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Mathematical Aspects Of Hodgkin Huxley Neural Theory
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Book Synopsis Mathematical Aspects of Hodgkin-Huxley Neural Theory by : Jane Cronin
Download or read book Mathematical Aspects of Hodgkin-Huxley Neural Theory written by Jane Cronin and published by Cambridge University Press. This book was released on 1987-08-28 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work.
Book Synopsis Neuronal Dynamics by : Wulfram Gerstner
Download or read book Neuronal Dynamics written by Wulfram Gerstner and published by Cambridge University Press. This book was released on 2014-07-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.
Book Synopsis Methods of Mathematical Modelling and Computation for Complex Systems by : Jagdev Singh
Download or read book Methods of Mathematical Modelling and Computation for Complex Systems written by Jagdev Singh and published by Springer Nature. This book was released on 2021-08-26 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.
Book Synopsis Neural Information Processing by : Tingwen Huang
Download or read book Neural Information Processing written by Tingwen Huang and published by Springer. This book was released on 2012-11-05 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five volume set LNCS 7663, LNCS 7664, LNCS 7665, LNCS 7666 and LNCS 7667 constitutes the proceedings of the 19th International Conference on Neural Information Processing, ICONIP 2012, held in Doha, Qatar, in November 2012. The 423 regular session papers presented were carefully reviewed and selected from numerous submissions. These papers cover all major topics of theoretical research, empirical study and applications of neural information processing research. The 5 volumes represent 5 topical sections containing articles on theoretical analysis, neural modeling, algorithms, applications, as well as simulation and synthesis.
Book Synopsis From Molecules to Networks by : John H. Byrne
Download or read book From Molecules to Networks written by John H. Byrne and published by Academic Press. This book was released on 2014-05-23 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the nervous system at virtually any level of analysis requires an understanding of its basic building block, the neuron. The third edition of From Molecules to Networks provides the solid foundation of the morphological, biochemical, and biophysical properties of nerve cells. In keeping with previous editions, the unique content focus on cellular and molecular neurobiology and related computational neuroscience is maintained and enhanced. All chapters have been thoroughly revised for this third edition to reflect the significant advances of the past five years. The new edition expands on the network aspects of cellular neurobiology by adding new coverage of specific research methods (e.g., patch-clamp electrophysiology, including applications for ion channel function and transmitter release; ligand binding; structural methods such as x-ray crystallography). Written and edited by leading experts in the field, the third edition completely and comprehensively updates all chapters of this unique textbook and insures that all references to primary research represent the latest results. - The first treatment of cellular and molecular neuroscience that includes an introduction to mathematical modeling and simulation approaches - 80% updated and new content - New Chapter on "Biophysics of Voltage-Gated Ion Channels" - New Chapter on "Synaptic Plasticity" - Includes a chapter on the Neurobiology of Disease - Highly referenced, comprehensive and quantitative - Full color, professional graphics throughout - All graphics are available in electronic version for teaching purposes
Book Synopsis Mathematics for Neuroscientists by : Fabrizio Gabbiani
Download or read book Mathematics for Neuroscientists written by Fabrizio Gabbiani and published by Academic Press. This book was released on 2017-02-04 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Neuroscientists, Second Edition, presents a comprehensive introduction to mathematical and computational methods used in neuroscience to describe and model neural components of the brain from ion channels to single neurons, neural networks and their relation to behavior. The book contains more than 200 figures generated using Matlab code available to the student and scholar. Mathematical concepts are introduced hand in hand with neuroscience, emphasizing the connection between experimental results and theory. - Fully revised material and corrected text - Additional chapters on extracellular potentials, motion detection and neurovascular coupling - Revised selection of exercises with solutions - More than 200 Matlab scripts reproducing the figures as well as a selection of equivalent Python scripts
Book Synopsis Encyclopedia of Computational Neuroscience by : Dieter Jaeger
Download or read book Encyclopedia of Computational Neuroscience written by Dieter Jaeger and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Electrophysiology by : Shinji Doi
Download or read book Computational Electrophysiology written by Shinji Doi and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological systems inherently possess much ambiguity or uncertainty. Computational electrophysiology is the one area, from among the vast and rapidly growing discipline of computational and systems biology, in which computational or mathematical models have succeeded. This textbook provides a practical and quick guide to both computational electrophysiology and numerical bifurcation analysis. Bifurcation analysis is a very powerful tool for the analysis of such highly nonlinear biological systems. Bifurcation theory provides a way to analyze the effect of a parameter change on a system and to detect a critical parameter value when the qualitative nature of the system changes. Included in this work are many examples of numerical computations of bifurcation analysis of various models as well as mathematical models with different abstraction levels from neuroscience and electrophysiology. This volume will benefit graduate and undergraduate students as well as researchers in diverse fields of science.
Book Synopsis Mathematical Foundations of Neuroscience by : G. Bard Ermentrout
Download or read book Mathematical Foundations of Neuroscience written by G. Bard Ermentrout and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University.
Book Synopsis Modeling in the Neurosciences by : R.R. Poznanski
Download or read book Modeling in the Neurosciences written by R.R. Poznanski and published by Routledge. This book was released on 2019-01-22 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from more than 40 renowned experts, Modeling in the Neurosciences: From Ionic Channels to Neural Networks is essential for those interested in neuronal modeling and quantitative neiroscience. Focusing on new mathematical and computer models, techniques and methods, this monograph represents a cohesive and comprehensive treatment
Book Synopsis Using the Mathematics Literature by : Kristine K. Fowler
Download or read book Using the Mathematics Literature written by Kristine K. Fowler and published by CRC Press. This book was released on 2004-05-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.
