Brain Dynamics: An Introduction to Model
โ Hermann Haken (auth.)
๐ Library
๐
2008
๐ Springer-Verlag Berlin Heidelberg
๐ English
โฆ LIBER โฆ
๐
Brain Dynamics: An Introduction to Models and Simualtions
โ Scribed by Hermann Haken (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2008
- Tongue
- English
- Leaves
- 335
- Series
- Springer Series in Synergetics
- Edition
- 2
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
Brain Dynamics serves to introduce graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. Some of the advanced chapters will also be of interest to the specialists. The book approaches the subject through pulse-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. Topics also include pulse-averaged equations and their application to movement coordination. The book closes with a short analysis of models versus the real neurophysiological system.
The second edition has been thoroughly updated and augmented by two extensive chapters that discuss the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions for all 34 exercises throughout the text have been added.
โฆ Table of Contents
Front Matter....Pages I-XIII
Front Matter....Pages 1-1
Introduction....Pages 3-7
The Neuron โ Building Block of the Brain....Pages 9-16
Neuronal Cooperativity....Pages 17-36
Spikes, Phases, Noise: How to Describe Them Mathematically? We Learn a Few Tricks and Some Important Concepts....Pages 37-73
Front Matter....Pages 75-75
The Lighthouse Model. Two Coupled Neurons....Pages 77-101
The Lighthouse Model. Many Coupled Neurons....Pages 103-139
Integrate and Fire Models (IFM)....Pages 141-150
Many Neurons, General Case, Connection with Integrate and Fire Model....Pages 151-179
Pattern Recognition Versus Synchronization: Pattern Recognition....Pages 181-205
Pattern Recognition Versus Synchronization: Synchronization and Phase Locking....Pages 207-235
Front Matter....Pages 237-237
Phase Locking via Sinusoidal Couplings....Pages 239-250
Pulse-Averaged Equations....Pages 251-269
Front Matter....Pages 271-271
The Single Neuron....Pages 273-282
Conclusion and Outlook....Pages 283-285
Solutions to Exercises....Pages 287-315
Back Matter....Pages 317-333
โฆ Subjects
Biophysics/Biomedical Physics;Complexity;Applications of Mathematics;Neurosciences;Artificial Intelligence (incl. Robotics)
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