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Stability of a Delay System Coupled to a Differential-Difference System Describing the Coexistence of Ordinary and Mutated Hematopoietic Stem Cells
Abstract : A new mathematical model that represents the coexistence between normal and leukemic populations of cells is proposed and analyzed. It is composed by a nonlinear time-delay system describing the dynamics of ordinary stem cells, coupled to a differential-difference system governing the dynamics of mutated cells. A Lyapunov-like technique is devel- oped in order to investigate the stability properties of a steady state where healthy cells survive while leukemic ones are eradicated. Exponential stability of solutions is established, estimate of their decay rate is given and a subset of the basin of attraction of the desired steady state is provided.
https://hal.inria.fr/hal-01389870
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, February 8, 2017 - 2:14:27 PM
Last modification on : Monday, January 4, 2021 - 2:46:03 PM
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, February 8, 2017 - 2:14:27 PM
Last modification on : Monday, January 4, 2021 - 2:46:03 PM
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