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An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode

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An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode

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dc.contributor.author Romero-Méndez, Ricardo es_ES
dc.contributor.author Berjano, Enrique es_ES
dc.date.accessioned 2018-06-01T04:18:51Z
dc.date.available 2018-06-01T04:18:51Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1024-123X es_ES
dc.identifier.uri http://hdl.handle.net/10251/103122
dc.description.abstract [EN] We present an analytical solution to the electrothermal mathematical model of radiofrequency ablation of biological tissue using a cooled cylindrical electrode. The solution presented here makes use of the method of separation of variables to solve the problem. Green's functions are used for the handling of nonhomogeneous terms, such as effect of electrical currents circulation and the nonhomogeneous boundary condition due to cooling at the electrode surface. The transcendental equation for determination of eigenvalues of this problem is solved using Newton's method, and the integrals that appear in the solution of the problem are obtained by Simpson's rule. The solution obtained here has the possibility of handling different functional dependencies of the source term and nonhomogeneous boundary condition. The solution provides a tool to understand the physics of the problem, as it shows how the solution depends on different parameters, to provide mathematical tools for the design of surgical procedures and to validate other modeling techniques, such as the numerical methods that are frequently used to solve the problem. es_ES
dc.description.sponsorship This work was supported by the Universidad Autonoma de San Luis Potosi (Mexico), which granted Ricardo Romero-Mendez a sabbatical leave to do research in the field of biomedical engineering, and the Government of Spain through the "Plan Estatal de Investigacion, Desarrollo e Innovacion Orientada a los Retos de la Sociedad" (Grants TEC 2014-52383-C3-R and TEC 2014-52383-C3-1-R). en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Limited es_ES
dc.relation MINECO/TEC2014-52383-C3-1-R-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 An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2017/9021616 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.; Berjano, E. (2017). An Analytical Solution for Radiofrequency Ablation with a Cooled Cylindrical Electrode. Mathematical Problems in Engineering. (9021616):1-12. doi:10.1155/2017/9021616 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1155/2017/9021616 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 12 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.issue 9021616 es_ES
dc.relation.pasarela S\328901 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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