Modeling Life

The Mathematics of Biological Systems

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied, Science
Cover of the book Modeling Life by Alan Garfinkel, Jane Shevtsov, Yina Guo, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alan Garfinkel, Jane Shevtsov, Yina Guo ISBN: 9783319597317
Publisher: Springer International Publishing Publication: September 6, 2017
Imprint: Springer Language: English
Author: Alan Garfinkel, Jane Shevtsov, Yina Guo
ISBN: 9783319597317
Publisher: Springer International Publishing
Publication: September 6, 2017
Imprint: Springer
Language: English

This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions.

Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking.

Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions.

Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking.

Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

More books from Springer International Publishing

Cover of the book Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Street Art of Resistance by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Reducing Mortality in Critically Ill Patients by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Intercultural Communication and Science and Technology Studies by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Smart Cities, Green Technologies, and Intelligent Transport Systems by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Quantitative Evaluation of Systems by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Computer Vision Systems by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Redefining Risk & Return by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Psychosyntax by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book The World of Open Data by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Debating Collaboration and Complicity in War Crimes Trials in Asia, 1945-1956 by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Clinical Pharmacology: Current Topics and Case Studies by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Pattern Recognition Applications and Methods by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Progress in Life Cycle Assessment by Alan Garfinkel, Jane Shevtsov, Yina Guo
Cover of the book Turing’s Revolution by Alan Garfinkel, Jane Shevtsov, Yina Guo
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy