1998 | J.E. Marsden, L. Sirovich, S. Wiggins, L. Glass, J.D. Murray, S.S. Antman, R.V. Kohn, S.S. Sastry, P.S. Krishnaprasad
The book "Mathematical Physiology" by James Keener and James Sneyd, published as part of the *Interdisciplinary Applied Mathematics* series, aims to bridge the gap between mathematics and physiology. It emphasizes the importance of mathematical models in understanding physiological processes, which has been increasingly recognized in recent years. The authors highlight that teaching physiology without a mathematical framework is akin to teaching planetary motion without Kepler's laws.
The book is divided into two main parts: Cellular Physiology and Systems Physiology. The first part covers fundamental principles such as biochemical reactions, cellular homeostasis, membrane ion channels, excitability, calcium dynamics, and intercellular communication. It also includes detailed discussions on nonlinear wave propagation and spatial aspects like synaptic transmission and calcium waves.
The second part delves into organ physiology, starting with electrocardiology and the circulatory system, followed by discussions on blood, respiration, muscle, hormones, and the kidneys. It also explores the digestive system, visual system, and the inner ear. Each chapter includes exercises to reinforce the concepts discussed.
The authors acknowledge the contributions of many researchers and reviewers who have influenced their work and express gratitude to their families and colleagues. They also provide a list of references and an index for further study. The book is designed to be used as a textbook for a full-year course in mathematical physiology or as a supplement to other courses in applied mathematics, bioengineering, or physiology.The book "Mathematical Physiology" by James Keener and James Sneyd, published as part of the *Interdisciplinary Applied Mathematics* series, aims to bridge the gap between mathematics and physiology. It emphasizes the importance of mathematical models in understanding physiological processes, which has been increasingly recognized in recent years. The authors highlight that teaching physiology without a mathematical framework is akin to teaching planetary motion without Kepler's laws.
The book is divided into two main parts: Cellular Physiology and Systems Physiology. The first part covers fundamental principles such as biochemical reactions, cellular homeostasis, membrane ion channels, excitability, calcium dynamics, and intercellular communication. It also includes detailed discussions on nonlinear wave propagation and spatial aspects like synaptic transmission and calcium waves.
The second part delves into organ physiology, starting with electrocardiology and the circulatory system, followed by discussions on blood, respiration, muscle, hormones, and the kidneys. It also explores the digestive system, visual system, and the inner ear. Each chapter includes exercises to reinforce the concepts discussed.
The authors acknowledge the contributions of many researchers and reviewers who have influenced their work and express gratitude to their families and colleagues. They also provide a list of references and an index for further study. The book is designed to be used as a textbook for a full-year course in mathematical physiology or as a supplement to other courses in applied mathematics, bioengineering, or physiology.