Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 6, Issue 4, Pages 651-670Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2004.12.010
Keywords
blood production system; stem cells; delay differential equations; stability; Hopf bifurcation
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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. (c) 2005 Elsevier Ltd. All rights reserved.
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