急性髓系白血病细胞动力学模型PDEs的稳定性分析

53rd IEEE Conference on Decision and Control Pub Date : 2014-12-01 DOI:10.1109/CDC.2014.7039860

Jose Louis Avila Alonso, C. Bonnet, E. Fridman, F. Mazenc, J. Clairambault

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引用次数: 11

摘要

在本文中，我们进行了两个系统的稳定性分析偏微分方程(PDEs)模拟细胞动力学在急性髓系白血病。利用李雅普诺夫方法，对于感兴趣的平衡点，我们得到了依赖于系统参数的稳定界。首先，给出了解有界性的充分条件。然后，得到了渐近稳定性条件。通过数值算例和仿真对结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability analysis of PDEs modelling cell dynamics in Acute Myeloid Leukemia

In this paper we perform a stability analysis of two systems of partial differential equations (PDEs) modelling cell dynamics in Acute Myeloid Leukemia. By using a Lyapunov approach, for an equilibrium point of interest, we obtain stability bounds depending on the parameters of the systems. First, we derive sufficient conditions for boundedness of solutions. Then, asymptotic stability conditions are obtained. The results are illustrated with numerical examples and simulations.

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53rd IEEE Conference on Decision and Control

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