Non-linear Dynamics Research Of Hypothalamus-Pancreatic Island Axis Hormone Secretion

In recent years, the risk of diabetes mellitus is more increasing with the improvement of people’s living standard. Because the early symptoms are not obvious, it is easy to be neglected. Once found the symptoms of diabetes,with the current medical methods it cannot be cured, only through control diet, medication, or even to inject insulin to treatment. Understand diabetes need to understand the process of diabetes blood glucose regulation. Study of blood glucose regulation process helps to find out the pathogenesis of diabetes mellitus.The physiological system is complex, so you can’t use a single method to simulate and explain. In recent years, non-linear model to simulate the physiological system has become one of hot topic that provides a theoretical forecast for clinical treatment and understanding the mechanisms of pathogenesis, applying in the treatment of heart disease, ECG signal simulation, neural network, chaos of cellular rhythms phenomenon, and EEG analysis etc. In the endocrine system, the nonlinear system research of the adrenal axis is relatively mature, but relatively little research on pancreatic islet axis.This paper analyses the regulation process of blood glucose-insulin in of the body based on the theory of physiology and the blood glucose feedback regulation process of hypothalamic-inlet axis. According to the principle of enzymatic kinetics and the theory of nonlinear dynamics, establish a new nonlinear dynamic equation in glucose control process of hypothalamic-pituitary-islet axis. And solving the equation of periodic oscillatory solution, periodic solution and chaotic solution by using the matlab software, thus in theory showing insulin secreted by pulse mode and may be the conclusion of chaotic behavior.