Lawrence M. Ward: Stochastic Neuron Models

Cover: 9783319269092 | Stochastic Neuron Models | Lawrence M. Ward (u. a.) | Taschenbuch | x

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Beschreibung

This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these problems is outlined within the text, so readers can grasp the context in which they arise.

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

Introduction.- Single Neuron Models.- Population and Subpopulation Models.- Spatially-structured Neural Systems.- The Bigger Picture.

Details

Erscheinungsjahr:	2016
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Stochastics in Biological Systems
Inhalt:	x 75 S. 12 s/w Illustr. 13 farbige Illustr. 75 p. 25 illus. 13 illus. in color.
ISBN-13:	9783319269092
ISBN-10:	3319269097
Sprache:	Englisch
Herstellernummer:	978-3-319-26909-2
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Ward, Lawrence M. Greenwood, Priscilla E.
Auflage:	1st ed. 2016
Hersteller:	Springer International Publishing Springer International Publishing AG Stochastics in Biological Systems
Maße:	235 x 155 x 6 mm
Von/Mit:	Lawrence M. Ward (u. a.)
Erscheinungsdatum:	10.02.2016
Gewicht:	0,149 kg

Artikel-ID: 104150606