A study on stability and medical implications for a complex delay model for CML with cell competition and treatment

I R Rădulescu; D Cândea; A Halanay

doi:10.1016/j.jtbi.2014.08.009

A study on stability and medical implications for a complex delay model for CML with cell competition and treatment

J Theor Biol. 2014 Dec 21:363:30-40. doi: 10.1016/j.jtbi.2014.08.009. Epub 2014 Aug 12.

Authors

I R Rădulescu¹, D Cândea², A Halanay²

Affiliations

¹ Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independentei, RO-060042 Bucharest, Romania. Electronic address: [email protected].
² Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independentei, RO-060042 Bucharest, Romania.

PMID: 25128235
DOI: 10.1016/j.jtbi.2014.08.009

Abstract

We study a mathematical model describing the dynamics of leukemic and normal cell populations (stem-like and differentiated) in chronic myeloid leukemia (CML). This model is a system of four delay differential equations incorporating three types of cell division. The competition between normal and leukemic stem cell populations for the common microenvironment is taken into consideration. The stability of one steady state is investigated. The results are discussed via their medical interpretation.

Keywords: Asymmetric division; Cells competition; Delay differential equations; Leukemia.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Cell Division / physiology*
Cellular Microenvironment*
Leukemia, Myelogenous, Chronic, BCR-ABL Positive / physiopathology*
Leukemic Infiltration / physiopathology*
Models, Biological*
Time Factors