Brain dynamics

Synchronization and activity patterns in pulse-coupled neural nets with delays and noise

Hermann Haken

260 pages, parution le 20/09/2002

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Résumé

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 stability 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. ContentsPart I. Basic Experimental Facts and Theoretical Tools

Introduction
The Neuron - Building Block of the Brain
Neuronal Cooperativity
Spikes, Phases, Noise:
How to Describe Them Mathematically?
We Learn a Few Tricks and Some Important Concepts

Part II. Spiking in Neural Nets

The Lighthouse Model. Two Coupled Neurons
The Lighthouse Model. Many Coupled Neurons
Integrate and Fire Models (IFM)
Many Neurons, General Case, Connection with Integrate
and Fire Model

Part III. Phase Locking, Coordination and Spatio-Temporal Patterns

Phase Locking via Sinusoidal Couplings
Pulse-Averaged Equations

Part IV. Conclusion

The Single Neuron
Conclusion and Outlook

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Hermann Haken
Parution	20/09/2002
Nb. de pages	260
Format	16 x 24
Couverture	Relié
Poids	502g
Intérieur	Noir et Blanc
EAN13	9783540430766