Overview

This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. He devotes the main part to the synchronization problem. He presents neural net models more realistic than the conventional ones by taking into account the detailed dynamics of axons, synapses and dendrites, allowing rather arbitrary couplings between neurons. He gives a complete stable analysis that goes significantly beyond what has been known so far. He also derives pulse-averaged equations including those of the Wilson-Cowan and the Jirsa-Haken-Nunez types and discusses the formation of spatio-temporal neuronal activity patterns. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.

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9783540462828

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From the reviews: This book focuses on synchronization of coupled systems of neuronal phase models the author calls lighthouse models. the book is an interesting read, and it will be of interest to computational neuroscientists working in synchrony and maybe mean-field models. (Andrea K. Barreiro, SIAM Review, Vol. 52 (2), 2010)

From the reviews: This book focuses on synchronization of coupled systems of neuronal phase models the author calls 'lighthouse models.' ... the book is an interesting read, and it will be of interest to computational neuroscientists working in synchrony and maybe mean-field models. (Andrea K. Barreiro, SIAM Review, Vol. 52 (2), 2010)

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