Mathematical Biology: I. an Introduction

ISBN-13: 9781475777093 / Angielski / Miękka / 2013 / 553 str.

James D. Murray

Opis

Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Recenzje

Reviews of the original edition:

"Murray has produced a magnificent compilation of mathematical models and their applications in biology." Nature

"Murray's Mathematical Biology belongs on the shelf of any person with a serious interest in mathematical biology." Bulletin of Mathematical Biology

SIAM, 2004: "Murray's Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. ... I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics."

From the reviews of the third edition:

"Mathematical Biology would be eminently suitable as a text for a final year undergraduate or postgraduate course in mathematical biology ... . It is also a good source of examples for courses in mathematical methods ... . Mathematical Biology provides a good way in to the field and a useful reference for those of us already there. It may attract more mathematicians to work in biology by showing them that there is real work to be done." (Peter Saunders, The Mathematical Gazette, Vol. 90 (519), 2006)

Spis treści

Continuous Population Models for Single Species * Discrete Population Models for a Single Species * Models for Interacting Populations * Temperature-Dependent Sex Determination (TSD): Crocodilian Survivorship * Modelling the Dynamics of Marital Interaction: Divorce Prediction and Marriage Repair * Reaction Kinetics * Biological Oscillators and Switches * BZ Oscillating Reactions * Perturbed and Coupled Oscillators and Black Holes * Dynamics of Infectious Diseases: Epidemic Models and AIDS * Reaction Diffusion, Chemotaxis, and Non-local Mechanisms * Oscillator Generated Wave Phenomena and Central Pattern Generators * Biological Waves: Single Species Models * Use and Abuse of Fractals