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| Title: | A Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Input |
| Authors: | Ferguson, Katie |
| Keywords: | applied math
neuroscience
mathematical model
astrocyte
hippocampus
epilepsy
epileptiform burst
seizure
pyramidal neuron
CA1 neuron |
| Approved Date: | 22-Jun-2009 |
| Date Submitted: | 2009 |
| Abstract: | Over 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. |
| Program: | Applied Mathematics |
| Department: | Applied Mathematics |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/4494 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
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