The impact of high frequency based stability on the onset of action potentials in neuron models

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dc.catalogadoryvc
dc.contributor.authorCerpa Jeria, Eduardo Esteban
dc.contributor.authorCorrales, Nathaly
dc.contributor.authorCourdurier Bettancourt, Matías Alejandro
dc.contributor.authorMedina, Leonel E.
dc.contributor.authorPaduro, Esteban
dc.date.accessioned2025-03-27T18:28:33Z
dc.date.available2025-03-27T18:28:33Z
dc.date.issued2024
dc.description.abstractThis paper studies the phenomenon of conduction block in model neurons using high-frequency biphasic stimulation (HFBS). The focus is investigating the triggering of undesired onset action potentials when the HFBS is turned on. The approach analyzes the transient behavior of an averaged system corresponding to the FitzHugh-Nagumo neuron model using Lyapunov and quasi-static methods. The first result provides a more comprehensive understanding of the onset activation through a mathematical proof of how to avoid it using a ramp in the amplitude of the oscillatory source. The second result tests the response of the blocked system to a piecewise linear stimulus, providing a quantitative description of how the HFBS strength translates into conduction block robustness. The results of this work can provide insights for the design of electrical neurostimulation therapies
dc.fuente.origenORCID
dc.identifier.doi10.1137/24M1645632
dc.identifier.eissn1095-712X
dc.identifier.urihttps://doi.org/10.1137/24M1645632
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/103013
dc.information.autorucInstituto de Ingeniería Matemática y Computacional; Cerpa Jeria Eduardo Esteban; S/I; 1125488
dc.information.autorucFacultad de Matemáticas; Courdurier Bettancourt Matias Alejandro; 0000-0002-2161-0356; 1007892
dc.issue.numero5
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1936
dc.pagina.inicio1910
dc.revistaSIAM Journal on Applied Mathematics
dc.rightsacceso restringido
dc.subjectAveraging
dc.subjectFitzHugh
dc.subjectNagumo equation
dc.subjectNeurostimulation
dc.subjectQuasi-static steering
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleThe impact of high frequency based stability on the onset of action potentials in neuron models
dc.typeartículo
dc.volumen84
sipa.codpersvinculados1125488
sipa.codpersvinculados1007892
sipa.trazabilidadORCID;2025-03-03
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