A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy

Benjamin, Oscar, Fitzgerald, Thomas H B, Ashwin, Peter, Tsaneva-Atanasova, Krasimira, Chowdhury, Fahmida, Richardson, Mark P. and Terry, John R. (2012) A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy. Journal of Mathematical Neuroscience, 2. ISSN 2190-8567

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Abstract

We describe a phenomenological model of seizure initiation, consisting of a bistable switch between stable fixed point and stable limit-cycle attractors. We determine a quasi-analytic formula for the exit time problem for our model in the presence of noise. This formula-which we equate to seizure frequency-is then validated numerically, before we extend our study to explore the combined effects of noise and network structure on escape times. Here, we observe that weakly connected networks of 2, 3 and 4 nodes with equivalent first transitive components all have the same asymptotic escape times. We finally extend this work to larger networks, inferred from electroencephalographic recordings from 35 patients with idiopathic generalised epilepsies and 40 controls. Here, we find that network structure in patients correlates with smaller escape times relative to network structures from controls. These initial findings are suggestive that network structure may play an important role in seizure initiation and seizure frequency.

Item Type: Article
Faculty \ School: Faculty of Social Sciences > School of Psychology
Related URLs:
Depositing User: Pure Connector
Date Deposited: 17 Jun 2016 11:01
Last Modified: 24 May 2019 12:36
URI: https://ueaeprints.uea.ac.uk/id/eprint/59389
DOI: 10.1186/2190-8567-2-1

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