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A finite element analysis of the effect of electrode area and inter-electrode distance on the spatial distribution of the current density in tDCS

dc.contributor.authorPascoal-Faria, Paula
dc.contributor.authorHallett, Mark
dc.contributor.authorMiranda, Pedro Cavaleiro
dc.date.accessioned2025-11-06T16:42:48Z
dc.date.available2025-11-06T16:42:48Z
dc.date.issued2011-11-15
dc.description.abstractWe investigated the effect of electrode area and inter-electrode distance on the spatial distribution of the current density in transcranial direct current stimulation (tDCS). For this purpose, we used the finite element method to compute the distribution of the current density in a four-layered spherical head model using various electrode montages, corresponding to a range of electrode sizes and inter-electrode distances. We found that smaller electrodes required slightly less current to achieve a constant value of the current density at a reference point on the brain surface located directly under the electrode center. Under these conditions, smaller electrodes also produced a more focal current density distribution in the brain, i.e. the magnitude of the current density fell more rapidly with distance from the reference point. The combination of two electrodes with different areas produced an asymmetric current distribution that could lead to more effective and localized neural modulation under the smaller electrode than under the larger one. Focality improved rapidly with decreasing electrode size when the larger electrode sizes were considered but the improvement was less marked for the smaller electrode sizes. Also, focality was not affected significantly by inter-electrode distance unless two large electrodes were placed close together. Increasing the inter-electrode distance resulted in decreased shunting of the current through the scalp and the cerebrospinal fluid, and decreasing electrode area resulted in increased current density on the scalp under the edges of the electrode. Our calculations suggest that when working with conventional electrodes (25–35 cm2), one of the electrodes should be placed just ‘behind’ the target relative to the other electrode, for maximum current density on the target. Also electrodes with areas in the range 3.5–12 cm2 may provide a better compromise between focality and current density in the scalp than the traditional electrodes. Finally, the use of multiple small return electrodes may be more efficient than the use of a single large return electrode.eng
dc.description.sponsorshipThis work was supported in part by the NIH Intramural Program, EUA, by the Foundation for Science and Technology (FCT), Portugal and by project HIVE. The project HIVE acknowledges the financial support of the Future and Emerging Technologies (FET) programme within the Seventh Framework Programme for Research of the European Commission, FET-Open grant 222079. PF gratefully acknowledges the support of FCT under grant SFRH/BD/ 29020/2006 and of Polytechnic Institute of Leiria, Portugal
dc.identifier.citationPaula Faria et al 2011 J. Neural Eng. 8 066017
dc.identifier.doi10.1088/1741-2560/8/6/066017
dc.identifier.issn1741-2560
dc.identifier.issn1741-2552
dc.identifier.urihttp://hdl.handle.net/10400.8/14546
dc.language.isoeng
dc.peerreviewedyes
dc.publisherIOP Publishing
dc.relation.hasversionhttps://iopscience.iop.org/article/10.1088/1741-2560/8/6/066017
dc.relation.ispartofJournal of Neural Engineering
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleA finite element analysis of the effect of electrode area and inter-electrode distance on the spatial distribution of the current density in tDCSeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue6
oaire.citation.titleJournal of Neural Engineering
oaire.citation.volume8
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNamePascoal-Faria
person.givenNamePaula
person.identifier.ciencia-idE01D-874A-4145
person.identifier.orcid0000-0003-1474-9496
relation.isAuthorOfPublicationebb27133-d9ce-4f58-a4ca-f75a786bbc2e
relation.isAuthorOfPublication.latestForDiscoveryebb27133-d9ce-4f58-a4ca-f75a786bbc2e

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