Moore2004 - Chronic Myeloid Leukemic cells and T-lymphocyte interaction

This model is described in the article:
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.
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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.
Submitter of this revision: Rahuman Sheriff
Modellers: administrator, Camille Laibe, Rahuman Sheriff, Krishna Kumar Tiwari
Metadata information
isDescribedBy (1 statement)
hasTaxon (1 statement)
hasProperty (1 statement)
unknownQualifier (1 statement)
isVersionOf (1 statement)
Connected external resources
Name | Description | Size | Actions |
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Model files |
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BIOMD0000000662_url.xml | SBML L2V4 representation of Moore2004 - Chronic Myeloid Leukemic cells and T-lymphocyte interaction | 63.13 KB | Preview | Download |
Additional files |
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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
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Version: 6
- Submitted on: Jul 12, 2019 3:00:15 PM
- Submitted by: Rahuman Sheriff
- With comment: Duplicate autogenerated files removed.
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Version: 3
- Submitted on: Jan 23, 2018 12:00:32 PM
- Submitted by: administrator
- With comment: Model name updated using online editor.
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Version: 2
- Submitted on: Jun 25, 2010 2:18:54 PM
- Submitted by: Camille Laibe
- With comment: Current version of Moore2004_CML_TcellInteration
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Version: 1
- Submitted on: Jun 23, 2010 10:12:17 AM
- Submitted by: Camille Laibe
- With comment: Original import of Moore2004_CML_TcellInteration
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: Variable used inside SBML models
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 | 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) |
(added: 23 Jan 2018, 11:40:56, updated: 23 Jan 2018, 11:40:56)