The book "Mathematical Physiology" by James Keener and James Sneyd explores the application of mathematical models to understand physiological processes. It is part of the Interdisciplinary Applied Mathematics series, which aims to bridge the gap between mathematics and other scientific disciplines. The book is not a physiology textbook or a mathematics textbook, but rather a resource that shows how mathematics can be used to gain insight into physiological questions and how physiological problems can lead to new mathematical challenges.
The book is divided into two parts: Cellular Physiology and Systems Physiology. The first part covers fundamental principles of cell physiology, including biochemical reactions, cellular homeostasis, membrane ion channels, and excitability. It discusses topics such as calcium dynamics, bursting electrical activity, and intercellular communication. The second part focuses on organ physiology, covering the cardiovascular system, blood, muscle, hormones, and the kidneys, as well as the digestive, visual, and inner ear systems.
The book provides a comprehensive overview of the use of mathematical models in physiology, including differential equations, phase-plane analysis, bifurcation theory, and other mathematical techniques. It also includes exercises and references to help readers understand the material. The authors acknowledge that the book is not intended to be a complete physiology textbook, but rather an introduction to the field of mathematical physiology. They also note that the book is written for readers with a background in mathematics, and that some topics may be more advanced than others.
The authors emphasize that mathematical modeling is essential for understanding physiological processes, as it allows for the prediction of physiological behavior and the identification of key mechanisms. They also note that the field of mathematical physiology is still developing, and that there are many areas that have not yet been fully explored. The book aims to provide a foundation for further study in this interdisciplinary field.The book "Mathematical Physiology" by James Keener and James Sneyd explores the application of mathematical models to understand physiological processes. It is part of the Interdisciplinary Applied Mathematics series, which aims to bridge the gap between mathematics and other scientific disciplines. The book is not a physiology textbook or a mathematics textbook, but rather a resource that shows how mathematics can be used to gain insight into physiological questions and how physiological problems can lead to new mathematical challenges.
The book is divided into two parts: Cellular Physiology and Systems Physiology. The first part covers fundamental principles of cell physiology, including biochemical reactions, cellular homeostasis, membrane ion channels, and excitability. It discusses topics such as calcium dynamics, bursting electrical activity, and intercellular communication. The second part focuses on organ physiology, covering the cardiovascular system, blood, muscle, hormones, and the kidneys, as well as the digestive, visual, and inner ear systems.
The book provides a comprehensive overview of the use of mathematical models in physiology, including differential equations, phase-plane analysis, bifurcation theory, and other mathematical techniques. It also includes exercises and references to help readers understand the material. The authors acknowledge that the book is not intended to be a complete physiology textbook, but rather an introduction to the field of mathematical physiology. They also note that the book is written for readers with a background in mathematics, and that some topics may be more advanced than others.
The authors emphasize that mathematical modeling is essential for understanding physiological processes, as it allows for the prediction of physiological behavior and the identification of key mechanisms. They also note that the field of mathematical physiology is still developing, and that there are many areas that have not yet been fully explored. The book aims to provide a foundation for further study in this interdisciplinary field.