Mathematical Modeling the Life Sciences: Numerical Recipes in Python and Matlab(r)

The purpose of this unique textbook is to bridge the gap between the need for numerical solutions to modeling techniques through computer simulations to develop skill in employing sensitivity analysis to biological and life sciences applications.

The underpinning mathematics is minimalized. The focus is on the consequences, implementation, and application. Historical context motivates the models. An understanding of the earliest models provides insight into more complicated ones.

While the text avoids getting mired in the details of numerical analysis, it demonstrates how to use numerical methods and provides core codes that can be readily altered to fit a variety of situations.

Numerical scripts in both Python and MATLAB(R) are included. Python is compiled in Jupyter Notebook to aid classroom use. Additionally, codes are organized and available online.

One of the most important skills requiring the use of computer simulations is sensitivity analysis. Sensitivity analysis is increasingly used in biomathematics. There are numerous pitfalls to using sensitivity analysis and therefore a need for exposure to worked examples in order to successfully transfer their use from mathematicians to biologists.

The interconnections between mathematics and the life sciences have an extensive history. This book offers a new approach to using mathematics to model applications using computers, to employ numerical methods, and takes students a step further into the realm of sensitivity analysis. With some guidance and practice, the reader will have a new and incredibly powerful tool to use.

這本獨特教科書的目的是彌補在生物和生命科學應用中需要數值解模擬技術的需求與敏感性分析技巧之間的差距。

數學基礎被最小化，重點放在結果、實施和應用上。歷史背景激發了模型的動機。對最早的模型的理解有助於理解更複雜的模型。

雖然本書避免深入細節的數值分析，但它展示了如何使用數值方法，並提供了可以輕易修改以適應各種情況的核心代碼。

書中包含了Python和MATLAB(R)的數值腳本。Python編譯在Jupyter Notebook中，以幫助課堂使用。此外，代碼也有組織並在線上提供。

使用電腦模擬所需的最重要技能之一是敏感性分析。敏感性分析在生物數學中越來越常用。使用敏感性分析存在許多陷阱，因此需要通過實例來曝光，以成功將其從數學家轉移到生物學家。

數學與生命科學之間的相互聯繫具有廣泛的歷史。本書提供了一種使用數學來模擬應用程序、使用計算機、應用數值方法的新方法，並將學生帶入敏感性分析的領域。通過一些指導和練習，讀者將擁有一個新的、極其強大的工具。

Nicholas G. Cogan is Professor of Mathematics at Florida State University. He began studying mathematical biology in undergraduate school and received his Ph.D. from the University of Utah under James P. Keener. He routinely works with microbiologists, environmental engineers, clinicians, and other scientists outside of mathematics. He has taught for twenty years at the undergraduate level and his research focuses on mathematical modeling in the life sciences. He is the author of over fifty articles using mathematics with biology.

Nicholas G. Cogan是佛羅里達州立大學的數學教授。他在大學時開始研究數學生物學，並在詹姆斯·P·基納的指導下於猶他大學獲得博士學位。他經常與微生物學家、環境工程師、臨床醫生和其他數學以外的科學家合作。他在大學本科教學已有二十年的經驗，他的研究重點是生命科學中的數學建模。他是使用數學與生物學相關的五十多篇文章的作者。