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

Mostafa Adimy, Fabien Crauste, Shigui Ruan

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)651-670
Number of pages20
JournalNonlinear Analysis: Real World Applications
Volume6
Issue number4
DOIs
StatePublished - Sep 2005

Keywords

  • Blood production system
  • Delay differential equations
  • Hopf bifurcation
  • Stability
  • Stem cells

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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