A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction

Helen Moore, Natasha K Li, Natasha Martin

Research output: Contribution to journalArticle (Academic Journal)peer-review

114 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)513-23
Number of pages11
JournalJournal of Theoretical Biology
Issue number4
Publication statusPublished - 21 Apr 2004


  • Humans
  • Cell Death
  • Leukemia, Myelogenous, Chronic, BCR-ABL Positive
  • Models, Biological
  • T-Lymphocytes
  • T-Lymphocyte Subsets
  • Numerical Analysis, Computer-Assisted
  • Mathematics
  • Cell Division


Dive into the research topics of 'A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction'. Together they form a unique fingerprint.

Cite this