Skip to Main content Skip to Navigation
Journal articles

Stability Analysis of Cell Dynamics in Leukemia

Abstract : In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we inves- tigate stability of a system modeling its cell dynamics. The overall system is a cascade connection of sub-systems consisting of distributed delays and static nonlinear feedbacks. Earlier results on local asymptotic stability are improved by the analysis of the linearized system around the positive equilibrium. For the nonlinear system, we derive stability conditions by using Popov, circle and nonlinear small gain criteria. The results are illustrated with numerical examples and simulations.
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/hal-00766052
Contributor : Catherine Bonnet <>
Submitted on : Monday, December 17, 2012 - 2:51:39 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

Links full text

Identifiers

Citation

Hitay Ozbay, Catherine Bonnet, Houda Benjelloun, Jean Clairambault. Stability Analysis of Cell Dynamics in Leukemia. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2012, Cancer Modeling, 7 (1), pp.203-234. ⟨10.1051/mmnp/20127109⟩. ⟨hal-00766052⟩

Share

Metrics

Record views

739