Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426666 | Nonlinear Analysis: Real World Applications | 2005 | 20 Pages |
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.
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Authors
Mostafa Adimy, Fabien Crauste, Shigui Ruan,