Stochastic Neuron Models
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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 Mathematicsat 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.
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.
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
Autor*in
Priscilla E. Greenwood
Themen in »Stochastic Neuron Models«
Excitation-inhibition interaction Model neuron Neural system Reaction-diffusion Stochastic Facilitation Stochasticity Synchronization
Stimmen zu »Stochastic Neuron Models«
“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)
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