Modeling Differential Equations in Biology - 2nd Edition

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Paperback | 1 March 2008 | Edition Number 2

At a Glance

Paperback
526 Pages

Edition Type
Revised

Dimensions(cm)
25.4 x 17.78 x 2.69

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Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.

Industry Reviews

'Graduates of this course will be prepared to discuss the setup and structure of the underlying model, and to engage with the type of predictions that it can make. That's an admirable accomplishment for a book at this level! Moreover, equipping undergraduates with such a toolkit can open truly exciting doors for thinking about biology, a theme that runs throughout this text.' SIAM Review

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You Can Find This Book In

Non-Fiction Science Biology, Life Sciences Mathematics Applied Mathematics Mathematical Modelling Text Books

Introduction
Exponential Growth with Appendix on Taylor's Theorem
Introduction to Differential Equations
Stability in a One Component System
Systems of First Order Differential Equations
Phase Plane Analysis
Introduction to Vectors
Equilibrium in Two Component, Linear Systems
Stability in Non-Linear Systems
Non-linear Stability Again
Matrix Notation
Remarks about Australian Predators
Introduction to Advection
Diffusion Equations
Two Key Properties of the Advection and Diffusion Equations
The No Trawling Zone
Separation of Variables
The Diffusion Equation and Pattern Formation
Stability Criteria
Summary of Advection and Diffusion
Traveling Waves
Traveling Wave Velocities
Periodic Solutions
Fast and Slow
Estimating Elapsed Time
Switches
Testing for Periodicity
Causes of Chaos. Extra Exercises and Solutions
Index
Table of Contents provided by Publisher. All Rights Reserved.

Modeling Differential Equations in Biology - 2nd Edition

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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