Platelet Regulation Modelling with Delay and Its Simulations

K. Kumnungkit (Thailand)

Keywords

Mathematical Modelling, Platelets, Thrombopoietin (TPO), Critical delay time, Numerical Simulation.

Abstract

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.

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