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

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dc.creatorAdimy, Mostafa
dc.creatorCrauste, Fabien
dc.creatorRuan, Shigui
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:05:01Z
dc.date.available2026-07-07T13:05:01Z
dc.descriptionWe 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. We also show that the distributed delay can destabilize the entire system. In particularly, it is shown that Hopf bifurcations can occur.
dc.identifierhttps://arxiv.org/abs/0904.2491
dc.identifierhttp://arxiv.org/abs/0904.2491
dc.identifierNonlinear Analysis Real World Applications 6, 4 (2005) 651-670
dc.identifierdoi:10.1016/j.nonrwa.2004.12.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227369
dc.subjectAnalysis of PDEs
dc.subjectCell Behavior
dc.subjectTissues and Organs
dc.titleStability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
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