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Author : J. Cronin
Publisher : CRC Press
ISBN 13 : 9780824711573
Total Pages : 146 pages
Book Rating : 4.7/5 (115 download)
Download or read book Mathematics of Cell Electrophysiology written by J. Cronin and published by CRC Press. This book was released on 1981-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Piero Colli Franzone
Publisher : Springer
ISBN 13 : 3319048015
Total Pages : 410 pages
Book Rating : 4.3/5 (19 download)
Download or read book Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and published by Springer. This book was released on 2014-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : V. Chudnovsky
Publisher : CRC Press
ISBN 13 : 1000117154
Total Pages : 425 pages
Book Rating : 4.0/5 (1 download)
Download or read book Computers in Mathematics written by V. Chudnovsky and published by CRC Press. This book was released on 2020-12-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,
Author : James Sneyd
Publisher : American Mathematical Soc.
ISBN 13 : 0821828169
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)
Download or read book An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology written by James Sneyd and published by American Mathematical Soc.. This book was released on 2002 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Aslak Tveito
Publisher : Springer Nature
ISBN 13 : 3030611574
Total Pages : 116 pages
Book Rating : 4.0/5 (36 download)
Download or read book Modeling Excitable Tissue written by Aslak Tveito and published by Springer Nature. This book was released on 2020-10-30 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.
Author : James Keener
Publisher : Springer Science & Business Media
ISBN 13 : 0387227067
Total Pages : 784 pages
Book Rating : 4.3/5 (872 download)
Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mark Noble
Publisher : World Scientific
ISBN 13 : 9811234965
Total Pages : 220 pages
Book Rating : 4.8/5 (112 download)
Download or read book Electromagnetism, Quanta, And Electron Flow In The Electrophysiology Of Living Cells written by Mark Noble and published by World Scientific. This book was released on 2021-08-24 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrons are involved in all electrical phenomena, and living cells cannot be an exception. This book takes on a decidedly different approach to existing texts on electrophysiology, by considering electrical physiological processes from the viewpoint of electron flow, rather than the conventional notion of ion movement. It concisely describes the theoretical background of electron density and cellular voltage, before exploring thought-provoking questions such as the relationship between electrolyte distribution and transmembrane potential, and the source of electricity generation in living cells. A new electromagnetic theory of muscular function is presented, and all topics of relevance — including the electrophysiology of invertebrates, plants, fungi and bacteria — are comprehensively covered. Using plain language and more than 40 original illustrations, the author has designed each chapter to provide a succinct overview of an individual topic in a format that appeals to both the expert and the uninitiated. Electromagnetism, Quanta, and Electron Flow in the Electrophysiology of Living Cells proffers a refreshingly new way to understand a fascinatingly old subject.
Author : David J. Christini
Publisher :
ISBN 13 : 9780750320641
Total Pages : 0 pages
Book Rating : 4.3/5 (26 download)
Download or read book Modeling and Simulating Cardiac Electrical Activity written by David J. Christini and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the topic of mathematical modeling of electrical activity in the heart, from molecular details of ionic channel dynamics to clinically derived patient-specific models. It discusses how cellular ionic models are formulated, introduces commonly used models and explains why there are so many different models available. The chapters cover modeling of the intracellular calcium handling that underlies cellular contraction as well as modeling molecular-level details of cardiac ion channels, and also focus on specialized topics such as cardiomyocyte energetics and signalling pathways. It is an excellent resource for experienced and specialised researchers in the field, but also biological scientists with a limited background in mathematical modelling and computational methods. Part of Biophysical Society-IOP series.
Author : Andrew Pullan
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106565
Total Pages : 442 pages
Book Rating : 4.8/5 (131 download)
Download or read book Mathematically Modelling The Electrical Activity Of The Heart: From Cell To Body Surface And Back Again written by Andrew Pullan and published by World Scientific Publishing Company. This book was released on 2005-09-07 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modelling the electrical activity of the heart is an attempt to describe continuum based modelling of cardiac electrical activity from the cell level to the body surface (the forward problem), and back again (the inverse problem). Background anatomy and physiology is covered briefly to provide a suitable context for understanding the detailed modelling that is presented herein. The questions of what is mathematical modelling and why one would want to use mathematical modelling are addressed to give some perspective to the philosophy behind our approach. Our view of mathematical modelling is broad — it is not simply about obtaining a solution to a set of mathematical equations, but includes some material on aspects such as experimental and clinical validation.
