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Interdisciplinary Applied Mathematics #8: Mathematical Physiologyby James P Keener
Synopses & ReviewsPublisher Comments:Mathematical Physiology provides an introduction into physiology using the tools and perspectives of mathematical modeling and analysis. It describes ways in which mathematical theory may be used to give insights into physiological questions and how physiological questions can in turn lead to new mathematical problems.The book is divided in two parts, the first dealing with the fundamental principles of cell physiology, and the second with the physiology of systems. In the first part, after an introduction to basic biochemistry and enzyme reactions, the authors discuss volume control, the membrane potential, ionic flow through channels, excitability, calcium dynamics, and electrical bursting. This first part concludes with spatial aspects such as synaptic transmission, gap junctions, the linear cable equation, nonlinear wave propagation in neurons, and calcium waves. In the second part, the human body is studied piece by piece, beginning with an introduction to electrocardiology, followed by the physiology of the circulatory system, blood muscle, hormones, and kindeys. Finally, the authors examine the digestive system and the visual system, ending with the inner ear. This book will be of interest to researchers, to graduate students and advanced undergraduate students in applied mathematics who wish to learn how to build and analyze mathematical models and become familiar with new areas of applications, as well as to physiologists interested in learning about theoretical approaches to their work. Mathematical Reviews, 2000: "This is neither a physiology book nor a mathematics book, but it is probably the best book ever written on the interdisciplinary field of mathematical physiology, i.e. mathematics applied to modelling physiological phenomena. The book is highly recommended to anybody interested in mathematical or theoretical physiology."
Synopsis:This work is an overview of mathematical physiology. It contains a variety of physiological problems and the current and new mathematical techniques used in this area. It should be of interest both to applied mathematicians and quantitative physiologists.
Synopsis:The application of mathematical models to medical physiology is a rapidly growing research area. This book presents an overview of the basic theory, as well as new mathematical techniques used to quantitatively assess physiological problems. The comprehensive coverage of mathematical physiology includes topics ranging from biochemical reactions and cellular homeostasis to the mathematical modeling of physiological systems such as the immune, respiratory, and circulatory systems.
Table of ContentsPreface I Cellular Physiology 1 Biochemical Reactions 2 Cellular Homeostasis 3 Membrane Ion Channels 4 Excitability 5 Calcium Dynamics 6 Bursting Electrical Activity 7 Intercellular Communication 8 Passive Electrical Flow in Neurons 9 Nonlinear Wave Propagation 10 Wave Propagation in Higher Dimensions 11 Cardiac Propagation 12 Calcium Waves 13 Regulation of Cell Function II Systems Physiology 14 Cardiac Rhythmicity 15 The Circulatory System 16 Blood 17 Respiration 18 Muscle 19 Hormone Physiology 20 Renal Physiology 21 The Gastrointestinal System 22 The Retina and Vision 23 The Inner Ear Appendix References Index
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