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Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation

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Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation

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dc.contributor.author Romero-Méndez, Ricardo es_ES
dc.contributor.author Pérez-Gutiérrez, Francisco G. es_ES
dc.contributor.author Oviedo-Tolentino, Francisco es_ES
dc.contributor.author Berjano, Enrique es_ES
dc.date.accessioned 2019-09-11T20:01:25Z
dc.date.available 2019-09-11T20:01:25Z
dc.date.issued 2019 es_ES
dc.identifier.issn 1024-123X es_ES
dc.identifier.uri http://hdl.handle.net/10251/125579
dc.description.abstract [EN] Needle electrodes, widely used in clinical procedures, are responsible for creating an electric field in the treated biological tissue. This is achieved by setting a constant voltage along the length of their metallic section. In accordance with Laplace's equation, the electric field is spatially non-uniform around the electrode surface. Mathematical modelling can provide useful information on the spatial distribution of electrical fields. Indeed, exact solutions for the electrical problem are indispensable for validating numerical codes. All the analytical models developed to date to solve the needle electrode electrical problem have been one-dimensional models, which assumed an electrode of infinite length. We here propose the first analytical solution based on a two-dimensional model that considers the real length of the electrode in which the Laplace equation is solved through the method of separation of variables, dealing with the nonhomogeneous source term and boundary conditions by Green's functions. On assuming a needle electrode of given length, the problem combines boundary conditions on the electrode boundary (of the first and second kind). Since this rules out using the Sturm-Liouville Theorem, the problem is decomposed into two different problems and the principle of superposition is used. The solution obtained can reproduce a reasonable electric field around the electrode, especially the edge effect characterized by an extremely high gradient around the electrode tip. es_ES
dc.description.sponsorship This work was supported by the Universidad Autonoma de San Luis Potosi (Mexico), which granted R. Romero-Mendez who is on a sabbatical leave to do research in the field of biomedical engineering. This work was supported by the Spanish Ministerio de Ciencia, Innovacion y Universidades under "Programa Estatal de I+D+i Orientada a los Retos de la Sociedad" (grant number: RTI2018-094357-B-C21). es_ES
dc.language Inglés es_ES
dc.publisher Hindawi Limited es_ES
dc.relation AEI/RTI2018-094357-B-C21-AR es_ES
dc.relation.ispartof Mathematical Problems in Engineering es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification TECNOLOGIA ELECTRONICA es_ES
dc.title Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2019/2404818 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Electrónica - Departament d'Enginyeria Electrònica es_ES
dc.description.bibliographicCitation Romero-Méndez, R.; Pérez-Gutiérrez, FG.; Oviedo-Tolentino, F.; Berjano, E. (2019). Analytical Solution for Electrical Problem Forced by a Finite-Length Needle Electrode: Implications in Electrostimulation. Mathematical Problems in Engineering. 1-10. https://doi.org/10.1155/2019/2404818 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1155/2019/2404818 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.relation.pasarela 387633 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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