Tutorials in Mathematical Biosciences I: Mathematical Neuroscience (Paperback) (ISBN-13: 9783540238584)

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.

Author: Alla Borisyuk, G. Bard Ermentrout, Avner Friedman
ISBN-10: 3540238581
ISBN-13: 9783540238584
Publisher: Springer
Language: English
Published: 02/18/2005
Pages: 170
Format: Paperback
Weight: 0.60lbs
Size: 9.10h x 6.10w x 0.30d