Tutorials in Mathematical Biosciences I Mathematical Neuroscience

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Synopsis

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.

Book details

Edition:
2005
Series:
Lecture Notes in Mathematics (Book 1860)
Author:
Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman
ISBN:
9783540315445
Related ISBNs:
9783540238584
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-07-10
Usage restrictions:
Copyright
Copyright date:
2005
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Animals, Mathematics and Statistics, Nonfiction, Science