下丘脑—胰岛轴激素分泌的非线性动力学研究

发布时间：2018-06-22 01:02

本文选题：下丘脑 + 胰岛素　；参考：《东北师范大学》2015年硕士论文

【摘要】：随着人们生活水平的不断提高,糖尿病患者也越来越多,初期无明显症状,很容易被人们忽视。一旦出现糖尿病症状,以现有医学手段仍无法治愈,只能通过控制饮食、服药,甚至注射胰岛素来治疗。严重时,糖尿病可引发全身的并发症,甚至有生命危险。要了解糖尿病就要了解血糖控制过程,因此研究血糖调节过程对糖尿病的治疗有重要作用。生理系统是一个极其复杂的系统,所以不能用简单的方法模拟和解释。近年来用非线性模型来模拟生理过程成为热点研究之一,为临床治疗和了解发病机制提供了一种理论预测。已经在心脏病的治疗、心电信号模拟、神经网络混沌研究、细胞节律现象、脑电分析等方面得到应用,在内分泌系统中,肾上腺轴的非线性系统研究比较成熟,而鲜见对胰岛轴展开的研究。本文依据生理学理论,分析了血糖-胰岛素在体内的调节过程,以及下丘脑-胰岛轴的血糖反馈调节过程,依据酶促反应动力学原理和非线性动力学理论,建立了新的下丘脑-胰岛轴血糖控制过程的非线性动力学方程,并利用matlab软件求出方程的周期振荡解、倍周期解以及混沌解,从而在理论上呈现出胰岛素是以脉冲方式分泌的,并可能是混沌行为的结论。
[Abstract]:With the improvement of people's living standard, there are more and more patients with diabetes mellitus. Once diabetes symptoms are present, there is no cure by existing medical means, which can only be treated by diet control, medication, and even insulin injection. In severe cases, diabetes can lead to systemic complications and even life-threatening. To understand diabetes, we need to understand the process of blood glucose control, so the study of blood glucose regulation plays an important role in the treatment of diabetes. Physiological system is an extremely complex system, so it can not be easily simulated and explained. In recent years, the use of nonlinear models to simulate physiological processes has become one of the hot topics, which provides a theoretical prediction for clinical treatment and understanding of pathogenesis. Has been used in the treatment of heart disease, ECG simulation, neural network chaos research, cell rhythm phenomenon, EEG analysis, etc. In the endocrine system, the nonlinear system of adrenal axis is relatively mature. But few studies have been carried out on islet axis. Based on physiological theory, the regulation process of blood glucose and insulin in vivo and the feedback regulation of blood glucose in hypothalamus-islet axis were analyzed in this paper. According to the kinetic principle of enzymatic reaction and nonlinear kinetic theory, A new nonlinear dynamic equation of hypothalamus-islet axis blood glucose control process is established. The periodic oscillatory solution, double periodic solution and chaotic solution of the equation are obtained by using matlab software. Thus, it is theoretically shown that insulin is secreted in a pulsed manner. And may be the conclusion of chaotic behavior.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：R587.1

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