A Nonlinear Dynamical Model Of The Pulsatile Secretion Of Neuro-endocrine Growth Axis And It’s Solution

The neuro-endocrine growth axis plays a major role of regulation in the progress ofhuman growth and development. The progress needs the path ofhypothalamus-pituitary-target to achieve: the message in vivo and vitro is accepted anddisposed in hypothalamus and hypothalamus secretes growth hormone releasinghormone(GHRH) and somatostatin(SS) which act on pituitary to control the secretion ofgrowth hormone. Growth hormone reaches the liver via blood circulation and combines withgrowth hormone receptor on the surface of cell membranes and then the mechanism of signaltransmission in cells is activated. At the same time, the expression of insulin-like growthfactors is stimulated which can function in peripheral via blood circulation to promote the cellgrowth and differentiation.This article, through the establishment of a new nonlinear dynamic model， to analyzethe role of the growth hormone in the neuro-endocrine growth axis. we used Matlab workingplatform and the variable step fourth-order Runge-Kutta (RK4) method to calculate thedifferential equations which fit the model, and get the solution of the system of periodicoscillations and chaos. the result showed that the solution consistent with the usualexperimental facts.