多能干细胞动力学数学模型的稳定性和Hopf分支
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
摘要：
我们研究了一个数学模型，它描述了骨髓造血过程中多能干细胞群体的动态变化。该模型是一个具有时滞的微分方程。延迟描述了细胞周期的持续时间，并均匀分布在一个间隔。我们得到了独立于时滞的稳定性条件。我们还表明，分布延迟可以使整个系统不稳定。特别是，它表明，霍普夫分岔可能发生。
英文摘要：
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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