Authors:
- Describes a segment of the literature on models of neurons and neural systems
- States open problems of interest to probabilists
- Includes both temporal and spatial stochastic pattern formation
- Juxtaposes computer simulation results with stochastic analysis
Part of the book series: Mathematical Biosciences Institute Lecture Series (MBILS, volume 1.5)
Part of the book sub series: Stochastics in Biological Systems (STOCHBS)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
This book will be useful for graduate students and instructors providing material and references for applying probability to stochastic neuron modeling. Methods and results are presented, but the emphasis is on questions where additional stochastic analysis may contribute neuroscience insight. An extensive bibliography is included.
Dr. Priscilla E. Greenwood is a Professor Emerita in the Department of Mathematics at the University of British Columbia. Dr. Lawrence M. Ward is a Professor in the Department of Psychology and the Brain Research Centre at the University of British Columbia.
Reviews
“This book is part of the Mathematical Biosciences Institute Lecture Series. Each book in this series is self-contained, tutorial in nature and inspired by the annual programs at the MBI. They are designed to be used as part of a two week module in a standard graduate course in mathematics. This book is 70 pages long and informally written, giving a quick introduction to stochastic neural models of varying levels.” (Carlo Laing, zbMATH 1342.92007, 2016)
Authors and Affiliations
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University of British Columbia, Vancouver, China
Priscilla E. Greenwood, Lawrence M. Ward
About the authors
Dr. Priscilla E. Greenwood is a Professor Emerita in the Department of Mathematics at the University of British Columbia. She received a Ph.D. in mathematics from the University of Wisconsin in 1963. She has published extensively in several areas of probability and its applications, including stochastic processes, random fields, and asymptotic statistics for stochastic processes. She has also authored the following books: Contiguity and the Statistical Invariance Principle (1985, Philadelphia: Gordon and Breach), (with A.N. Shiryaev); Markov Fields over Countable Partially Ordered Sets: Extrema and Splitting (1994, Providence, RI: American Mathematical Society), (with I.,V. Evstigneev), 1994; and A guide to chi-squared testing (1996, New York: Wiley), (with M.S. Nikulin). Her current work centers around stochastic dynamical systems, and, in particular, stochastic neural dynamics.
Dr. Lawrence M. Ward is a Professor in the Department of Psychology and the Brain Research Centre at the University of British Columbia. He received a Ph.D. from Duke University in 1971, where he studied experimental psychology and mathematics. He has published many research articles and book chapters in psychophysics, cognitive neuroscience, biophysics, and computational neuroscience. He has also authored several books: Sensation and Perception (now in its 6th edition, 2004, Hoboken, NJ: Wiley), (with S. Coren and J.T. Enns), Dynamical Cognitive Science (2001, Cambridge, MA: MIT Press), and Orienting of Attention (2008, New York: Oxford University Press; with Richard D. Wright). His current work is concerned with issues in (i) the cognitive neuroscience of attention, memory, reading, and consciousness, (ii) biophysics and psychophysics of stochastic facilitation, (iii) mathematical and computer modeling of neuronal oscillations and synchronization, and (iv) applications of nonlinear dynamical systems theory in cognitive neuroscience.
Bibliographic Information
Book Title: Stochastic Neuron Models
Authors: Priscilla E. Greenwood, Lawrence M. Ward
Series Title: Mathematical Biosciences Institute Lecture Series
DOI: https://doi.org/10.1007/978-3-319-26911-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-26909-2Published: 10 February 2016
eBook ISBN: 978-3-319-26911-5Published: 02 February 2016
Edition Number: 1
Number of Pages: X, 75
Number of Illustrations: 12 b/w illustrations, 13 illustrations in colour
Topics: Physiological, Cellular and Medical Topics, Probability Theory and Stochastic Processes, Neurosciences, Statistics for Life Sciences, Medicine, Health Sciences