Get 40% off select Statistics books or choose from thousands of Archive eBooks at 9.99 each!

Stochastics in Biological Systems

Stochastic Neuron Models

Authors: Greenwood, Priscilla E., Ward, Lawrence M

Free Preview
  • 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
see more benefits

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-26911-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-26909-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

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.

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)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-26911-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-26909-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Stochastic Neuron Models
Authors
Series Title
Stochastics in Biological Systems
Series Volume
1.5
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26911-5
DOI
10.1007/978-3-319-26911-5
Softcover ISBN
978-3-319-26909-2
Series ISSN
2364-2297
Edition Number
1
Number of Pages
X, 75
Number of Illustrations
12 b/w illustrations, 13 illustrations in colour
Topics