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

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

2009-04-16

arxiv.org/abs/0904.2491v1

Nonlinear Analysis Real World Applications 6, 4 (2005) 651-670

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.nonrwa.2004.12.010

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. We also show that the distributed delay can destabilize the entire system. In particularly, it is shown that Hopf bifurcations can occur.

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