Mathematical Aspects Of Physiology

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Mathematical Physiology

Author : James Keener
Publisher : Springer Science & Business Media
ISBN 13 : 038775847X
Total Pages : 1067 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2010-06-04 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Modeling and Validation in Physiology

Author : Jerry J. Batzel
Publisher : Springer
ISBN 13 : 3642328822
Total Pages : 270 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mathematical Modeling and Validation in Physiology by : Jerry J. Batzel

Download or read book Mathematical Modeling and Validation in Physiology written by Jerry J. Batzel and published by Springer. This book was released on 2012-12-14 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen
Publisher : SIAM
ISBN 13 : 9780898718287
Total Pages : 311 pages
Book Rating : 4.7/5 (182 download)

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Book Synopsis Applied Mathematical Models in Human Physiology by : Johnny T. Ottesen

Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen and published by SIAM. This book was released on 2004-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Mathematical Physiology and Biology

Author : J. Mazumdar
Publisher : Cambridge University Press
ISBN 13 : 9780521646758
Total Pages : 244 pages
Book Rating : 4.6/5 (467 download)

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Book Synopsis An Introduction to Mathematical Physiology and Biology by : J. Mazumdar

Download or read book An Introduction to Mathematical Physiology and Biology written by J. Mazumdar and published by Cambridge University Press. This book was released on 1999-08-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.

Mathematical and Computational Methods in Physiology

Author : L. Fedina
Publisher : Elsevier
ISBN 13 : 1483190226
Total Pages : 352 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mathematical and Computational Methods in Physiology by : L. Fedina

Download or read book Mathematical and Computational Methods in Physiology written by L. Fedina and published by Elsevier. This book was released on 2013-10-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Physiology

Author : James B Bassingthwaighte
Publisher : Springer
ISBN 13 : 1461475724
Total Pages : 371 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal Physiology by : James B Bassingthwaighte

Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli
Publisher : Elsevier
ISBN 13 : 0080559980
Total Pages : 337 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Introduction to Modeling in Physiology and Medicine by : Claudio Cobelli

Download or read book Introduction to Modeling in Physiology and Medicine written by Claudio Cobelli and published by Elsevier. This book was released on 2008-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Modeling in Renal Physiology

Author : Anita T. Layton
Publisher : Springer
ISBN 13 : 364227367X
Total Pages : 225 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Modeling in Renal Physiology by : Anita T. Layton

Download or read book Mathematical Modeling in Renal Physiology written by Anita T. Layton and published by Springer. This book was released on 2014-08-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Aspects of Physiology

Author : F. C. Hoppensteadt
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Aspects of Physiology by : F. C. Hoppensteadt

Download or read book Mathematical Aspects of Physiology written by F. C. Hoppensteadt and published by . This book was released on 1981 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Physiology

Author : James Keener
Publisher : Springer Science & Business Media
ISBN 13 : 0387793887
Total Pages : 601 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2009-01-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Dynamics in Physiology and Medicine

Author : Anne Beuter
Publisher : Springer Science & Business Media
ISBN 13 : 0387216405
Total Pages : 452 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonlinear Dynamics in Physiology and Medicine by : Anne Beuter

Download or read book Nonlinear Dynamics in Physiology and Medicine written by Anne Beuter and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces concepts from nonlinear dynamics using an almost exclusively biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and physiological systems. One novel feature of the book is the inclusion of classroom-tested computer exercises. This book will appeal to students and researchers working in the natural and physical sciences wanting to learn about physiological systems from a mathematical perspective.

Computational And Mathematical Methods In Cardiovascular Physiology

Author : Liang Zhong
Publisher : World Scientific
ISBN 13 : 9813270659
Total Pages : 458 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Computational And Mathematical Methods In Cardiovascular Physiology by : Liang Zhong

Download or read book Computational And Mathematical Methods In Cardiovascular Physiology written by Liang Zhong and published by World Scientific. This book was released on 2019-04-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cardiovascular diseases (CVD) including heart diseases, peripheral vascular disease and heart failure, account for one-third of deaths throughout the world. CVD risk factors include systolic blood pressure, total cholesterol, high-density lipoprotein cholesterol, and diabetic status. Clinical trials have demonstrated that when modifiable risk factors are treated and corrected, the chances of CVD occurring can be reduced. This illustrates the importance of this book's elaborate coverage of cardiovascular physiology by the application of mathematical and computational methods.This book has literally transformed Cardiovascular Physiology into a STEM discipline, involving (i) quantitative formulations of heart anatomy and physiology, (ii) technologies for imaging the heart and blood vessels, (iii) coronary stenosis hemodynamics measure by means of fractional flow reserve and intervention by grafting and stenting, (iv) fluid mechanics and computational analysis of blood flow in the heart, aorta and coronary arteries, and (v) design of heart valves, percutaneous valve stents, and ventricular assist devices.So how is this mathematically and computationally configured landscape going to impact cardiology and even cardiac surgery? We are now entering a new era of mathematical formulations of anatomy and physiology, leading to technological formulations of medical and surgical procedures towards more precise medicine and surgery. This will entail reformatting of (i) the medical MD curriculum and courses, so as to educate and train a new generation of physicians who are conversant with medical technologies for applying into clinical care, as well as (ii) structuring of MD-PhD (Computational Medicine and Surgery) Program, to train competent medical and surgical specialists in precision medical care and patient-specific surgical care.This book provides a gateway for this new emerging scenario of (i) science and engineering based medical educational curriculum, and (ii) technologically oriented medical and surgical procedures. As such, this book can be usefully employed as a textbook for courses in (i) cardiovascular physiology in both the schools of engineering and medicine of universities, as well as (ii) cardiovascular engineering in biomedical engineering departments worldwide.

