
Mathematics for Neuroscientists
Resources
Description
Key Features
- 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
- Allows the mathematical novice to analyze their results in more sophisticated ways, and consider them in a broader theoretical framework
Readership
* Researchers in Neuroscience and Psychology looking for a quick reference for mathematical methods
* Students in applied mathematics, physical sciences, engineering who want an introduction to Neuroscience in a mathematical context
Table of Contents
1 Introduction
2 The Passive Isopotential Cell
3 Differential Equations
4 The Active Isopotential Cell
5 The Quasi-Active Isopotential Cell
6 The Passive Cable
7 Fourier Series and Transforms
8 The Passive Dendritic Tree
9 The Active Dendritic Tree
10 Reduced Single Neuron Models
11 Probability and Random Variables
12 Synaptic Transmission and Quantal Release
13 Neuronal Calcium Signaling
14 The Singular Value Decomposition and Applications
15 Quantification of Spike Train Variability
16 Stochastic Processes
17 Membrane Noise
18 Power and Cross Spectra
19 Natural Light Signals and Phototransduction
20 Firing Rate Codes and Early Vision
21 Models of Simple and Complex Cells
22 Stochastic Estimation Theory
23 Reverse-Correlation and Spike Train Decoding
24 Signal Detection Theory
25 Relating Neuronal Responses and Psychophysics
26 Population Codes
27 Neuronal Networks
28 Solutions to Selected Exercises
Product details
- No. of pages: 498
- Language: English
- Copyright: © Academic Press 2010
- Published: July 26, 2010
- Imprint: Academic Press
- eBook ISBN: 9780080890494
About the Authors
Fabrizio Gabbiani
Affiliations and Expertise
Fabrizio Gabbiani
Affiliations and Expertise
Steven Cox
Affiliations and Expertise
Steven Cox
Affiliations and Expertise
Ratings and Reviews
There are currently no reviews for "Mathematics for Neuroscientists"