A Mathematical Model for Chronic Myelogenous Leukemia and T Cell Interaction
Catherine
Lloyd
Bioengineering Institute, University of Auckland
Model Status
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
Model Structure
Chronic myelogenous leukemia (CML) is a cancer that affects cells circulating in the blood
system. The disease represents approximately 15% of all leukemias in adults. The immune system
is known to play a role in determining the dynamics of CML, and in the publication described
here by Moore and Li (2004), the authors develop a mathematical model which describes the
human immune system's response to CML in a hypothetical patient.
The mathematical model (see below), consists of a
system of three nonlinear ordinary differential equations. These equations consider the rates
of change for naive and effector T cells, as well as the CML cancer cell population. The
parameter values are based on experimental data and estimates. Model simulation results suggest
that changes in most parameters, such as naive and effector T cell death rates, have little
effect on the long-term outcome of the system. However, changes in the CML cancer growth rate
or death rate, result in significantly different outcomes of the system.
The model has been described here in CellML (the raw CellML description of the Moore and Li 2004 model can be downloaded in various formats as described in ).
The complete original paper reference is cited below:
A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction, Helen Moore and Natasha K. Li, 2004,
Journal of Theoretical Biology
, 11, 369-391. (Full text (HTML) and PDF versions of the article are available to subscribers on the Journal of Theoretical Biology website.) PubMed ID: 15038986
reaction diagram
Cell population diagram showing the population dynamics of each cell type and how they interact with each other. These dynamics and interactions are described by the mathematical model equations.
Tn
naive T cells
Te
effector T cells specific to CML
C
chronic myelogenous leukemia (CML) cancer cells
T cell
immunology
t cell
cancer
keyword
c.lloyd@auckland.ac.nz
Catherine
Lloyd
May
The University of Auckland
The Bioengineering Institute
Catherine Lloyd
Moore and Li's 2004 mathematical model for chronic myelogenous leukemia and T cell interaction.
T lymphocyte
15038986
2004-03-27
Helen
Moore
The University of Auckland, Bioengineering Institute
This is the CellML description of Moore and Li's 2004 mathematical model for chronic myelogenous leukemia and T cell interaction.
A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction
227
513
523
Natasha
Li
K
2004-04-21
Journal of Theoretical Biology