Doina Cândea, Andrei Halanay, Ileana Rodica Radulescu: Stability analysis of some equilibria in a time-delay model for competition of leukemia and healthy cells in CML, p.135-150


We analyse the stability properties of a steady state in a complex, strongly nonlinear, system of delay-differential equations with multiple delays, modelling an aggravated phase of cell evolution in Chronic Myelogenous Leukemia. The competition on space between healthy and leukemic cell populations is taken into consideration. Three types of division that a stem-like cell can undergo, asymmetric division, self-renew and differentiation are also considered. Numerical results and simulations are discussed in relation to clinical implications of the proposed model..

Key Words: Leukemia, asymmetric division, stability, delay differential equations, cells competition.

2000 Mathematics Subject Classification: Primary: 34K20;
Secondary: 92D25, 92C50.