Modeling Dynamic Phenomena in Molecular and Cellular Biology

ISBN-10: 052127477X

ISBN-13: 9780521274777

Edition: 1984

Authors: Lee A. Segel
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Description: The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.

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Book details

List price: $72.00
Copyright year: 1984
Publisher: Cambridge University Press
Publication date: 3/30/1984
Binding: Paperback
Pages: 324
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.144
Language: English

Lee A. Segel (1932-2005) was a Professor at the Weizmann Institute of Science, Rehovot, Israel, where he served as Chairman of Applied Mathematics, Dean of Mathematical Sciences and Chairman of the Scientific Council. He was an Ulam Scholar at the Los Alamos National Laboratory, a Fellow of the American Association for the Advancement of Science and a member of the Santa Fe Institute, where he continued his work on complex adaptive systems. He served as editor or editorial board member of six journals.

Preface
Note to the instructor
Conventions and notations
Optimal strategies for the metabolism of storage materials
Recursion relations in ecological and cellular population dynamics
Population genetics: separate generations
Enzyme kinetics
The chemostat
A model of the cellular slime mold cAMP signaling system
Diffusion
Developmental pattern formation and stability theory
A mechanical basis for morphogenesis
Mathematical appendixes
Hints and answers for selected exercises
References
Index
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