Mostrar el registro sencillo del ítem
dc.contributor.author | López Molina, Juan Antonio![]() |
es_ES |
dc.contributor.author | Rivera Ortun, María José![]() |
es_ES |
dc.contributor.author | Berjano, Enrique![]() |
es_ES |
dc.date.accessioned | 2017-05-04T12:33:08Z | |
dc.date.available | 2017-05-04T12:33:08Z | |
dc.date.issued | 2014-10-08 | |
dc.identifier.issn | 1471-2946 | |
dc.identifier.uri | http://hdl.handle.net/10251/80585 | |
dc.description.abstract | [EN] Parabolic heat equation based on Fourier's theory (FHE), and hyperbolic heat equation (HHE), has been used to mathematically model the temperature distributions of biological tissue during thermal ablation. However, both equations have certain theoretical limitations. The FHE assumes an infinite thermal energy propagation speed, whereas the HHE might possibly be in breach of the second law of thermodynamics. The relativistic heat equation (RHE) is a hyperbolic-like equation, whose theoretical model is based on the theory of relativity and which was designed to overcome these theoretical impediments. In this study, the three heat equations for modelling of thermal ablation of biological tissues (FHE, HHE and RHE) were solved analytically and the temperature distributions compared. We found that RHE temperature values were always lower than those of the FHE, while the HHE values were higher than the FHE, except for the early stages of heating and at points away from the electrode. Although both HHE and RHE are mathematically hyperbolic, peaks were only found in the HHE temperature profiles. The three solutions converged for infinite time or infinite distance from the electrode. The percentage differences between the FHE and the other equations were larger for higher values of thermal relaxation time in HHE. | es_ES |
dc.description.sponsorship | This work received financial support from the Spanish Government (Ministerio de Ciencia e Innovacion, Ref. TEC2011-27133-C02-01). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Royal Society, The | es_ES |
dc.relation.ispartof | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Analytical model | es_ES |
dc.subject | Fourier heat equation | es_ES |
dc.subject | Hyperbolic heat equation | es_ES |
dc.subject | Radiofrequency ablation | es_ES |
dc.subject | Relativistic heat conduction | es_ES |
dc.subject | Thermal ablation | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.subject.classification | TECNOLOGIA ELECTRONICA | es_ES |
dc.title | Fourier, hyperbolic and relativistic heat transfer equations: a comparative analytical study | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1098/rspa.2014.0547 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//TEC2011-27133-C02-01/ES/MODELADO TEORICO Y EXPERIMENTACION PARA TECNICAS ABLATIVAS BASADAS EN ENERGIAS/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural | es_ES |
dc.description.bibliographicCitation | López Molina, JA.; Rivera Ortun, MJ.; Berjano, E. (2014). Fourier, hyperbolic and relativistic heat transfer equations: a comparative analytical study. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 470:1-16. https://doi.org/10.1098/rspa.2014.0547 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://doi.org/10.1098/rspa.2014.0547 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 16 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 470 | es_ES |
dc.relation.senia | 276476 | es_ES |
dc.identifier.eissn | 1471-2946 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |