A partially averaged system to model neuron responses to interferential current stimulation

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dc.catalogadorpau
dc.contributor.authorCerpa Jeria, Eduardo Esteban
dc.contributor.authorCourdurier Bettancourt, Matías Alejandro
dc.contributor.authorHernandez, Esteban
dc.contributor.authorMedina, Leonel E.
dc.contributor.authorPaduro Williamson, Esteban Andrés
dc.date.accessioned2023-08-04T15:14:47Z
dc.date.available2023-08-04T15:14:47Z
dc.date.issued2023
dc.description.abstractThe interferential current (IFC) therapy is a noninvasive electrical neurostimulation technique intended to activate deep neurons using surface electrodes. In IFC, two independent kilohertz-frequency currents purportedly intersect where an interference field is generated. However, the effects of IFC on neurons within and outside the interference field are not completely understood, and it is unclear whether this technique can reliable activate deep target neurons without side effects. In recent years, realistic computational models of IFC have been introduced to quantify the effects of IFC on brain cells, but they are often complex and computationally costly. Here, we introduce a simplified model of IFC based on the FitzHugh-Nagumo (FHN) model of a neuron. By considering a modified averaging method, we obtain a non-autonomous approximated system, with explicit representation of relevant IFC parameters. For this approximated system we determine conditions under which it reliably approximates the complete FHN system under IFC stimulation, and we mathematically prove its ability to predict nonspiking states. In addition, we perform numerical simulations that show that the interference effect is observed only for a narrow set of IFC parameters and, in particular, for a beat frequency no higher than about 100 [Hz]. Our novel model tailored to the IFC technique contributes to the understanding of neurostimulation modalities using this type of signals, and can have implications in the design of noninvasive electrical stimulation therapies.
dc.fechaingreso.objetodigital2023-08-04
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00285-022-01839-8
dc.identifier.eissn1432-1416
dc.identifier.issn0303-6812
dc.identifier.urihttps://doi.org/10.1007/s00285-022-01839-8
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74349
dc.identifier.wosidWOS:000894485000002
dc.information.autorucInstituto de Ingeniería Matemática y Computacional; Cerpa Jeria, Eduardo Esteban; 0000-0001-9974-324X; 1125488
dc.information.autorucFacultad de Matemáticas; Courdurier Bettancourt, Matías Alejandro; 0000-0002-2161-0356; 1007892
dc.information.autorucFacultad de Matemáticas; Paduro Williamson, Esteban Andrés; 0000-0003-1769-0055; 1207276
dc.issue.numero1
dc.language.isoen
dc.nota.accesoContenido parcial
dc.publisherSPRINGER HEIDELBERG
dc.revistaJournal of Mathematical Biology
dc.rightsacceso restringido
dc.subjectFitzHugh-Nagumo equation
dc.subjectDynamical systems
dc.subjectAveraging
dc.subjectNeurostimulation
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleA partially averaged system to model neuron responses to interferential current stimulation
dc.typeartículo
dc.volumen86
sipa.codpersvinculados1125488
sipa.codpersvinculados1007892
sipa.codpersvinculados1207276
sipa.indexWOS
sipa.trazabilidadWOS;2023-01-17
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