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

Mostafa Adimy, Fabien Crauste, Shigui Ruan

Research output: Contribution to journalArticle

43 Citations (Scopus)

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

Fingerprint

Stem Cells
Hopf bifurcation
Stem cells
Hopf Bifurcation
Time delay
Bone
Blood
Differential equations
Cells
Mathematical Model
Mathematical models
Distributed Delay
Cell Population
Cell Cycle
Stability Condition
Time Delay
Entire
Differential equation
Interval
Mathematical model

Keywords

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

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. / Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui.

In: Nonlinear Analysis: Real World Applications, Vol. 6, No. 4, 09.2005, p. 651-670.

Research output: Contribution to journalArticle

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