A modification to the Kuramoto model to simulate epileptic seizures as synchronization.

Autor: Zavaleta-Viveros JA; Facultad de Matemáticas, Universidad Veracruzana, Calle Paseo No. 112, Lote 12, Sección 2a, Villa Nueva, Nuevo Xalapa, 91097, Xalapa, Veracruz, México. pepezavaleta20@gmail.com., Toledo P; Facultad de Matemáticas, Universidad Veracruzana, Calle Paseo No. 112, Lote 12, Sección 2a, Villa Nueva, Nuevo Xalapa, 91097, Xalapa, Veracruz, México., Avendaño-Garrido ML; Facultad de Matemáticas, Universidad Veracruzana, Calle Paseo No. 112, Lote 12, Sección 2a, Villa Nueva, Nuevo Xalapa, 91097, Xalapa, Veracruz, México., Escalante-Martínez JE; Facultad de Ingeniería Mecánica y Eléctrica, Universidad Veracruzana, Prolongación de la Avenida Venustiano Carranza S/N. Colonia Revolución, 93390, Poza Rica, Veracruz, Mexico., López-Meraz ML; Instituto de Investigaciones Cerebrales, Universidad Veracruzana, Dr. Luis Castelazo Ayala s/n, Industrial Ánimas, 91190, Xalapa, Veracruz, México., Ramos-Riera KP; Instituto de Investigaciones Cerebrales, Universidad Veracruzana, Dr. Luis Castelazo Ayala s/n, Industrial Ánimas, 91190, Xalapa, Veracruz, México.
Jazyk: angličtina
Zdroj: Journal of mathematical biology [J Math Biol] 2023 Jun 17; Vol. 87 (1), pp. 9. Date of Electronic Publication: 2023 Jun 17.
DOI: 10.1007/s00285-023-01938-0
Abstrakt: The Kuramoto model was developed to describe the coupling of oscillators, motivated by the natural synchronization phenomena. We are interested in modeling an epileptic seizure considering it as the synchronization of action potentials using and modifying this model. In this article, we propose to modify this model, changing the constant coupling force for a function with logistic growth to simulate the onset and epileptic seizure level in an adult male rat caused by the administration of lithium-pilocarpine. Later, we select some frequencies and their respective amplitude values using an algorithm based on the fast Fourier transform (FFT) from an electroencephalography signal when the rat is in basal conditions. Then, we take these values as the natural frequencies of the oscillators in the modified Kuramoto model, considering every oscillator as a single neuron to simulate the emergence of an epileptic seizure numerically by increasing the synchronization value in the coupling function. Finally, using Dynamic Time Warping algorithm, we compare the simulated signal by the Kuramoto model with an FFT approximation of the epileptic seizure.
(© 2023. The Author(s).)
Databáze: MEDLINE
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