Geometrical techniques in biomedical modelling

• Main Author: Oshmyansky, Alexander
• Published: University of Oxford 2013
• Subjects: 616.85
• Online Access: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.639731

In this thesis, a cellular automaton model of wave motion is developed with the goal of creating a model of seizure progression. We create a cellular automaton model of seizure progression based upon the model of wave motion. This is compared to existing models from the literature of both seizure progression and neuronal dynamics: good correspondence is found. The model is then used to assist in determining the location of epileptic foci from which seizures originate based on data obtained from intra-operative optical coherence tomography data. A tool based on the cellular automaton model is created, which predicts the location of an epileptic focus based on optical coherence tomography data obtained during surgery. Together, these results suggest that the incorporation of geometrical techniques into mathematical models of seizure activity can provide new insights into underlying pathophysiology.