Mathematical physiology keener james sneyd james
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A Mathematical Model of the Effects of Anoctamin-1 Loss on Intestinal Slow Wave Entrainment. 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. The discussion of the light reflex mechanism is very interesting as the authors use linear stability 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. 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. 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.

Mathematical Reviews, 2000 In 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. That's a good question, and I'm glad you asked. Part two of the book emphasizes the mathematical modeling of the biological systems, rather than at the cellular level. The new edition includes updated descriptions, new models, and new figures adding to the breadth of the first edition. 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. The Journal of physiology, 595 10 , 3129-3141. Keener and Sneyd have made very reasonable choices in their subject selections.

The book includes detailed illustrations and numerous excercises with selected solutions. 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. Proceedings of the National Academy of Sciences of the United States of America, 114 7 , 1456-1461. This is followed by a lengthy and fascinating discussion of the mathematics of the circulatory system. James Sneyd is the Professor of Applied Mathematics at the University of Auckland in New Zealand, where he has worked for the past six years. Unfortunately, the discussion on the dangers of high blood pressure is not justified by any mathematical models in the book.

Mathematical models of the G1 and G2 checkpoint processes are given. 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. Mathematical physiology, with the consequent number of exercises given at the end of each chapter, could be used in particular for a full-year course in mathematical physiology. 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. In calculating the effective diffusion coefficients, the authors introduce the technique of homogenization, and give a explanation of the rationale behind the technique. 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.

The mathematical models of the kidneys and gastrointestinal systems are very detailed and very enlightening for individuals not in these fields. 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. This -related article is a. 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. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. 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. It directs students to become not merely skilled technicians in biological research but masters of the science.

The oscillations of the basilar membrane in the inner ear are good reading for the physicist. The Hodgkin-Huxley and the FitzHugh-Nagumo equations dominate the next chapter on electrical signaling in cells. Why does intracellular calcium oscillate? 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. The strategy of determining the behavior at a particular scale without solving completely the details at a finer scale is one that has proven to be quite productive, especially in physics. Applications of the diffusion equation follow in the next chapter on cellular homeostasis. It is designed as a course resource for beginning graduate students who have … some mathematical background.

Sequential pattern formation in the cerebellar granular layer. One of the most interesting subjects of the book is treated in Chapter 13 on cell function regulation. 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. Owing to this extensive coverage, the second edition is published in two volumes. He lives with his wife and three children beside a beach, and would rather be swimming. 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 authors quote some very old references on the experimental verification of the quantal model, leaving the reader wondering if more modern experiments have been done.

This is the first time in the book that probabilistic methods are introduced into the modeling. Phase space analysis is used extensively in the next chapter on electrical bursting, with emphasis on bursting in pancreatic beta-cells. 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. The fascinating subject of cardiac propagation is the subject of Chapter 11. Writing a book like this is an audacious act! The next chapters discuss physiology of the blood, respiration, and muscles. Describes ways in which mathematical theory may be used to give insights into physiological questions. For those actively working in the field of mathematical physiology.

Modeling calcium waves in an anatomically accurate three-dimensional parotid acinar cell. It directs students to become not merely skilled technicians in biological research but masters of the science. 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. Finally, the authors examine the digestive system and the visual system, ending with the inner ear. Wave propagation in higher dimensions is the subject of the next chapter, with spiral waves discussed along with a brief discussion of scroll waves. The mathematical techniques are not much more complicated, but mathematicians coming to cardiac biology for the first time will need to pay attention to the details.