The Resource Mathematics for neuroscientists, Fabrizio Gabbiani, Steven J. Cox, (electronic resource/)

Mathematics for neuroscientists, Fabrizio Gabbiani, Steven J. Cox, (electronic resource/)

Label
Mathematics for neuroscientists
Title
Mathematics for neuroscientists
Statement of responsibility
Fabrizio Gabbiani, Steven J. Cox
Creator
Contributor
Subject
Genre
Language
eng
Summary
This book provides a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. The book alternates between mathematical chapters, introducing important concepts and numerical methods, and neurobiological chapters, applying these concepts and methods to specific topics. It covers topics ranging from classical cellular biophysics and proceeding up to systems level neuroscience. Starting at an introductory mathematical level, presuming no more than calculus through elementary differential equations, the level will build up as increasingly complex techniques are introduced and combined with earlier ones. Each chapter includes a comprehensive series of exercises with solutions, taken from the set developed by the authors in their course lectures. MATLAB code is included for each computational figure, to allow the reader to reproduce them. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the readers understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter. A very didactic and systematic introduction to mathematical concepts of importance for the analysis of data and the formulation of concepts based on experimental data in neuroscience Provides introductions to linear algebra, ordinary and partial differential equations, Fourier transforms, probabilities and stochastic processes Introduces numerical methods used to implement algorithms related to each mathematical concept Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons Provides implementation examples in MATLAB code, also included for download on the accompanying support website (which will be updated with additional code and in line with major MATLAB releases) Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework
Cataloging source
OPELS
Dewey number
612.8
Illustrations
illustrations
Index
index present
LC call number
QP356
LC item number
.G22 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
  • 2010 J-281
  • QU 26.5
Series statement
Elsevier science & technology books
Label
Mathematics for neuroscientists, Fabrizio Gabbiani, Steven J. Cox, (electronic resource/)
Link
http://library.quincycollege.edu:2048/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=342483
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 473-482) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Passive isopotential cell -- Differential equations -- Active isopotential cell -- Quasi-active isopotential cell -- Passive cable -- Fourier series and transforms -- Passive dendritic tree -- Active dendritic tree -- Reduced single neuron models -- Probability and random variables -- Synaptic transmission and quantal release -- Neuronal calcium signaling -- Singular value decomposition and applications -- Quantification of spike train variability -- Stochastic processes -- Membrane noise -- Power and cross spectra -- Natural light signals and phototransduction -- Firing rate codes and early vision -- Models of simple and complex cells -- Stochastic estimation theory -- Reverse-correlation and spike train decoding -- Signal detection theory -- Relating neuronal responses and psychophysics -- Population codes -- Neuronal networks -- Solutions to selected exercises
Control code
ocn668196264
Dimensions
unknown
Edition
1st ed.
Extent
1 online resource (access may be restricted)
Form of item
online
Governing access note
Access restricted to subscribing institution
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
eBooks on EBSCOhost
Specific material designation
remote
Stock number
167007:167242
Label
Mathematics for neuroscientists, Fabrizio Gabbiani, Steven J. Cox, (electronic resource/)
Link
http://library.quincycollege.edu:2048/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=342483
Publication
Bibliography note
Includes bibliographical references (pages 473-482) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Passive isopotential cell -- Differential equations -- Active isopotential cell -- Quasi-active isopotential cell -- Passive cable -- Fourier series and transforms -- Passive dendritic tree -- Active dendritic tree -- Reduced single neuron models -- Probability and random variables -- Synaptic transmission and quantal release -- Neuronal calcium signaling -- Singular value decomposition and applications -- Quantification of spike train variability -- Stochastic processes -- Membrane noise -- Power and cross spectra -- Natural light signals and phototransduction -- Firing rate codes and early vision -- Models of simple and complex cells -- Stochastic estimation theory -- Reverse-correlation and spike train decoding -- Signal detection theory -- Relating neuronal responses and psychophysics -- Population codes -- Neuronal networks -- Solutions to selected exercises
Control code
ocn668196264
Dimensions
unknown
Edition
1st ed.
Extent
1 online resource (access may be restricted)
Form of item
online
Governing access note
Access restricted to subscribing institution
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
eBooks on EBSCOhost
Specific material designation
remote
Stock number
167007:167242

Library Locations

    • Massasoit Community College Brockton CampusBorrow it
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      23 East Elm Ave. , Quincy, MA, 02170, US
      42.271089 -71.012428
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