Mathematical Physiology

Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 54,8 Mb
Release : 2010-06-04
Category : Mathematics
ISBN : 9780387758473

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Mathematical Physiology by James Keener,James Sneyd Pdf

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

Author : J. H. M. Thornley
Publisher : Unknown
Page : 344 pages
File Size : 55,9 Mb
Release : 1976
Category : Mathematical models
ISBN : UCSD:31822012099016

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Mathematical Models in Plant Physiology by J. H. M. Thornley Pdf

Ideas and basic techniques; Some topics of general physiological importance; Light interception by plants and crops; Photosynthesis; Growth, energy, and respiration.

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 51,8 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Author : Anita T. Layton,Aurelie Edwards
Publisher : Springer
Page : 225 pages
File Size : 53,5 Mb
Release : 2014-08-06
Category : Mathematics
ISBN : 9783642273674

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Mathematical Modeling in Renal Physiology by Anita T. Layton,Aurelie Edwards Pdf

With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. This comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney physiology, including clinical data analysis and practice exercises. Basic concepts and modeling techniques introduced in this volume can be applied to other areas (or organs) of physiology. The models presented describe the main homeostatic functions performed by the kidney, including blood filtration, excretion of water and salt, maintenance of electrolyte balance and regulation of blood pressure. Each chapter includes an introduction to the basic relevant physiology, a derivation of the essential conservation equations and then a discussion of a series of mathematical models, with increasing level of complexity. This volume will be of interest to biological and mathematical scientists, as well as physiologists and nephrologists, who would like an introduction to mathematical techniques that can be applied to renal transport and function. The material is written for students who have had college-level calculus, but can be used in modeling courses in applied mathematics at all levels through early graduate courses.

Author : J. Mazumdar
Publisher : Cambridge University Press
Page : 244 pages
File Size : 43,9 Mb
Release : 1999-08-19
Category : Mathematics
ISBN : 0521646758

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An Introduction to Mathematical Physiology and Biology by J. Mazumdar Pdf

A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.

Author : James Sneyd,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 196 pages
File Size : 41,8 Mb
Release : 2024-04-28
Category : Medical
ISBN : 0821867644

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An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology by James Sneyd,American Mathematical Society Pdf

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done,what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Page : 767 pages
File Size : 54,7 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387227061

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Mathematical Physiology by James Keener,James Sneyd Pdf

Divided into two parts, 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.

Author : Jerry J. Batzel,Mostafa Bachar,Franz Kappel
Publisher : Springer
Page : 254 pages
File Size : 54,9 Mb
Release : 2012-12-14
Category : Mathematics
ISBN : 9783642328824

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Mathematical Modeling and Validation in Physiology by Jerry J. Batzel,Mostafa Bachar,Franz Kappel Pdf

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.

Author : Robert M. Miura
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 43,6 Mb
Release : 1986-12-31
Category : Science
ISBN : 0821897101

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Some Mathematical Questions in Biology--muscle Physiology by Robert M. Miura Pdf

Currently the outstanding problem in muscle contraction is determining the mechanism for the sliding of actin and myosin filaments. This volume contains papers based on lectures presented at the Seventeenth Annual Symposium on Some Mathematical Questions in Biology which was held in conjunction with the Annual Meeting of the AAAS. The six papers deal with overlapping areas of muscle physiology: cross-bridge dynamics (the mechanism currently receiving most attention), as well as distinctions between striated and cardiac muscles and the control of muscular contractions by action potentials. Focusing on both experimental techniques and theoretical underpinnings, the authors present the recent technological advances that provide an improved database for obtaining a better understanding of the biochemical mechanics and developing better mathematical models. In the first article Dr. Hugh E. Huxley reviews current studies of muscle systems which use X-ray diffraction and electron-microscopic analysis. Dr. Even Eisenberg describes how ATP hydrolysis drives muscle contraction via the action of myosin cross-bridges. The next two papers contain mathematical studies of muscle contraction. Dr. Michael Propp uses a thermodynamic formalism to predict the physiological properties of muscle. Drs. H. Michael Lacker and Charles S. Peskin develop a mathematical method for working backwards to determine uniquely microscopic properties of the cross-bridges. Drs. John W. Krueger and Katsuhiko Tsujioka use light diffraction observations to develop a quantitative understanding of cardiac function from properties of the myofibril and elements of the cross-bridge cycle. In the concluding paper, Dr. Robert S. Eisenberg reviews the current work on the electrical control mechanisms in excitation-contraction coupling which lead to muscle contraction.

