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    Fundamentals of Computational Neuroscience

    Fundamentals of Computational Neuroscience by Trappenberg, Thomas P.;

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    Product details:

    • Publisher Oxford University Press
    • Date of Publication 13 January 2009

    • ISBN 9780198515838
    • Binding Paperback
    • No. of pages360 pages
    • Size 246x171x19 mm
    • Weight 571 g
    • Language English
    • Illustrations numerous figures
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    Short description:

    Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system.
    Fundamentals of computational neuroscience is the first introductory book to this topic. It introduces the theoretical foundations of neuroscience with a focus on understanding information processing in the brain.
    The book is aimed at those within the brain and cognitive sciences, from graduate level and upwards.

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    Long description:

    Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system. Although not a new area, it is only recently that enough knowledge has been gathered to establish computational neuroscience as a scientific discipline in its own right. Given the complexity of the field, and its increasing importance in progressing our understanding of
    how the brain works, there has long been a need for an introductory text on what is often assumed to be an impenetrable topic.

    Fundamentals of Computational Neuroscience is one of the first introductory books on this topic. It introduces the theoretical foundations of neuroscience with a focus on the nature of information processing in the
    brain. The book covers the introduction and motivation of simplified models of neurons that are suitable for exploring information processing in large brain-like networks. Additionally, it introduces several fundamental network architectures and discusses their relevance for information processing in the brain, giving some examples of models of higher-order cognitive functions to demonstrate the advanced insight that can be gained with such studies.

    Each chapter starts by introducing its topic with experimental facts and conceptual questions related to the study of brain function. An additional feature is the inclusion of simple Matlab programs that can be used to
    explore many of the mechanisms explained in the book. An accompanying webpage includes programs for download. The book is aimed at those within the brain and cognitive sciences, from graduate level and upwards.

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    Table of Contents:

    What is computational Neuroscience?
    Domains in Computational Neuroscience
    What is a model?
    Emergence and adaptation
    From exploration to a theory of the brain
    Some notes on the book
    Modelling biological neurons
    Neurons are specialized cells
    Basic synaptic mechanisms
    The generation of action potentials: Hodgkin-Huxley equations
    Dendritic trees, the propagation of action potentials, and compartmental models
    Above and Beyond the Hodgkin-Huxley neuron: Fatigue, bursting and simplifications
    Integrate-and-fire neurons
    The spike-response model
    Spike time variability
    Noise Models for IF neurons
    Organizations of neuronal networks
    Information transmission in networks
    Population Dynamics: modelling the average behaviour of neurons
    The sigma node
    Networks with non-classical synapses: the sigma-pi node
    How Neurons talk
    Information theory
    Information in spike trains
    Population coding and decoding
    Distributed representation
    Perception, function represntation, and look-up tables
    The sigma node as perception
    Multi-layer mapping networks
    Learning, generalization and biological interpretations
    Self-organizing network architectures and geentic algorighms
    Mapping networks with context units
    Probabilistic mapping networks
    Associative memory and Hebbian learning
    An example of learning association
    The biochemical basis of synaptic plasticity
    The temporal structure of Hebbian plasticity: LTP and LTD
    Mathematical formulation of Hebian plasticity
    Weight distributions
    Neuronal response variability, gain control, and scaling
    Features of associators and Hebbian learning
    Short-term memory and reverberating network activity
    Long-term memory and auto-associators
    Point attractor networks: The Grossberg-Hopfield model
    The phase diagram and the Grossberg-Hopfield model
    Sparse attractor neural networks
    Chaotic networks: a dynamical systems view
    Biologically more realistic variation of attractor networks
    Spatial representations and the sense of directions
    Learning with continuous pattern representations
    Asymptotic states and the dynamics of neural fields
    Path-integration, Hebbian trace rule, and sequence learning
    Competitive networks and self-organizing maps
    Motor learning and control
    The delta rule
    Generalized delta rules
    Reward learning
    System level anatomy of the brain
    Modular mapping networks
    Coupled attractor networks
    Working memory
    Attentive vision
    An interconnecting workspace hypothesis
    Introduction to hte MATLAB programming environment
    Spiking neurons and numerical integration in MATLAB
    Associators and Hebbian learning
    Recurrent networks and networks dynamics
    Continuous attractor neural networks
    Error-backpropagation network
    Some Useful Mathematics
    Basic Probability Theory
    Numerical Integration
    Index

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