Modeling Life : The Mathematics of Biological Systems. 1st ed. 2017

種類:

電子ブック

責任表示:

by Alan Garfinkel, Jane Shevtsov, Yina Guo

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Garfinkel, Alan.
• Shevtsov, Jane.
• Guo, Yina.
• SpringerLink (Online service)

ISBN:

9783319597317 [3319597310]    

注記:

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 th

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