title: A study on stability and medical implications for a complex delay model for CML with cell competition and treatment.
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.
authors.affiliation: Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independentei, RO-060042 Bucharest, Romania. Electronic address: nicola_rodica@yahoo.com.
authors.forename: I R
authors.initials: IR
authors.lastname: Rădulescu
authors.affiliation: Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independentei, RO-060042 Bucharest, Romania.
authors.forename: D
authors.initials: D
authors.lastname: Cândea
authors.affiliation: Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independentei, RO-060042 Bucharest, Romania.
authors.forename: A
authors.initials: A
authors.lastname: Halanay
mesh_terms: D002455:Cell Division / Q000502:physiology*; D060833:Cellular Microenvironment; D015464:Leukemia, Myelogenous, Chronic, BCR-ABL Positive / Q000503:physiopathology*; D017254:Leukemic Infiltration / Q000503:physiopathology*; D008954:Models, Biological; D013997:Time Factors
keywords: Asymmetric division; Cells competition; Delay differential equations; Leukemia