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Physics And Mathematics Of The Nervous System


Physics And Mathematics Of The Nervous System
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Physics And Mathematics Of The Nervous System


Physics And Mathematics Of The Nervous System
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Author : M. Conrad
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08

Physics And Mathematics Of The Nervous System written by M. Conrad 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 2013-03-08 with Mathematics categories.


This volume is the record and product of the Summer School on the Physics and Mathematics of the Nervous System, held at the International Centre for Theoretical Physics in Trieste from August 21-31, 1973, and jointly organized by the Institute for Information Sciences, University of Tlibingen and by the Centre. The school served to bring biologists, physicists and mathemati cians together to exchange ideas about the nervous system and brain, and also to introduce young scientists to the field. The program, attended by more than a hundred scientists, was interdisciplinary both in character and participation. The primary support for the school was provided by the Volkswagen Foundation of West Germany. We are particularly indebted to Drs. G. Gambke, M. -L Zarnitz, and H. Penschuck of the Foundation for their in terest in and help with the project. The school also received major support from the International Centre for Theoretical Physics in Trieste and its sponsoring agencies, including the use of its excellent facili ties. We are deeply indebted to Professor A. Salam for his kind co operation and also to Professor P. Budini, Dr. A. M. Hamende, and to the many members of the Centre staff whose hospitality and efficiency con tributed so much to the success of the school. We are pleased to acknow ledge the generous ~id and cooperation of the University of Tlibingen and would like to thank its President, A.



Physics And Mathematics Of The Nervous System Proceedings


Physics And Mathematics Of The Nervous System Proceedings
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Author : International Centre for Theoretical Physics
language : en
Publisher:
Release Date : 1974

Physics And Mathematics Of The Nervous System Proceedings written by International Centre for Theoretical Physics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Biomathematics categories.




Mathematics For Neuroscientists


Mathematics For Neuroscientists
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Author : Fabrizio Gabbiani
language : en
Publisher: Academic Press
Release Date : 2010-09-16

Mathematics For Neuroscientists written by Fabrizio Gabbiani and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-16 with Medical categories.


Virtually all scientific problems in neuroscience require mathematical analysis, and all neuroscientists are increasingly required to have a significant understanding of mathematical methods. There is currently no comprehensive, integrated introductory book on the use of mathematics in neuroscience; existing books either concentrate solely on theoretical modeling or discuss mathematical concepts for the treatment of very specific problems. This book fills this need by systematically introducing mathematical and computational tools in precisely the contexts that first established their importance for neuroscience. All mathematical concepts will be introduced from the simple to complex using the most widely used computing environment, Matlab. This book will provide a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. - A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscience - Provides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processes - Introduces numerical methods used to implement algorithms related to each mathematical concept - Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons - Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework



Mathematical Models Of Chemical Reactions


Mathematical Models Of Chemical Reactions
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Author : Péter Érdi
language : en
Publisher: Manchester University Press
Release Date : 1989

Mathematical Models Of Chemical Reactions written by Péter Érdi and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.




Current Catalog


Current Catalog
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Author : National Library of Medicine (U.S.)
language : en
Publisher:
Release Date :

Current Catalog written by National Library of Medicine (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Medicine categories.


First multi-year cumulation covers six years: 1965-70.



Physics And Mathematics Of The Nervous System


Physics And Mathematics Of The Nervous System
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Author : Michael Conrad
language : en
Publisher:
Release Date : 1974

Physics And Mathematics Of The Nervous System written by Michael Conrad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.




Catastrophe Theory And Its Applications


Catastrophe Theory And Its Applications
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Author : Tim Poston
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05

Catastrophe Theory And Its Applications written by Tim Poston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.


First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.



Mathematical Foundations Of Neuroscience


Mathematical Foundations Of Neuroscience
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Author : G. Bard Ermentrout
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-01

Mathematical Foundations Of Neuroscience written by G. Bard Ermentrout 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 2010-07-01 with Mathematics categories.


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.



Collected Writings 1920 1950


Collected Writings 1920 1950
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Author : Alfred Korzybski
language : en
Publisher: Institute of GS
Release Date : 1990

Collected Writings 1920 1950 written by Alfred Korzybski and has been published by Institute of GS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language Arts & Disciplines categories.


Fifty-six items, plus documentary 'supplements', can be considered a biographical as well as theoretical working edition of the origins and development of Korzybski's revolutionary system called "general semantics".



Mathematics And The Natural Sciences The Physical Singularity Of Life


Mathematics And The Natural Sciences The Physical Singularity Of Life
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Author : Giuseppe Longo
language : en
Publisher: World Scientific
Release Date : 2011-03-04

Mathematics And The Natural Sciences The Physical Singularity Of Life written by Giuseppe Longo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-04 with Science categories.


This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work.The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations.Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level./a