Open AccessMathematical model of epileptic discharge propagation
Author(s) -
M. G. Kozeletskaya,
Anton V. Chizhov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1400/3/033014
Subject(s) - ictal , neuroscience , excitable medium , generalization , wave propagation , biological system , physics , electroencephalography , computer science , mechanics , mathematics , psychology , biology , mathematical analysis , optics
Mathematical modelling of epileptic activity of a nervous tissue is an open problem. The previously developed biophysical model Epileptor-2 which describes the excitability of the neural network and the ionic dynamics reproduces ictal (convulsive) and interictal (usually pre-convulsive) discharges as a spatially homogeneous activity. To describe the spatial propagation of the discharges across the cerebral cortex a generalization of the model is proposed, based on an elliptical equation that takes into account the propagation of neuronal impulses via axodendritic trees. Simulated spatio-temporal patterns of extracellular potassium concentration as of the main characteristic of spatial excitability reflect the wave-like nature of the discharge propagation and are comparable with experimental observations. The propagation of neural impulses via axo-dendritic trees may play the main role in the mechanism of propagation of ictal discharges.