Analysis of neural activation in time-dependent membrane capacitance models

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dc.catalogadorvzp
dc.contributor.authorCourdurier Bettancourt, Matias Alejandro
dc.contributor.authorMedina, Leonel E.
dc.contributor.authorPaduro Williamson, Esteban Andrés
dc.date.accessioned2025-05-08T21:03:26Z
dc.date.available2025-05-08T21:03:26Z
dc.date.issued2025
dc.description.abstractMost models of neurons incorporate a capacitor to account for the marked capacitive behavior exhibited by the cell membrane. However, such capacitance is widely considered constant, thereby neglecting the possible effects of time-dependent membrane capacitance on neural excitability. This study presents a modified formulation of a neuron model with time-dependent membrane capacitance and shows that action potentials can be elicited for certain capacitance dynamics. Our main results can be summarized as: (a) it is necessary to have significant and abrupt variations in the capacitance to generate action potentials; (b) certain simple and explicitly constructed capacitance profiles with strong variations do generate action potentials; (c) forcing abrupt changes in the capacitance too frequently may result in no action potentials. These findings can have great implications for the design of ultrasound-based or other neuromodulation strategies acting through transiently altering the membrane capacitance of neurons.
dc.format.extent34 páginas
dc.fuente.origenORCID
dc.identifier.doi10.1007/s00285-025-02218-9
dc.identifier.eissn1432-1416
dc.identifier.issn0303-6812
dc.identifier.urihttps://doi.org/10.1007/s00285-025-02218-9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/104111
dc.information.autorucFacultad de Matemáticas; Courdurier Bettancourt, Matías Alejandro; 0000-0002-2161-0356; 1007892
dc.information.autorucFacultad de Matemáticas; Paduro Williamson, Esteban Andrés; S/I; 1207276
dc.issue.numero58
dc.language.isoen
dc.nota.accesocontenido parcial
dc.publisherSpringer Nature
dc.revistaJournal of Mathematical Biology
dc.rightsacceso restringido
dc.subjectFitzHugh–Nagumo equation
dc.subjectTime-dependent membrane capacitance
dc.subjectNeurostimulation
dc.subjectLIFUS
dc.subject.ddc610
dc.subject.deweyMedicina y saludes_ES
dc.subject.ods03 Good health and well-being
dc.subject.odspa03 Salud y bienestar
dc.titleAnalysis of neural activation in time-dependent membrane capacitance models
dc.typeartículo
dc.volumen90
sipa.codpersvinculados1007892
sipa.codpersvinculados1207276
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