×

Mathematical models in biology. (English) Zbl 1100.92001

Classics in Applied Mathematics 46. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-554-7/pbk). xliii, 586 p. (2005).
This SIAM edition in the Classics in Applied Mathematics series is an unabridged republication of the original book which appeared in 1988, see the review Zbl 0674.92001, but has been out of print for some time. In addition, it contains a list of errata and a guide to more recent literature. The book itself consists of three major parts: I. Discrete processes in biology; II. Continuous processes and ordinary differential equations; III. Spatially distributed systems and partial differential equation models. The unifying concept in this book are mathematical methods and tools, i.e., the theories of difference, ordinary differential, and partial differential equations. Mathematical concepts are introduced step by step, always with a concrete biological model at hand. The usefulness of these concepts is demonstrated by applying them to different biological problems. Most applications are taken from population biology, physiology, molecular and cellular biology.
As a mathematical prerequisite, only good knowledge of calculus is required, all other concepts are introduced when they are needed. Thus, this book is well suited for both undergraduates and graduates in mathematics, who want to learn about interesting and important applications, as well as for biology students with a reasonably firm mathematical background. Many illustrations and exercises, in part with solutions, complement the text and make it a very useful textbook.

MSC:

92B05 General biology and biomathematics
92-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology

Citations:

Zbl 0674.92001
PDFBibTeX XMLCite