Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing.

New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included.

Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Since Brevard Childs first introduced it as a "fresh approach" in the late 1960s, canonical exegesis has grown into a widely discussed and developed program-virtually a "school" of biblical interpretation-with many scholars carrying forward an approach to theological exegesis that emphasizes the role of canon as the central context for interpretation of the Christian Scriptures. In this study, Keener takes a twofold approach: (1) he demonstrates that a canonical exegesis is tenable if the task is approached with clarity regarding its core theological foundation; and (2) he applies the approach to the interpretation of the often thorny questions surrounding the understanding of Psalm 8. This is useful in that Psalm 8 touches upon several questions germane to the successful implementation of canonical exegesis due to the many intertextual connections it shares with the rest of the Bible. Keener concludes that Psalm 8 in the Old Testament represents the intersection of two trajectories: (1) the reversal motif in which YHWH maintains the created order through the exaltation of the weak and the humble; and (2) the motif of the conflicted and conflicting human, in which humans are shown as beset by trials, often failing and even occupying the role of the enemies of YHWH. A third trajectory becomes visible in the context of the New Testament, that of the redeeming Christ; this third trajectory intersects with the two Old Testament trajectories and makes possible the redemption of conflicted humanity, giving the ultimate answer to the psalmist's question, "What is the human?"

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.