基于数学模型下的运动-食疗干预对减肥效果的研究.docx

基于数学模型下的运动-食疗干预对减肥效果的研究数学与应用数学摘要肥胖患者普遍存在于我们的社会中，特别是经济发达的国家，肥胖患者的人口基数比贫 穷的国家或地区更大有相当多的肥胖人群，会因自身的肥胖问题，无形中给自己带来很大 的压力，严重时还会给整个家庭带来不可忽略的影响肥胖症作为一个医学问题已经困扰了 医学界很多年根据世界卫生组织的定义，BMI(Body Mass Index) 30kg / m为肥胖肥胖症是一种代谢性疾病，其发病机制是脂肪细胞数量增多、体积增大而引起脂肪过度 堆积，继而导致脂类代谢紊乱山作为一种营养过剩的疾病，不仅会影响自身的形体美观， 且可以导致身体许多系统的严重并发症，已经成为人体健康的大敌也其常见的并发症有高 血压、心脑血管疾病、糖尿病、脂肪肝等症状⑶这些疾病都与肥胖有着密切的关系，不仅 给患者带来巨大的痛苦，还耗费了巨大的社会资源从中医学来看，肥胖无非就是食物的摄入量远远大于消耗量而引起的体重增加的问题， 再加上先天不足所产生的一些代谢性疾病⑷其原因关键还是肝、肺、脾胃及心、肾等器官 运行失调，使得人体的水湿津液在运输过程中发生了障碍，逐渐形成痰湿聚集于机体而导致 肥胖。

在中医学中，痰湿症是一种很常见的疾病，要治疗这样的病症，方法有很多种，其中 还有一种食疗方法，是一种相对比较经济、系统的治疗方法但是，单一的想通过食疗方法 治疗肥胖症，显然是达不到预期效果的研究的目的：通过建立数学模型，分析从模型中得到的相关数据，再结合中医食疗的方 法，最后制定科学的运动方式，为肥胖患者制定健康的科学的减肥方案研究的方法：首先，收集关于肥胖症、食疗方法中的中医学论述著作、文献，查找前人 研究过的相关的数学模型其次，测量肥胖患者的体重指数，假设基本条件，建立减肥数学 模型，通过实例分析模型中的数据，对比理论值与实际方案的可执行性最后修改模型，结 合中医食疗理论，为患者制定出一份科学的减肥方案研究的结论：通过分析数学模型，运用中医食疗方法及科学的运动方式，为肥胖程度不 同的患者，制定出符合自身的减肥方案，在理论上达到了健康科学的减肥目的关键词： 数学模型，中医食疗，运动，肥胖，体重AbstractObese patients are widespread in our society, especially in economically developed countries, obesity patient population is larger than poor countries or regions. There are quite a few obese people, due to their obesity, virtually bring themselves a lot of pressure, serious when still can bring the whole family influence that cannot be ignored. Obesity as a medical problem has plagued the medical profession for many years, but the other side of it is a social problem. According to the world health organization, the definition of BMI (Body Mass Index) 30 kg/m for obesity.Obesity is a kind of metabolic disease, its pathogenesis is fat cells number, size and the cause of excessive fat accumulation, which in turn lead to lipid metabolism disorders[1]. Obesity is a disease of excess nutrients, not only affect their own body and beautiful, and can lead to many serious complications of the system, and has become the enemy of human health[2]. the common complications of hypertension, cardiovascular disease, diabetes, fatty liver and other symptoms⑶. these diseases and obesity has a close relationship, not only bring great pain to the patient, also took a huge social resources.From medical, obesity is caused by the intake of food consumption is much larger than of weight gain, and deficiency of some metabolic disease [4]. The reason for this key or liver, lung, spleen and stomach and run organ such as heart, kidney disorders, make the body of water wet body fluid in transportation occurred in the process of obstacle, gradually form phlegm wet accumulation in the body and lead to obesity. In traditional Chinese medicine, phlegm wet disease is a common disease, must treat this disease, there are several kinds of methods including a diet method, is a relatively economic and systematic treatment. However, single want to treat obesity through the diet method, is clearly cannot achieve the desired effect. The purpose of the research: by establishing mathematical model, the data from the model are analyzed, and then in combination with therapeutic methods of TCM, finally develop scientific way of movement, establishing health scientific weight loss plan for obese patients.Research methods: first, collect about obesity and diet methods of traditional Chinese medicine books, documents, find the previous relevant mathematics models are studied. Secondly, measurement of obese patients body mass index, assuming that basic conditions, to establish the mathematical model, the weight loss through the example analysis data in the model, compare the enforceability of the theoretical value and practical scheme. Last modified model, combining the theory of TCM diet for patients develop a scientific solution to lose weight.Research conclusions: through the analysis of mathematical model, the use of traditional Chinese medicine diet method and scientific way of movement, for patients with obesity degree, develop your own weight loss plan, in theory, to achieve the health science aim to lose weight.Keywords： Mathematical model, Chinese medicine diet, movement, obesity, weigh目录摘要 IAbstract II1. 绪论 11.1课题背景 11.2课题意义及目的 11.3研究方法 21.4研究成果 22. 建立数学模型 32.1模型假设 32.1.1条件假设 32.2模型建立 52.2.1基本模型 52.3模型分析 52.4设计实例一 52.5结论一 83. 依据实例一设计运动量及减肥食谱 93.1设计方案一 93.1.1设计运动量 93.1.2设计减肥食谱 103.1.2.1部分中医减肥理论的叙述 103.1.2.2制定减肥食谱 133.2讨论 144. 修正模型 154.1修正模型 154.2模型分析 154.3设计实例二 155. 依据实例二设计运动量及减肥食谱 185.1设计方案二 185.1.1设计运动量 185.1.2设计减肥食谱 185.2小结 196. 全文结论 20参考文献 21致谢 221. 绪论1.1课题背景肥胖患者普遍存在于我们的社会中，特别是经济发达的国家，肥胖患者的人口基数比贫 穷的国家或地区更大。

有相当多的肥胖人群，会因自身的肥胖问题，无形中给自己带来很大 的压力，严重时还会给整个家庭带来不可忽略的影响肥胖症作为一个医学问题已经困扰了 医学界很多年根据世界卫生组织的定义，BMI(Body Mass Index)30kg/m为肥胖肥胖症是一种代谢性疾病，其发病机制是脂肪细胞数量增多、体积增大而引起脂肪过度 堆积，继而导致脂类代谢紊乱山作为一种营养过剩的疾病，不仅会影响自身的形体美观， 且可以导致身体许多系统的严重并发症，已经成为人体健康的大敌四其常见的并发症有高 血压、心脑血管疾病、糖尿病、脂肪肝等症状⑶这些疾病都与肥胖有着密切的关系，不 仅给患者带来巨大的痛苦，还耗费了巨大的社会资源从中医学来看，肥胖无非就是食物的摄入量远远大于消耗量而引起的体重增加的问题， 再加上先天不足所产生的一些代谢性疾病⑷其原因关键还是肝、肺、脾胃及心、肾等器官 运行失调，使得人体的水湿津液在运输过程中发生了障碍，逐渐形成痰湿聚集于机体。