Author : Greg A. O'Beirne
Publisher : The University of Western Australia
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4./5 ( download)
Download or read book Mathematical modelling and electrophysiological monitoring of the regulation of cochlear amplification written by Greg A. O'Beirne and published by The University of Western Australia. This book was released on 2005-08-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cochlea presumably possesses a number of regulatory mechanisms to maintain cochlear sensitivity in the face of disturbances to its function. Evidence for such mechanisms can be found in the time-course of the recovery of CAP thresholds during experimental manipulations, and in observations of slow oscillations in cochlear micromechanics following exposure to low-frequency tones (the “bounce phenomenon”) and other perturbations. To increase our understanding of the these oscillatory processes within the cochlea, and OHCs in particular, investigations into cochlear regulation were carried out using a combination of mathematical modelling of the ionic and mechanical interactions likely to exist within the OHCs, and electrophysiological experiments conducted in guinea pigs. The electrophysiological experiments consisted of electrocochleographic recordings and, in some cases, measurement of otoacoustic emissions, during a variety of experimental perturbations, including the application of force to the cochlear wall, exposure to very-low-frequency tones, injection of direct current into scala tympani, and intracochlear perfusions of artificial perilymph containing altered concentrations of potassium, sodium, and sucrose. To obtain a panoramic view of cochlear regulation under these conditions, software was written to enable the interleaved and near-simultaneous measurement of multiple indicators of cochlear function, including the compound action potential (CAP) threshold, amplitude and waveshape at multiple frequencies, the OHC transfer curves derived from low-frequency cochlear microphonic (CM) waveforms, distortion-product otoacoustic emissions (DPOAEs), the spectrum of the round-window neural noise (SNN), and the endocochlear potential (EP). The mathematical model takes into account the known electrical properties of OHC, and includes the effect of fast and slow-motility of the cell body on transducer operating point and apical conductance. Central to the operation of the model is a putative intracellular 2nd-messenger system based on cytosolic calcium, which is involved in regulation of i) the operating point of OHC MET channels via slow motility and axial stiffness; ii) the permeability of the basolateral wall to potassium (via calcium-sensitive potassium channels); and iii) the cytosolic concentration of calcium itself, via modulation of its own sequestration into (and release from) intracellular storage organelles, and extrusion from the cell. The model was constructed in a manner which allowed simulation of different cochlear perturbations, and the comparison of results from these simulations to experimental data. The mathematical model we have developed provided a physiologically-plausible and internally-consistent explanation for the time-courses of the cochlear changes observed during a number of different perturbations. We show that much of the oscillatory behaviour within the cochlea is consistent with underlying oscillations in cytosolic calcium concentration. We conclude that a number of the discrepancies between the simulation results and the experimental data can be resolved if the cytosolic calcium functions as two distinct pools: one which controls basolateral permeability and one which controls slow motility. This two-calcium-pool model is discussed.
Author : Franklin Bretschneider
Publisher : Academic Press
ISBN 13 : 0128142111
Total Pages : 372 pages
Book Rating : 4.1/5 (281 download)
Download or read book Introduction to Electrophysiological Methods and Instrumentation written by Franklin Bretschneider and published by Academic Press. This book was released on 2018-11-13 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Electrophysiological Methods and Instrumentation, Second Edition covers all topics of interest to electrophysiologists, neuroscientists and neurophysiologists, from the reliable penetration of cells and the behavior and function of the equipment, to the mathematical tools available for analyzing data. It discusses the pros and cons of techniques and methods used in electrophysiology and how to avoid pitfalls. Although the basics of electrophysiological techniques remain the principal purpose of this second edition, it now integrates several current developments, including, amongst others, automated recording for high throughput screening and multimodal recordings to correlate electrical activity with other physiological parameters collected by optical means. This book provides the electrophysiologist with the tools needed to understand his or her equipment and how to acquire and analyze low-voltage biological signals. - Introduces possibilities and solutions, along with the problems, pitfalls, and artefacts of equipment and electrodes - Discusses the particulars of recording from brain tissue slices, oocytes and planar bilayers - Describes optical methods pertinent to electrophysiological practice - Presents the fundamentals of signal processing of analogue signals, spike trains and single channel recordings, along with procedures for signal recording and processing - Includes appendices on electrical safety and foundations of useful mathematical tools
Author : R. Costa
Publisher : CRC Press
ISBN 13 : 1482270463
Total Pages : 488 pages
Book Rating : 4.4/5 (822 download)
Download or read book NonasSociative Algebra and Its Applications written by R. Costa and published by CRC Press. This book was released on 2019-05-20 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Author : Gisele Ruiz Goldstein
Publisher : CRC Press
ISBN 13 : 1482275953
Total Pages : 439 pages
Book Rating : 4.4/5 (822 download)
Download or read book Evolution Equations written by Gisele Ruiz Goldstein and published by CRC Press. This book was released on 2019-04-24 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li
Author : Sergiu Aizicovici
Publisher : CRC Press
ISBN 13 : 9780203902189
Total Pages : 348 pages
Book Rating : 4.9/5 (21 download)
Download or read book Differential Equations And Control Theory written by Sergiu Aizicovici and published by CRC Press. This book was released on 2001-10-02 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.
Author : E. Atlee Jackson
Publisher : CUP Archive
ISBN 13 : 9780521426329
Total Pages : 532 pages
Book Rating : 4.4/5 (263 download)
Download or read book Perspectives of Nonlinear Dynamics: Volume 1 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.
Author : G. A. Chauvet
Publisher : Elsevier
ISBN 13 : 148310012X
Total Pages : 555 pages
Book Rating : 4.4/5 (831 download)
Download or read book Tissues and Organs written by G. A. Chauvet and published by Elsevier. This book was released on 2013-09-11 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical Systems in Biology: Hierarchical and Functional Integration, Volume II: Tissues and Organs discusses the phenomenology of physiological mechanisms. The book is comprised 10 chapters that are organized into two parts. The first part covers topics about the cell and its environment, such as cell membrane structure, mechanisms of membrane transport, and cell excitability. The second part deals with the mechanisms of physiological functions, which include the metabolic system, the respiratory system, and the renal system. The book will be of great use to researchers and professionals whose work requires a good understanding of human physiology.
Author : Fiacco
Publisher : CRC Press
ISBN 13 : 1000153436
Total Pages : 174 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mathematical Programming with Data Perturbations II, Second Edition written by Fiacco and published by CRC Press. This book was released on 2020-09-24 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.
