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Other titles in the Chapman & Hall/CRC Mathematical and Computational Biology series:
Differential Equations and Mathematical Biology, Second Editionby Douglas Samuel Jones
Synopses & Reviews
Deepen students? understanding of biological phenomena
Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.
New to the Second Edition
This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincar? phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator?prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases.
Book News Annotation:
A textbook for undergraduate students of mathematics and the physical and biological sciences explains the use of mathematics as a tool or modeling and understanding biological phenomena, especially how mathematicians have honed the theory of nonlinear differential equations in response to gauntlets biologists have thrown down before them. Among the topics are linear ordinary differential equations with constant coefficients, the mathematics of heart physiology, chemical reactions, predator and prey, evolutionary equations, bifurcation and chaos, the growth of tumors, and epidemics. Answers are provided for selected exercises. The first CRC edition was published in 2003, but the original edition was published in 1983 by Allen and Unwin. This one accounts for the experience of many courses in mathematical and systems biology now being taught. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)
This second edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.
This second edition of a bestseller introduces the fundamental modeling and analytical techniques required to deepen understanding of biological phenomena. Keeping the successful format of the previous edition, it is still a dual purpose text suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology. The new edition includes a section on spiral waves, recent developments in tumor biology, and more significantly, covers much more of the numerical solutions of different equations and numerical bifurcation analysis. It contains many more examples and exercises and all MATLAB files found in the book are available for download.
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