Mathematical Aspects Of Hodgkin Huxley Neural Theory
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Mathematical Aspects Of Hodgkin Huxley Neural Theory
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Author : Jane Cronin
language : en
Publisher: Cambridge University Press
Release Date : 1987-08-28
Mathematical Aspects Of Hodgkin Huxley Neural Theory written by Jane Cronin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-28 with Mathematics categories.
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. This is an important and vigorously researched field. 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. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.
Mathematical Aspects Of Hodgkin Huxley Neural Theory
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Author : Jane Cronin
language : en
Publisher: Cambridge University Press
Release Date : 1987-08-28
Mathematical Aspects Of Hodgkin Huxley Neural Theory written by Jane Cronin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-28 with Mathematics categories.
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.
Mathematical Aspects Of Hodgkin Huxley Neural Theory
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Author : Jane Cronin Boutelle
language : en
Publisher:
Release Date : 1987
Mathematical Aspects Of Hodgkin Huxley Neural Theory written by Jane Cronin Boutelle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Neural conduction categories.
Methods Of Mathematical Modelling And Computation For Complex Systems
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Author : Jagdev Singh
language : en
Publisher: Springer Nature
Release Date : 2021-08-26
Methods Of Mathematical Modelling And Computation For Complex Systems written by Jagdev Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-26 with Technology & Engineering categories.
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.
An Introduction To The Mathematics Of Neurons
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Author : Frank C. Hoppensteadt
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-28
An Introduction To The Mathematics Of Neurons written by Frank C. Hoppensteadt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-28 with Mathematics categories.
This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then proceeds to applications. These applications include small networks of neurons, such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next, a theory of mnemonic surfaces is developed and studied and material on pattern formation and cellular automata is presented. Finally, large networks are studied, such as the thalamus-reticular complex circuit, believed to be involved in focusing attention, and the development of connections in the visual cortex. Additional material is also provided about nonlinear wave propagation in networks. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.
Neural Information Processing
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Author : Tingwen Huang
language : en
Publisher: Springer
Release Date : 2012-11-05
Neural Information Processing written by Tingwen Huang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-05 with Computers categories.
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.
From Molecules To Networks
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Author : John H. Byrne
language : en
Publisher: Academic Press
Release Date : 2014-05-23
From Molecules To Networks written by John H. Byrne and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Medical categories.
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
Probabilistic Methods In Mathematical Physics Proceedings Of The International Workshop
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Author : Francesco Guerra
language : en
Publisher: World Scientific
Release Date : 1992-07-17
Probabilistic Methods In Mathematical Physics Proceedings Of The International Workshop written by Francesco Guerra and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-17 with categories.
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.
The Theory Of The Chemostat
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Author : Hal L. Smith
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-27
The Theory Of The Chemostat written by Hal L. Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.
Information Theory And Quantum Physics
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Author : Herbert S. Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Information Theory And Quantum Physics written by Herbert S. Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In this book, H. S. Green, a former student of Max Born and well known as an author in physics and in philosophy of science, presents an individual and modern approach to theoretical physics and related fundamental problems. Starting from first principles, the links between physics and information science are unveiled step by step: modern information theory and the classical theory of the Turing machine are combined to create a new interpretation of quantum computability, which is then applied to field theory, gravitation and submicroscopic measurement theory and culminates in a detailed examination of the role of the conscious observer in physical measurements. The result is a highly readable book that unifies a wide range of scientific knowledge and is essential reading for all scientists and philosophers of science interested in the interpretation and the implications of the interaction between information science and basic physical theories.