ENGLISH

Tutorials in Mathematical Biosciences I: Mathematical Neuroscience

By Alla Borisyuk , Avner Friedman , Bard Ermentrout , David Terman (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2005
ISBN
3540238581, 9783540238584
DOI
10.1007/b102786
LCC
QA3 .L28 no. 1860
Open Library ID
OL15570869M
Language
english
Format
PDF
Filesize
3 MB (3069989 bytes)
Series
Lecture Notes in Mathematics 1860 Mathematical Biosciences Subseries
Volume
Volume 1
Edition
1
Pages
170\178
Library
Kolxo3
Time added
2009-07-20 03:45:11
Mathematical Biology in General; Ordinary Differen

Description

This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.

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