There has been a long history of interaction between mathematics
and physiology. This book looks in detail at a wide selection of
mathematical models in physiology, showing how physiological
problems can be formulated and studied mathematically, and how such
models give rise to interesting and challenging mathematical
questions. With its coverage of many recent models it gives an
overview of the field, while many older models are also discussed,
to put the modern work in context.
In this second edition the coverage of basic principles has been
expanded to include such topics as stochastic differential
equations, Markov models and Gibbs free energy, and the selection
of models has also been expanded to include some of the basic
models of fluid transport, respiration/perfusion, blood diseases,
molecular motors, smooth muscle, neuroendrocine cells, the
baroreceptor loop, turboglomerular oscillations, blood clotting and
the retina.
Owing to this extensive coverage, the seond edition is published
in two volumes. This first volume deals with the fundamental
principles of cell physiology and the second with the physiology of
systems.
The book includes detailed illustrations and numerous excercises
with selected solutions. The emphasis throughout is on the
applications; because of this interdisciplinary approach, this book
will be of interest to students and researchers, not only in
mathematics, but also in bioengineering, physics, chemistry,
biology, statistics and medicine.
Reviews of the first edition:
a oe...probably the best book ever written on the
interdisciplinary field of mathematical physiology.a Mathematical
Reviews, 2000
a oeIn addition to being good reading, excellent pedagogy, and
appealing science, the exposition is lucid and clear, and there are
many good problem sets to choose from... Highly recommended.a
Mathematical Biosciences, 1999
a oeBoth authors are seasoned experts in the field of
mathematical physiology and particularly in the field of
excitability, calcium dynamics and spiral waves. It directs
students to become not merely skilled technicians in biological
research but masters of the science.a SIAM, 2004
The first edition was the winner of the prize for The Best
Mathematics book of 1998 from the American Association of
Publishers.
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