A Mathematical Model for Erythroid Regulation
نویسندگان
چکیده
A mathematical model connecting the dynamics of the essential components in this process; the erythrocytes (RBC), the hormone erythropoietin (EPO) and the oxygen is proposed. A time delay is included to simulate the dynamics of the maturation steps. A bifurcation analysis is performed to determine the ranges of parameter values. The effects of the time delay are seen in the simulated production of the erythrocytes as the delay time is increased past the critical value. Key-Words: Erythropoiesis, Nonlinear autonomous equation, Delay, Hopf bifurcation, Critical delay time.
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