A Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Input

dc.contributor.authorFerguson, Katie
dc.date.accessioned2009-06-22T14:01:32Z
dc.date.available2009-06-22T14:01:32Z
dc.date.issued2009-06-22T14:01:32Z
dc.date.submitted2009
dc.description.abstractOver time astrocytes have been thought to function in an auxiliary manner, providing neurons with metabolic and structural support. However, recent research suggests they may play a fundamental role in the generation and propagation of focal epileptic seizures by causing synchronized electrical bursts in neurons. It would be helpful to have a simple mathematical model that represents this dynamic and incorporates these updated experimental results. We have created a two-compartment model of a typical neuron found in the hippocampal CA1 region, an area often thought to be the origin of these seizures. The focus is on properly modeling the astrocytic input to examine the pathological excitation of these neurons and subsequent transmission of the signals. In particular, we consider the intracellular astrocytic calcium fluctuations which are associated with slow inward currents in neighbouring neurons. Using our model, a variety of experimental results are reproduced, and comments are made about the potential differences between graded and “all-or-none” astrocytes.en
dc.identifier.urihttp://hdl.handle.net/10012/4494
dc.language.isoenen
dc.pendingfalseen
dc.publisherUniversity of Waterlooen
dc.subjectapplied mathen
dc.subjectneuroscienceen
dc.subjectmathematical modelen
dc.subjectastrocyteen
dc.subjecthippocampusen
dc.subjectepilepsyen
dc.subjectepileptiform bursten
dc.subjectseizureen
dc.subjectpyramidal neuronen
dc.subjectCA1 neuronen
dc.subject.programApplied Mathematicsen
dc.titleA Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Inputen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentApplied Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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