Mathematical and Computer Modeling of Physiological Systems

Author : Vincent C. Rideout
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical and Computer Modeling of Physiological Systems by : Vincent C. Rideout

Download or read book Mathematical and Computer Modeling of Physiological Systems written by Vincent C. Rideout and published by . This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantitative Human Physiology

Author : Joseph J Feher
Publisher : Academic Press
ISBN 13 : 0128011548
Total Pages : 1023 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Quantitative Human Physiology by : Joseph J Feher

Download or read book Quantitative Human Physiology written by Joseph J Feher and published by Academic Press. This book was released on 2017-01-02 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Human Physiology: An Introduction, winner of a 2018 Textbook Excellence Award (Texty), is the first text to meet the needs of the undergraduate bioengineering student who is being exposed to physiology for the first time, but requires a more analytical/quantitative approach. This book explores how component behavior produces system behavior in physiological systems. Through text explanation, figures, and equations, it provides the engineering student with a basic understanding of physiological principles with an emphasis on quantitative aspects. - Winner of a 2018 Textbook Excellence Award (College) (Texty) from the Textbook and Academic Authors Association - Features a quantitative approach that includes physical and chemical principles - Provides a more integrated approach from first principles, integrating anatomy, molecular biology, biochemistry and physiology - Includes clinical applications relevant to the biomedical engineering student (TENS, cochlear implants, blood substitutes, etc.) - Integrates labs and problem sets to provide opportunities for practice and assessment throughout the course NEW FOR THE SECOND EDITION - Expansion of many sections to include relevant information - Addition of many new figures and re-drawing of other figures to update understanding and clarify difficult areas - Substantial updating of the text to reflect newer research results - Addition of several new appendices including statistics, nomenclature of transport carriers, and structural biology of important items such as the neuromuscular junction and calcium release unit - Addition of new problems within the problem sets - Addition of commentary to power point presentations

Quantitative Physiology

Author : Shangbin Chen
Publisher : Springer Nature
ISBN 13 : 9813340339
Total Pages : 246 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Quantitative Physiology by : Shangbin Chen

Download or read book Quantitative Physiology written by Shangbin Chen and published by Springer Nature. This book was released on 2021-02-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stephen Hawking says that the 21st century will be the century of complexity and indeed now systems biology or medicine means dealing with complexity. Both the genome and physiome have emerged in studying complex physiological systems. Computational and mathematical modeling has been regarded as an efficient tool to boost the understanding about living systems in normal or pathophysiological states. Covering applied methodology, basic case studies and complex applications, this volume provides researchers with an overview of modeling and computational studies of physiology (i.e. quantitative physiology), which is becoming an increasingly important branch of systems biology. This book aims to build multi-scale models to investigate functions in living systems and explain how biomolecules, cells, organs, organ systems and organisms carry out the chemical or physical functions. Some of the models addressed are related to gene expression, calcium signalling, neural activity, blood dynamics and bone mechanics. Combining theory and practice, with extensive use of MATLAB, this book is designed to establish a paradigm for quantitative physiology by integrating biology, mathematics, physics and informatics etc. To benefit from this book, the readers are expected to have a background in general physiology and mathematics

Nonlinear Dynamics in Physiology

Author : Mark Shelhamer
Publisher : World Scientific
ISBN 13 : 9812700293
Total Pages : 367 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Nonlinear Dynamics in Physiology by : Mark Shelhamer

Download or read book Nonlinear Dynamics in Physiology written by Mark Shelhamer and published by World Scientific. This book was released on 2007 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.

Space and Geometry

Author : Ernst Mach
Publisher : Courier Corporation
ISBN 13 : 0486439097
Total Pages : 162 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Space and Geometry by : Ernst Mach

Download or read book Space and Geometry written by Ernst Mach and published by Courier Corporation. This book was released on 2004-09-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: These three essays by an eminent scientist explore the nature, origin, and development of our concepts of space from the points of view of the senses, history, and physics. They examine the subject from every direction, in a manner suitable for both undergraduates and other readers. 25 figures.1906 edition.