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Brain Dynamics Hermann Haken

Brain Dynamics By Hermann Haken

Brain Dynamics by Hermann Haken


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Summary

This is an excellent introduction for graduate students and nonspecialists to the field of mathematical and computational neurosciences. The book approaches the subject via pulsed-coupled neural networks, which have at their core the lighthouse and integrate-and-fire models.

Brain Dynamics Summary

Brain Dynamics: An Introduction to Models and Simulations by Hermann Haken

This is an excellent introduction for graduate students and nonspecialists to the field of mathematical and computational neurosciences. The book approaches the subject via pulsed-coupled neural networks, which have at their core the lighthouse and integrate-and-fire models. These allow for highly flexible modeling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. The more advanced pulse-averaged equations are discussed.

Table of Contents

Basic Experimental Facts and Theoretical Tools.- 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.- 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.- Pattern Recognition Versus Synchronization: Pattern Recognition.- Pattern Recognition Versus Synchronization: Synchronization and Phase Locking.- Phase Locking, Coordination and Spatio-Temporal Patterns.- Phase Locking via Sinusoidal Couplings.- Pulse-Averaged Equations.- Conclusion.- The Single Neuron.- Conclusion and Outlook.- Solutions to Exercises.

Additional information

NPB9783540752363
9783540752363
3540752366
Brain Dynamics: An Introduction to Models and Simulations by Hermann Haken
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2008-01-04
333
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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