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PLATELET REGULATION MODELLING WITH DELAY AND ITS SIMULATIONS

机译:血小板调节模拟延迟及其模拟

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摘要

The regulation of platelets by thrombopietin is described for a nonlinear mathematical model. The system is described by an autonomous continuous delayed differential equation. A pair of the platelet regulation equation controlled by the amount of TPO acting on the progenitor platelet stem cells. It is shown that hopf bifurcation occurs in this system. There are ensured the existences of a steady state and a non steady state in the system model. Finally, some numerical simulations are taken. The behaviors agree with the results predicted by the theoretical analysis.
机译:用血栓形成血小板调节用于非线性数学模型。该系统由自主连续延迟微分方程描述。一种由作用于祖血小板干细胞的TPO量控制的一对血小板调节方程。结果表明,在该系统中发生Hopf分叉。确保系统模型中的稳态和非稳态存在的存在。最后,采取了一些数值模拟。行为同意理论分析预测的结果。

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