A Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Input

applied math;neuroscience;mathematical model;astrocyte;hippocampus;epilepsy;epileptiform burst;seizure;pyramidal neuron;CA1 neuron;Applied Mathematics

Ferguson, Katie

University of Waterloo

关键词: applied math;    neuroscience;    mathematical model;    astrocyte;    hippocampus;    epilepsy;    epileptiform burst;    seizure;    pyramidal neuron;    CA1 neuron;    Applied Mathematics;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/4494/1/uw-ethesis.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

Over time astrocytes have been thought to function in an auxiliary manner, providingneurons with metabolic and structural support. However, recent researchsuggests they may play a fundamental role in the generation and propagation offocal epileptic seizures by causing synchronized electrical bursts in neurons. Itwould be helpful to have a simple mathematical model that represents this dynamic and incorporates these updated experimental results. We have created atwo-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 properlymodeling the astrocytic input to examine the pathological excitation of theseneurons and subsequent transmission of the signals. In particular, we considerthe intracellular astrocytic calcium fluctuations which are associated with slow inward currents in neighbouring neurons. Using our model, a variety of experimentalresults are reproduced, and comments are made about the potential differencesbetween graded and ;;all-or-none” astrocytes.