Transient spatiotemporal chaos in a Morris-Lecar neuronal ring network collapses to either the rest state or a traveling pulse
dc.contributor.author | Keplinger, Keegan | |
dc.date.accessioned | 2020-10-09T16:22:35Z | |
dc.date.available | 2020-10-09T16:22:35Z | |
dc.date.issued | 2012-12 | |
dc.identifier.uri | http://hdl.handle.net/11122/11318 | |
dc.description | Thesis (M.S.) University of Alaska Fairbanks, 2012 | en_US |
dc.description.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. | en_US |
dc.description.tableofcontents | 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. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | chaotic behavior in systems | en_US |
dc.subject | nonlinear theories | en_US |
dc.subject | neural circuitry | en_US |
dc.subject | neural networks | en_US |
dc.subject | neurobiology | en_US |
dc.title | Transient spatiotemporal chaos in a Morris-Lecar neuronal ring network collapses to either the rest state or a traveling pulse | en_US |
dc.type | Thesis | en_US |
dc.type.degree | ms | en_US |
dc.identifier.department | Department of Physics | en_US |
refterms.dateFOA | 2020-10-09T16:22:35Z |