Author : Piero Colli Franzone,Luca Franco Pavarino,Simone Scacchi
Publisher : Springer
Page : 397 pages
File Size : 54,7 Mb
Release : 2014-10-30
Category : Mathematics
ISBN : 9783319048017

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Mathematical Cardiac Electrophysiology by Piero Colli Franzone,Luca Franco Pavarino,Simone Scacchi Pdf

This book covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal models and cardiac source representations. These advanced multiscale and nonlinear models describe the cardiac bioelectrical activity from the cell level to the body surface and are employed in both the direct and inverse problems of electrocardiology. The book also covers advanced numerical techniques needed to efficiently carry out large-scale cardiac simulations, including time and space discretizations, decoupling and operator splitting techniques, parallel finite element solvers. These techniques are employed in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic effects on excitation and repolarization wavefronts, the morphology of electrograms in normal and pathological tissue and some reentry phenomena. The overall aim of the book is to present rigorously the mathematical and numerical foundations of computational electrocardiology, illustrating the current research developments in this fast-growing field lying at the intersection of mathematical physiology, bioengineering and computational biomedicine. This book is addressed to graduate student and researchers in the field of applied mathematics, scientific computing, bioengineering, electrophysiology and cardiology.

Author : James Keener,James Sneyd
Publisher : Springer
Page : 0 pages
File Size : 47,9 Mb
Release : 2008-10-27
Category : Mathematics
ISBN : 0387758461

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Mathematical Physiology by James Keener,James Sneyd Pdf

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

Author : Claudio Cobelli,Ewart Carson
Publisher : Elsevier
Page : 337 pages
File Size : 55,8 Mb
Release : 2008-02-06
Category : Technology & Engineering
ISBN : 9780080559988

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Introduction to Modeling in Physiology and Medicine by Claudio Cobelli,Ewart Carson Pdf

This unified modeling textbook for students of biomedical engineering provides a complete course text on the foundations, theory and practice of modeling and simulation in physiology and medicine. It is dedicated to the needs of biomedical engineering and clinical students, supported by applied BME applications and examples. Developed for biomedical engineering and related courses: speaks to BME students at a level and in a language appropriate to their needs, with an interdisciplinary clinical/engineering approach, quantitative basis, and many applied examples to enhance learning Delivers a quantitative approach to modeling and also covers simulation: the perfect foundation text for studies across BME and medicine Extensive case studies and engineering applications from BME, plus end-of-chapter exercises

Author : L. Fedina,B. Kanyár,B. Kocsis
Publisher : Elsevier
Page : 352 pages
File Size : 54,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483190228

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Mathematical and Computational Methods in Physiology by L. Fedina,B. Kanyár,B. Kocsis Pdf

Mathematical and Computational Methods in Physiology discusses the importance of quantitative description of physiological phenomena and for quantitative comparison of experimental data. An article explains the homeostasis of the body with a focus on the controlling aspects. This section evaluates the concepts of modern physiology and biocybernetics. The canal-ocular reflex and the otolith-ocular reflex in man stimulates eye rotations compensatory for head angular and linear displacements. The book enumerates some modelling and simulation to observe the visual-vestibular interaction during angular and linear body acceleration. A section on the determination of cardiovascular control is given. The text reviews the mathematical models of the biological age of the rat. A numerical simulation of water transport in epithelial junctions is explained comprehensively. A chapter analyzing the computer simulation of drug-receptor interaction is presented. The book will provide useful information to zoologists, doctors, ophthalmologists, students and researchers in the field of medicine.

Author : Zdenek Deyl
Publisher : CRC Press
Page : 617 pages
File Size : 42,9 Mb
Release : 2019-08-08
Category : Medical
ISBN : 9781351091374

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Methods In Animal Physiology by Zdenek Deyl Pdf

The aim of the present volume was to give an overview over different available methodological approaches. The specialists may, perhaps, object that in their particular field the level of information is superficial. However, let them look at other chapters in which different approaches are discussed and which, surely, will appear less superficial from the more general point of view. We hope, at least, that crucial references can be traced throughout the book that would enable the readers to go in more detail when desired. It can be traced throughout the book that would enable the readers to go in more detail when desired. It was really one of our ideas to draw the survey of possibilities available. If this can stimulate the readers to use ideas to draw the survey of possibilities available. If this can stimulate the readers to use other methods that those they are routinely using the goals will be met.

Author : F. C. Hoppensteadt
Publisher : Unknown
Page : 408 pages
File Size : 50,9 Mb
Release : 1981
Category : Medical
ISBN : STANFORD:36105031960763

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Mathematical Aspects of Physiology by F. C. Hoppensteadt Pdf