人体内分泌系统非线性动力学模型的混沌特性研究

发布时间：2018-05-07 16:49

本文选题：混沌 + 节律　；参考：《东北师范大学》2009年硕士论文

【摘要】： 利用非线性动力学理论研究人体生理内分泌系统中激素的分泌及其与其他因素的相互关系,在生理学理论领域深层次建立非线性动力学模型,寻找各参量之间的协同作用,进一步考虑增加更全面因素在反馈系统中的作用。建立模型计算的结果有可能会给患者的治疗提出合理的建议,具有潜在的应用价值。本文采用Maple平台进行计算,对现有的下丘脑—垂体—甲状腺轴激素分泌的非线性动力学模型进行了改进和分析,用变步长四阶龙格-库塔法求解模型方程组,得到了系统的周期振荡解、混沌解、倍周期相图,计算了激素的基础值、产生率和清除率以及半衰期等结果。结果指出:由此模型不仅能得到与通常实验事实相符合的结果,而且能解释此系统的节律现象及混沌现象。
[Abstract]:The nonlinear dynamics theory is used to study the secretion of hormones in human physiological endocrine system and their relationship with other factors. The nonlinear dynamic model is established in the field of physiology theory to find out the synergism among the parameters. Further consider the role of adding more comprehensive factors in the feedback system. The results of model calculation may provide reasonable suggestions for the treatment of patients, and have potential application value. In this paper, the existing nonlinear kinetic model of hypothalamus-pituitary-thyroid axis hormone secretion is improved and analyzed by using Maple platform. The model equations are solved by variable step size four-order Runge-Kutta method. The periodic oscillation solution, chaotic solution, double period phase diagram are obtained, and the basic values, production rate, clearance rate and half-life of hormone are calculated. The results show that the model can not only obtain the results consistent with the experimental results, but also explain the rhythmic and chaotic phenomena of the system.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2009
【分类号】：R311;O415.5

【参考文献】