Minimal model of interictal and ictal discharges "Epileptor-2"

PLoS Computational Biology
Anton V ChizhovAleksey V Zaitsev

Abstract

Seizures occur in a recurrent manner with intermittent states of interictal and ictal discharges (IIDs and IDs). The transitions to and from IDs are determined by a set of processes, including synaptic interaction and ionic dynamics. Although mathematical models of separate types of epileptic discharges have been developed, modeling the transitions between states remains a challenge. A simple generic mathematical model of seizure dynamics (Epileptor) has recently been proposed by Jirsa et al. (2014); however, it is formulated in terms of abstract variables. In this paper, a minimal population-type model of IIDs and IDs is proposed that is as simple to use as the Epileptor, but the suggested model attributes physical meaning to the variables. The model is expressed in ordinary differential equations for extracellular potassium and intracellular sodium concentrations, membrane potential, and short-term synaptic depression variables. A quadratic integrate-and-fire model driven by the population input current is used to reproduce spike trains in a representative neuron. In simulations, potassium accumulation governs the transition from the silent state to the state of an ID. Each ID is composed of clustered IID-like events. The sod...Continue Reading

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Citations

Sep 13, 2019·PLoS Computational Biology·Anton V ChizhovAleksey V Zaitsev
Mar 16, 2019·PloS One·Anton V ChizhovAleksey V Zaitsev
Sep 29, 2020·PLoS Computational Biology·Jennifer CreaserKrasimira Tsaneva-Atanasova
Jan 9, 2019·Frontiers in Cellular Neuroscience·Dmitry V AmakhinAleksey V Zaitsev
Sep 16, 2020·Brain Sciences·Rodrigo CofréEnzo Tagliazucchi
Nov 26, 2020·IScience·Andreas NoldTatjana Tchumatchenko
Oct 31, 2020·Frontiers in Neuroscience·Yixuan MingYevgeny Berdichevsky
Mar 30, 2021·PLoS Computational Biology·Alberto Pérez-Cervera, Jaroslav Hlinka
May 1, 2021·International Journal of Molecular Sciences·Daniela GandolfiJonathan Mapelli
Jul 6, 2021·Seizure : the Journal of the British Epilepsy Association·Damien DepannemaeckerChristophe Bernard
Sep 17, 2021·Journal of Mathematical Neuroscience·Elif Köksal Ersöz, Fabrice Wendling
Oct 29, 2021·Neural Computation·João Angelo Ferres BroginDouglas Domingues Bueno
Jan 19, 2022·PLoS Computational Biology·Anton V ChizhovAleksey V Zaitsev

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Software Mentioned

Epileptor
Wolfram Mathematica
Delphi
WinWCP5
Pascal

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