah V et al. BioModels: ten-year anniversary. Nucl. Acids Res. 2015, 43(Database issue):D542-8.

To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Format
SBML (L2V4)
Related Publication
  • A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction.
  • Li NK, Moore H
  • Journal of theoretical biology , 4/ 2004 , Volume 227 , Issue 4 , pages: 513-523 , PubMed ID: 15038986
  • American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306, USA. moore@aimath.org
  • In this paper, we propose and analyse a mathematical model for chronic myelogenous leukemia (CML), a cancer of the blood. We model the interaction between naive T cells, effector T cells, and CML cancer cells in the body, using a system of ordinary differential equations which gives rates of change of the three cell populations. One of the difficulties in modeling CML is the scarcity of experimental data which can be used to estimate parameters values. To compensate for the resulting uncertainties, we use Latin hypercube sampling (LHS) on large ranges of possible parameter values in our analysis. A major goal of this work is the determination of parameters which play a critical role in remission or clearance of the cancer in the model. Our analysis examines 12 parameters, and identifies two of these, the growth and death rates of CML, as critical to the outcome of the system. Our results indicate that the most promising research avenues for treatments of CML should be those that affect these two significant parameters (CML growth and death rates), while altering the other parameters should have little effect on the outcome.
Contributors
Submitter of the first revision: Camille Laibe
Submitter of this revision: Rahuman Sheriff
Modellers: administrator, Camille Laibe, Rahuman Sheriff, Krishna Kumar Tiwari

Metadata information

is (2 statements)
BioModels Database MODEL1006230057
BioModels Database BIOMD0000000662

isDescribedBy (1 statement)
PubMed 15038986

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (1 statement)
Gene Ontology myeloid cell homeostasis

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

isVersionOf (1 statement)
Experimental Factor Ontology chronic myelogenous leukemia


Curation status
Curated


Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

BIOMD0000000662_url.xml SBML L2V4 representation of Moore2004 - Chronic Myeloid Leukemic cells and T-lymphocyte interaction 63.13 KB Preview | Download

Additional files

BIOMD0000000662.pdf Auto-generated PDF file 174.84 KB Preview | Download
BIOMD0000000662.png Auto-generated Reaction graph (PNG) 48.04 KB Preview | Download
BIOMD0000000662.sci Auto-generated Scilab file 186.00 Bytes Preview | Download
BIOMD0000000662.svg Auto-generated Reaction graph (SVG) 25.49 KB Preview | Download
BIOMD0000000662.vcml Auto-generated VCML file 66.26 KB Preview | Download
BIOMD0000000662_urn.xml Auto-generated SBML file with URNs 63.11 KB Preview | Download
Moore2004.cps File includes parameter values to reproduce figure 8 of reference publication, with a small discrepancy. Refer to curated figure for comments. 80.02 KB Preview | Download
Moore2004.sedml File includes parameter values to reproduce figure 8 of reference publication, with a small discrepancy. Refer to curated figure for comments. 1.10 KB Preview | Download

  • Model originally submitted by : Camille Laibe
  • Submitted: Jun 23, 2010 10:12:17 AM
  • Last Modified: Jul 12, 2019 3:00:15 PM
Revisions
  • Version: 6 public model Download this version
    • Submitted on: Jul 12, 2019 3:00:15 PM
    • Submitted by: Rahuman Sheriff
    • With comment: Duplicate autogenerated files removed.
  • Version: 3 public model Download this version
    • Submitted on: Jan 23, 2018 12:00:32 PM
    • Submitted by: administrator
    • With comment: Model name updated using online editor.
  • Version: 2 public model Download this version
    • Submitted on: Jun 25, 2010 2:18:54 PM
    • Submitted by: Camille Laibe
    • With comment: Current version of Moore2004_CML_TcellInteration
  • Version: 1 public model Download this version
    • Submitted on: Jun 23, 2010 10:12:17 AM
    • Submitted by: Camille Laibe
    • With comment: Original import of Moore2004_CML_TcellInteration

(*) 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
Sink 1.0 item
CML

leukemia cell
10000.0 item
T cell effector

Effector T-Lymphocyte
20.0 item
Source 1.0 item
T cell naive

Naive T-Lymphocyte
1510.0 item
Reactions
Reactions Rate Parameters
T_cell_effector => Sink; CML COMpartment*gamma_e*CML*T_cell_effector gamma_e = 0.0077 0.0864*l/s
T_cell_naive => Sink; CML COMpartment*kn*T_cell_naive*CML/(CML+eta) eta = 43.0 1/Ml; kn = 0.063 1/(0.0115741*ms)
Source => CML COMpartment*rc*CML*ln(Cmax/CML) rc = 0.23 1/(0.0115741*ms); Cmax = 190000.0 1/Ml
Source => T_cell_effector; CML COMpartment*alpha_e*T_cell_effector*CML/(CML+eta) eta = 43.0 1/Ml; alpha_e = 0.53 1/(0.0115741*ms)
Source => T_cell_effector; T_cell_naive, CML COMpartment*alpha_n*kn*T_cell_naive*CML/(CML+eta) eta = 43.0 1/Ml; alpha_n = 0.56 1; kn = 0.063 1/(0.0115741*ms)
Source => T_cell_naive COMpartment*sn*Source sn = 0.071 1/(11.5741*l*s)
T_cell_effector => Sink COMpartment*de*T_cell_effector de = 0.12 1/(0.0115741*ms)
Curator's comment:
(added: 23 Jan 2018, 11:40:56, updated: 23 Jan 2018, 11:40:56)
Figures 6, 7 and 8 of the reference publication have been reproduced. The model illustrates three distinct behaviours of CML cell count over time. Although the overall trend is similar between the reference and reproduced figure, CML cell count in the reproduced figures are slightly offset. To match the reference figure, parameters such as d_c, Cmax, etc. reported in the reference publications need to be adjusted. Simulations were performed in COPASI 4.22 (Build 170) using parameter values in Table 3 in the reference paper and figures were produced in Matlab R2014b.