Mathematical Modeling the Life Sciences: Numerical Recipes in Python and Matlab(r)
暫譯: 生命科學的數學建模：Python 和 Matlab(r) 的數值方法
Cogan, N. G.
商品描述
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.
商品描述(中文翻譯)
這本獨特的教科書旨在彌補對數值解決方案的需求，透過電腦模擬的建模技術來發展在生物和生命科學應用中運用敏感度分析的技能。
基礎數學被簡化到最小。重點放在後果、實施和應用上。歷史背景激勵著模型的發展。理解最早的模型能夠提供對更複雜模型的洞察。
雖然本書避免深入數值分析的細節，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。
本書包含了 Python 和 MATLAB(R) 的數值腳本。Python 在 Jupyter Notebook 中編譯，以便於課堂使用。此外，代碼已經整理並可在線獲得。
使用電腦模擬所需的最重要技能之一是敏感度分析。敏感度分析在生物數學中越來越常用。使用敏感度分析有許多陷阱，因此需要接觸到實例，以便成功地將其使用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有著悠久的歷史。本書提供了一種新的方法，利用數學來建模應用，使用電腦來運用數值方法，並將學生帶入敏感度分析的領域。透過一些指導和練習，讀者將擁有一個全新且極具威力的工具可供使用。
作者簡介
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.
作者簡介(中文翻譯)
Nicholas G. Cogan 是佛羅里達州立大學的數學教授。他在本科時期開始研究數學生物學，並在猶他大學獲得了詹姆斯·P·基納（James P. Keener）指導的博士學位。他經常與微生物學家、環境工程師、臨床醫生及其他數學以外的科學家合作。他在本科教學方面已有二十年的經驗，研究重點是生命科學中的數學建模。他是超過五十篇將數學應用於生物學的文章的作者。
