Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics

被引：56

作者：

Adimy, M

Crauste, F

Ruan, SG

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

[2] Univ Pau & Pays Adour, Lab Math Appl, FRE 2570, F-64000 Pau, France

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2005年 / 6卷 / 04期

关键词：

blood production system; stem cells; delay differential equations; stability; Hopf bifurcation;

D O I：

10.1016/j.nonrwa.2004.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differential equation with a time delay. The delay describes the cell cycle duration and is uniformly distributed on an interval. We obtain stability conditions independent of the delay and show that the distributed delay can destabilize the entire system. In particular, it is shown that a Hopf bifurcation can occur. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：651 / 670

页数：20

共 16 条

[1]

Global stability of a partial differential equation with distributed delay due to cellular replication [J].