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生物数学建模简介:庞加莱班狄克生

Math 113B. Lec. 23. Introduction to Mathematical Modeling in Biology: Poincare-Bendixon
课程网址: http://ocw.uci.edu/lectures/math_113b_lec_23_introduction_to_math...  
主讲教师: German Andres Enciso Ruiz
开课单位: 加州大学尔湾分校
开课时间: 2014-05-05
课程语种: 英语
中文简介:
本课程是为具有基本数学背景的数学和生物学本科生开设的,包括使用连续ODE方法(而不是113A中使用的离散方法)建模生物问题的介绍。我们在一个简单的种群模型的背景下描述动态系统的基本定性行为,并在时间允许的情况下,引入其他类型的模型,如细胞内的化学反应或导致振荡和神经元信号的可兴奋系统。本课程所需要的线性代数的某些主题也被提出,因此线性代数的先决条件是没有必要的。
课程简介: This course is intended for both mathematics and biology undergrads with a basic mathematics background, and consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model and, as time allows, introduce other types of models such as chemical reactions inside the cell or excitable systems leading to oscillations and neuronal signals. Certain topics from linear algebra that are needed for this course are presented as well, so a linear algebra prerequisite is not necessary.
关 键 词: 庞加莱—班狄克生定理; 生物数学; 建模
课程来源: 加州大学欧文分校公开课
最后编审: 2020-05-30:王勇彬(课程编辑志愿者)
阅读次数: 195