Stability analysis of some equilibria in a time-delay model for cell dynamics in leukemia including the action of the immune system

  • D. Cˆandea
  • A. Halanay
  • I. R. R˘adulescu

Abstract

In this work we analyze the stability properties of a complex, strongly nonlinear model of delay-differential equations with multiple delays, for cell evolution in leukemia. The model includes the action of the immune system. 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.

Published
2016-05-28
Section
Articles