Multilevel mathematical model of epileptic seizures

P. Yu. Kondrakhin ; F. A. Kolpakov

Matematičeskaâ biologiâ i bioinformatika, Tome 18 (2023) no. 2, pp. 479-516.

Résumé

The paper presents novel developed modular mathematical model of epileptic seizures, obtained by combining and modifying existing models of epilepsy, which for the first time makes it possible to simulate the dynamics of seizure onset, propagation and termination simultaneously at the cellular and regional levels of brain organization. At the level of individual cells, the dynamics of AMPA receptor trafficking, changes in the concentrations of intra- and extracellular ions, membrane depolarization, and other biophysical processes responsible for the development of ictal activity were calculated. Local field potentials of brain regions were modeled at the regional level taking into account cellular processes and the large-scale structure of the brain network. It is shown that the dynamics of submodels used in the structure of the multilevel model corresponds to the dynamics of the original models, the authors of which validated them with experimental data. The theoretical justification of the connections between submodels was given.

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