Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation.

Abstract excerpt

In this paper we consider a system of non-linear integro-differential equations (IDEs) describing evolution of a clonally heterogeneous population of malignant white blood cells (leukemic cells) undergoing mutation and clonal selection. We prove existence and uniqueness of non-trivial steady states and study their asymptotic stability. The results are compared to those of the system without mutation. Existence of...

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