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Brain Dynamics An Introduction to Models and Simulations /

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 netwo...

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Main Author: Haken, Hermann. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:2nd ed. 2008.
Series:Springer Series in Synergetics,
Subjects:
Biophysics.
Biological physics.
Medical physics.
Radiation.
Statistical physics.
Dynamical systems.
Applied mathematics.
Engineering mathematics.
Neurosciences.
Artificial intelligence.
Biological and Medical Physics, Biophysics.
Medical and Radiation Physics.
Complex Systems.
Applications of Mathematics.
Artificial Intelligence.
Online Access:https://doi.org/10.1007/978-3-540-75238-7
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.

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