Author: Robert M. Miura Publisher: American Mathematical Soc. ISBN: 9780821897096 Category : Science Languages : en Pages : 136
Book Description
This volume contains lectures presented at the 15th annual meeting on mathematical biology, organized by a joint AMS-SIAM committee, as part of the mathematical activities at the annual AAAS meeting, held January 7, 1982, in Washington, D.C. The meeting was devoted to neurobiology, and was very ably organized by Robert M. Miura. Neurobiology is a very large field, and there are many applications of mathematics that could have been selected. Miura and the committee wisely chose to concentrate on one or two topics concerned mainly with the properties of individual neurons and their processes. In summary, this is an excellent collection of articles on some of the more interesting and timely problems of cellular neurobiology. The articles, especially those by Plant, Rinzel, and Nicholson and Phillips, are all excellent expositions of important problems. I recommend this volume to anyone interested in mathematical neurobiology.
Author: G. Bard Ermentrout Publisher: Springer Science & Business Media ISBN: 0387877088 Category : Mathematics Languages : en Pages : 434
Book Description
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.
Author: Lynn Arthur Steen Publisher: MAA ISBN: 9780883858189 Category : Mathematics Languages : en Pages : 182
Book Description
"Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi
Author: Fabrizio Gabbiani Publisher: Academic Press ISBN: 0128019069 Category : Mathematics Languages : en Pages : 630
Book Description
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
Author: James M. Bower Publisher: Springer Science & Business Media ISBN: 1461522358 Category : Computers Languages : en Pages : 448
Book Description
This volume includes papers presented at the Third Annual Computation and Neural Systems meeting (CNS*94) held in Monterey California, July 21 - July 26, 1994. This collection includes 71 of the more than 100 papers presented at this year's meeting. Acceptance for meeting presentation was based on the peer review of preliminary papers by at least two referees. The papers in this volume were submitted in final form after the meeting. As represented by this volume, CNS meetings continue to expand in quality, size and breadth of focus as increasing numbers of neuroscientists are taking a computational approach to understanding nervous system function. The CNS meetings are intended to showcase the best of current research in computational neuroscience. As such the meeting is fundamentally focused on understanding the relationship between the structure of neIVOUS systems and their function. What is clear from the continued expansion of the CNS meetings is that computational approaches are increasingly being applied at all levels of neurobiological analysis. in an ever growing number of experimental preparations. and neural subsystems. Thus. experimental subjects range from crickets to primates; sensory systems range from vision to electroreception; experimental approaches range from realistic models of ion channels to the analysis of the information content of spike trains. For this reason, the eNS meetings represent an opportunity for computational neurobiologists to consider their research results in a much broader context than is usually possible.
Author: R.R. Poznanski Publisher: Routledge ISBN: 1351430971 Category : Computers Languages : en Pages : 556
Book Description
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
Author: Wilfrid Rall Publisher: MIT Press ISBN: 9780262193566 Category : Medical Languages : en Pages : 484
Book Description
This collection of fifteen previously published papers, some of them not widely available, have been carefully chosen and annotated by Rall's colleagues and other leading neuroscientists.
Author: Robert M. Miura
Author: Simon A. Levin
Author: G. Bard Ermentrout
Author: Lynn Arthur Steen![Neurobiology : [proceedings of the 1982 Symposium Some Mathematical Questions in Biology ; held at the annual meeting of the American Association for Advancement of Science in Washington, D.C., January 7, 1982] PDF](https://books.google.com/books/content/images/frontcover/pqj_jgEACAAJ?fife=w80-h100)
Author: Robert M. Miura
Author: Simon A. Levin
Author: Fabrizio Gabbiani
Author: James M. Bower
Author: R.R. Poznanski
Author: Wilfrid Rall