An Introduction to Mathematical Biology

ISBN-13: 9780387952239 / Angielski / Twarda / 2002 / 584 str.

J.D. Murray

Opis

It has been over a decade since the release of the now classic original edition of Murray's Mathematical Biology. Since then mathematical biology has grown at an astonishing rate and is well established as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biomedical sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems that arise in biology and gives some indication of the wide spectrum of questions that modeling can address. Due to the tremendous development in the field this book is being published in two volumes. This first volume is an introduction to the field, the mathematics mainly involves ordinary differential equations that are suitable for undergraduate and graduate courses at different levels. For this new edition Murray is covering certain items in depth, giving new applications such as modeling marital interactions and temperature dependence sex determination. 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."

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