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Modeling lifethe mathematics of biol...

Garfinkel, Alan.

Modeling lifethe mathematics of biological systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modeling lifeby Alan Garfinkel, Jane Shevtsov, Yina Guo.
其他題名:	the mathematics of biological systems /
作者:	Garfinkel, Alan.
其他作者:	Shevtsov, Jane.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xv, 445 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	BiologyMathematical models.
電子資源:	http://dx.doi.org/10.1007/978-3-319-59731-7
ISBN:	9783319597317$q(electronic bk.)

Modeling lifethe mathematics of biological systems /
Garfinkel, Alan.

Modeling lifethe mathematics of biological systems /[electronic resource] :by Alan Garfinkel, Jane Shevtsov, Yina Guo. - Cham :Springer International Publishing :2017. - xv, 445 p. :ill. (some col.), digital ;24 cm.

1. Modeling, Change, and Simulation -- 2. Derivatives and Integrals -- 3. Equilibrium Behavior -- 4. Non-Equilibrium Dynamics: Oscillation -- 5. Chaos -- 6. Linear Algebra -- 7. Multivariable Systems -- Bibliography -- Index.

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

ISBN: 9783319597317$q(electronic bk.)

Standard No.: 10.1007/978-3-319-59731-7doiSubjects--Topical Terms:

206136
Biology
--Mathematical models.

LC Class. No.: QH323.5

Dewey Class. No.: 570.15118

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