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    Transient spatiotemporal chaos in a Morris-Lecar neuronal ring network collapses to either the rest state or a traveling pulse

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    Author
    Keplinger, Keegan
    Keyword
    chaotic behavior in systems
    nonlinear theories
    neural circuitry
    neural networks
    neurobiology
    Metadata
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    URI
    http://hdl.handle.net/11122/11318
    Abstract
    Transient spatiotemporal dynamics exists in an electrically coupled Morris-Lecar neuronal ring network, a theoretical model of an axo-axonic gap junction network. The lifetime of spatiotemporal chaos was found to grow exponentially with network size. Transient dynamics regularly collapses from a chaotic state to either the resting potential or a traveling pulse, indicating the existence of a chaotic saddle. For special conditions, a chaotic attractor can arise in the Morris-Lecar network to which transient chaos can collapse. The short-term outcome of a Morris-Lecar ring network is determined as a function of perturbation configuration. Perturbing small clusters of nearby neurons in the network consistently induced chaos on a resting network. Perturbation on a chaotic network can induce collapse in the network, but transient chaos becomes more resistant to collapse by perturbation when greater external current is applied.
    Description
    Thesis (M.S.) University of Alaska Fairbanks, 2012
    Table of Contents
    1. Introduction -- 1.1. The physics of neurons -- 1.2. Transient spatiotemporal chaos -- 1.3. Synopsis -- 2. Model -- 3. Transient spatiotemporal chaos -- 4. Perturbations on a network at rest -- 5. Perturbations on a nework in the neighborhood of the chaotic saddle -- 6. Conclusions -- 6.1. Outview -- Bibliography.
    Date
    2012-12
    Type
    Thesis
    Collections
    Physics

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