Towards a more accurate quasi-static approximation of the electric potential for neurostimulation with kilohertz-frequency sources

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dc.catalogadorjca
dc.contributor.authorCaussade, Thomas
dc.contributor.authorPaduro, Esteban
dc.contributor.authorCourdurier, Matias
dc.contributor.authorCerpa, Eduardo
dc.contributor.authorGrill, Warren M.
dc.contributor.authorMedina, Leonel E.
dc.date.accessioned2023-08-28T21:00:36Z
dc.date.available2023-08-28T21:00:36Z
dc.date.issued2023
dc.description.abstractObjective: Our goal was to determine the conditions for which a more precise calculation of the electric potential than the quasi-static approximation may be needed in models of electrical neurostimulation, particularly for signals with kilohertz-frequency components. Approach: We conducted a comprehensive quantitative study of the differences in nerve fiber activation and conduction block when using the quasi-static and Helmholtz approximations for the electric potential in a model of electrical neurostimulation. Main results: We first show that the potentials generated by sources of unbalanced pulses exhibit different transients as compared to those of energy-balanced pulses, and this is disregarded by the quasi-static assumption. Secondly, the relative errors for current-distance curves were below 3%, while for strength-duration curves the variations ranged between 1-17%, but could be improved to less than 3% across the range of pulse duration by providing a corrected quasi-static conductivity. Third, we extended our analysis to trains of pulses and reported a "congruence area" below 700 Hz, where the fidelity of fiber responses is maximal for supra-threshold stimulation. Further examination of waveforms and polarities revealed similar fidelities in the congruence area, but significant differences were observed beyond this area. However, the spike-train distance revealed differences in activation patterns when comparing the response generated by each model. Finally, in simulations of conduction-block, we found that block thresholds exhibited errors above 20% for repetition rates above 10 kHz. Yet, employing a corrected value of the conductivity improved the agreement between models, with errors no greater than 8%. Significance: Our results emphasize that the quasi-static approximation cannot be naively extended to electrical stimulation with high-frequency components, and notable differences can be observed in activation patterns. As well, we introduce a methodology to obtain more precise model responses using the quasi-static approach, which can be a valuable resource in computational neuroengineering.
dc.fechaingreso.objetodigital2023-08-28
dc.fuente.origenORCID
dc.identifier.doi10.1101/2023.08.25.554885
dc.identifier.urihttps://doi.org/10.1101/2023.08.25.554885
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74528
dc.information.autorucFacultad de Matemáticas; Courdurier Bettancourt, Matias Alejandro; 0000-0002-2161-0356; 1007892
dc.information.autorucFacultad de Matemáticas; Paduro Williamson, Esteban Andres; S/I; 1207276
dc.language.isoen
dc.nota.accesoContenido completo
dc.rightsacceso abierto
dc.subjectNeurostimulation
dc.subjectQuasistatic approximation
dc.subjectHelmholtz
dc.subjectKilohertz-frequency signals
dc.subject.ddc500
dc.subject.deweyCienciases_ES
dc.titleTowards a more accurate quasi-static approximation of the electric potential for neurostimulation with kilohertz-frequency sources
dc.typepreprint
sipa.codpersvinculados1007892
sipa.codpersvinculados1207276
sipa.trazabilidadORCID;2023-08-28
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