Book Synopsis Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop by : Francesco Guerra
Download or read book Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop written by Francesco Guerra and published by World Scientific. This book was released on 1992-07-17 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.
Book Synopsis Spatial Dynamics and Pattern Formation in Biological Populations by : Ranjit Kumar Upadhyay
Download or read book Spatial Dynamics and Pattern Formation in Biological Populations written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2021-02-23 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises.
Book Synopsis A Math Primer for Engineers by : C.W. Cryer
Download or read book A Math Primer for Engineers written by C.W. Cryer and published by IOS Press. This book was released on 2014-03-04 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formulas and equations have not been avoided, but every effort has been made to keep them simple in the hope of persuading readers that they are not only useful but also accessible. The wide range of topics covered includes introductory material such as numbers and sequences, geometry in two and three dimensions, linear algebra, and the calculus. Building on these foundations, linear spaces, tensor analysis and Fourier analysis are introduced. All these concepts are used to solve problems for ordinary and partial differential equations. Illustrative applications are taken from a variety of engineering disciplines, and the choice of a suitable model is considered from the point of view of both the mathematician and the engineer. This book will be of interest to engineers and bioengineers looking for the mathematical means to help further their work, and it will offer readers a glimpse of many ideas which may spark their interest.
Book Synopsis The Annotated Hodgkin and Huxley by : Indira M. Raman
Download or read book The Annotated Hodgkin and Huxley written by Indira M. Raman and published by Princeton University Press. This book was released on 2022-01-11 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first annotated edition of the scientific papers that created the foundation of modern neuroscience and physiology The origin of everything known about how neurons and muscles generate electrical signals can be traced back to five revolutionary papers, published in the Journal of Physiology in 1952 by Alan Hodgkin and Andrew Huxley. The principles they revealed remain cornerstones of the discipline, summarized in every introductory neuroscience and physiology course. Since that era, however, scientific practice, technology, and presentation have changed extensively. It is difficult for the modern reader to appreciate Hodgkin and Huxley’s rigorous scientific thought, elegant experimental design, ingenious analysis, and beautiful writing. This book provides the first annotated edition of these papers, offering essential background on everything, from terminology, equations, and electronics, to the greater historical and scientific context surrounding the work. The original journal pages are displayed opposite detailed notes explaining content, process, and background, with copies of the figures replotted according to modern conventions. Indispensable for scientists, teachers, and trainees alike, The Annotated Hodgkin and Huxley makes an essential body of knowledge—and an unparalleled approach to research—accessible to a new generation of readers. Reproduces the original articles paired with extensive annotations on facing pages Replots figures with modern conventions of data display Explains the development of the voltage clamp and the discovery of ionic currents and action potential generation, foundational to the study of neuroscience and physiology Summarizes the history of electrophysiology leading to Hodgkin and Huxley’s work Includes appendices on relevant concepts from mathematics, physics, electronics, chemical kinetics, and numerical methods
Book Synopsis Single Neuron Computation by : Thomas M. McKenna
Download or read book Single Neuron Computation written by Thomas M. McKenna and published by Academic Press. This book was released on 2014-05-19 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains twenty-two original contributions that provide a comprehensive overview of computational approaches to understanding a single neuron structure. The focus on cellular-level processes is twofold. From a computational neuroscience perspective, a thorough understanding of the information processing performed by single neurons leads to an understanding of circuit- and systems-level activity. From the standpoint of artificial neural networks (ANNs), a single real neuron is as complex an operational unit as an entire ANN, and formalizing the complex computations performed by real neurons is essential to the design of enhanced processor elements for use in the next generation of ANNs.The book covers computation in dendrites and spines, computational aspects of ion channels, synapses, patterned discharge and multistate neurons, and stochastic models of neuron dynamics. It is the most up-to-date presentation of biophysical and computational methods.
Book Synopsis Bioengineering Approaches to Pulmonary Physiology and Medicine by : M.C.K. Khoo
Download or read book Bioengineering Approaches to Pulmonary Physiology and Medicine written by M.C.K. Khoo and published by Springer Science & Business Media. This book was released on 2007-08-20 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the current millennium steams towards a close, one cannot help but look with amazement at the incredible amount of progress that has been achieved in medicine in just the last few decades. A key contributing factor to this success has been the importation and blending of ideas and techniques from disciplines outside the traditional borders of medical science. In recent years, the most well-known example is the cross-pollination between molecular biology and medicine. Advances driven by this potent combination have spawned the vision of a future where cures based on gene therapy become commonplace. Yet, as we continue our search for "magic bullets" in the quest to eradicate disease, it important to recognize the value of other less-heralded interdisciplinary efforts that have laid a large part of the foundation of present-day medicine. In pulmonary medicine, the contribution from the bioengineers (a diverse collection of individuals cross-bred to various degrees in mathematical modeling and experimental physiology) has been larger and more sustained than in many other medical specialties. It is easy to point to the vast array of ventilators, blood-gas analyzers, oximeters, pulmonary function devices, and respiration monitors that are present in any modern clinical setting as solid evidence of the successful synergy between engineering science and pulmonary medicine. However, one must not forget the less tangible, but perhaps more important, contributions that have been derived from mathematical modeling and computer simulation, without which many of these modern instruments would not have come into existence.
