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The Importance of the Numerical Resolution of the Laplace Equation in the optimization of a Neuronal Stimulation Technique

datacite.subject.fosCiências Naturais::Ciências Físicas
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg12:Produção e Consumo Sustentáveis
dc.contributor.authorFaria, Paula
dc.date.accessioned2025-10-31T11:16:31Z
dc.date.available2025-10-31T11:16:31Z
dc.date.issued2010-09-30
dc.descriptionConference name - International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010; Conference date - 19 September 2010 - 25 September 2010
dc.descriptionFonte: https://www.researchgate.net/figure/Comparison-of-the-focality-between-M1-and-M2-The-figures-show-the-area-in-the-brain_fig1_241325865
dc.description.abstractFor the past few years, the potential of transcranial direct current stimulation (tDCS) for the treatment of several pathologies has been investigated. Knowledge of the current density distribution is an important factor in optimizing such applications of tDCS. For this goal, we used the finite element method to solve the Laplace equation in a spherical head model in order to investigate the three dimensional distribution of the current density and the variation of its intensity with depth using different electrodes montages: the traditional one with two sponge electrodes and new electrode montages: with sponge and EEG electrodes and with EEG electrodes varying the numbers of electrodes. The simulation results confirm the effectiveness of the mixed system which may allow the use of tDCS and EEG recording concomitantly and may help to optimize this neuronal stimulation technique. The numerical results were used in a promising application of tDCS in epilepsy.eng
dc.identifier.citationPaula Faria; The Importance of the Numerical Resolution of the Laplace Equation in the optimization of a Neuronal Stimulation Technique. AIP Conf. Proc. 30 September 2010; 1281 (1): 1199–1202. https://doi.org/10.1063/1.3497884.
dc.identifier.doi10.1063/1.3497884
dc.identifier.eissn1551-7616
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/14438
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmerican Institute of Physics
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article-abstract/1281/1/1199/869269/The-Importance-of-the-Numerical-Resolution-of-the?redirectedFrom=fulltext
dc.relation.ispartofAIP Conference Proceedings
dc.rights.uriN/A
dc.subjectFinite Element Method
dc.subjectLaplace Equation
dc.subjectElectric Stimulation
dc.titleThe Importance of the Numerical Resolution of the Laplace Equation in the optimization of a Neuronal Stimulation Techniqueeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1202
oaire.citation.issue1
oaire.citation.startPage1199
oaire.citation.titleAIP Conference Proceedings
oaire.citation.volume1281
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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For the past few years, the potential of transcranial direct current stimulation (tDCS) for the treatment of several pathologies has been investigated. Knowledge of the current density distribution is an important factor in optimizing such applications of tDCS. For this goal, we used the finite element method to solve the Laplace equation in a spherical head model in order to investigate the three dimensional distribution of the current density and the variation of its intensity with depth using different electrodes montages: the traditional one with two sponge electrodes and new electrode montages: with sponge and EEG electrodes and with EEG electrodes varying the numbers of electrodes. The simulation results confirm the effectiveness of the mixed system which may allow the use of tDCS and EEG recording concomitantly and may help to optimize this neuronal stimulation technique. The numerical results were used in a promising application of tDCS in epilepsy.
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