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