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Brain Dynamics [Hardcover]

Hermann Haken (Author)
5.0 out of 5 stars  See all reviews (1 customer review)


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Book Description

3540430768 978-3540430766 November 11, 2002 1

(preliminary) Brain Dynamics is an introduction for graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences.
The approach in this book is through pulsed-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow for the highly flexible modelling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. As a more advanced topic, pulse-averaged equations and their application to movement coordination are discussed. The book closes with a short analysis of models versus the real neurophysiological system. The second edition has been thoroughly updated and augmented by an extensive chapter that discusses the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions of all XX exercises throughout the text have been added.



Editorial Reviews

From the Back Cover

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 stabile 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 pattems. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.

--This text refers to an out of print or unavailable edition of this title.

Product Details

  • Hardcover: 245 pages
  • Publisher: Springer; 1 edition (November 11, 2002)
  • Language: English
  • ISBN-10: 3540430768
  • ISBN-13: 978-3540430766
  • Product Dimensions: 9.1 x 6.4 x 0.9 inches
  • Shipping Weight: 1.1 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #4,132,639 in Books (See Top 100 in Books)

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5.0 out of 5 stars Excellent Introduction to Good Neural Modelling, February 25, 2008
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Clear, readable, interesting topics, mathematical tools are introduced nicely. Great book and a great introduction to simple (but useful) neural modeling.
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Inside This Book (learn more)
First Sentence:
Though there are about 20 different types of neurons, their structure is basically the saine. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
axonal pulse rates, lighthouse model, axonal pulses, dendritic currents, neural sheet, neuronal cooperativity, fire models, fluctuating forces, spike trains, spike rates, phase locking, nerve pulses, axon hillock, oscillatory responses
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hodgkin Huxley, Naka Rushton, Wilson Cowan, Mary Louise, Stability of Phase-Locked State, Principles of Brain Functioning
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