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Analysis of Spreading Depolarization as a Traveling Wave in a Neuron-Astrocyte Network

Abstract Details

2017, Master of Mathematical Sciences, Ohio State University, Mathematics.
We analyze an existing neuron-astrocyte network model of spreading depolarization propagated by extracellular K+. We reduce the model to the form of a bistable diffusion equation in extracellular K+ to understand how key parameters influence the underlying traveling wave solution. Our analysis suggests that, when coupled with the maintenance of astrocytic isopotentiality, increased astrocyte K+ permeability and ``instantaneously"-increased sodium-potassium pump strength effectively augment the resistance of the network to spreading depolarization.
David Terman (Advisor)
Joseph Tien (Committee Member)
34 p.

Recommended Citations

Citations

  • Lee, R. A. (2017). Analysis of Spreading Depolarization as a Traveling Wave in a Neuron-Astrocyte Network [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1503308416771087

    APA Style (7th edition)

  • Lee, Ray. Analysis of Spreading Depolarization as a Traveling Wave in a Neuron-Astrocyte Network. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1503308416771087.

    MLA Style (8th edition)

  • Lee, Ray. "Analysis of Spreading Depolarization as a Traveling Wave in a Neuron-Astrocyte Network." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1503308416771087

    Chicago Manual of Style (17th edition)