Mathematics for neuroscientists

Mathematics for neuroscientists / Fabrizio Gabbiani, Steven J. Cox.

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 stude...

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Bibliographic Details
Main Author: Gabbiani, Fabrizio
Other Authors: Cox, Steven J. (Steven James), 1960-
Format: eBook
Language:English
Published: Amsterdam ; Boston : Elsevier Academic Press, 2010.
Edition:1st ed.
Series:Elsevier science & technology books.
Subjects:
Computational neuroscience.
Computational biology.
Neurosciences.
Neural circuitry.
Neural transmission.
MEDICAL > Neuroscience.
PSYCHOLOGY > Neuropsychology.
Neural transmission
Neural circuitry
Computational biology
Computational neuroscience
Neurosciences
Neurosciences > Informatique.
Neurosciences > Modèles mathématiques.
Online Access:Click for online access
Table of 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.

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