Niculescu, Silviu-Iulian (Univ. de Tech. de Compiegne), Kim, Peter (Stanford Univ.), Gu, Keqin (Southern Illinois Univ. Edwardsville), Levy, Doron (Stanford Univ.)

On the Stability Crossing Boundaries of Some Delay Systems Modeling Immune Dynamics in Leukemia

Scheduled for presentation during the Regular Session "Delay Systems" (FrP06), Friday, July 28, 2006, 16:10−16:35, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 23, 2024

Abstract

This paper focuses on the characterization of delay effects on the asymptotic stability of some continuous-time delay systems encountered in modeling the post-transplantation dynamics of the immune response to chronic myelogenous leukemia. More explicitly, we shall discuss the stability of the crossing boundaries of the corresponding linearized models in the delay-parameter space. Weak, and strong cell interactions are discussed, and analytic characterizations are proposed. An illustrative example completes the presentation.