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Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation

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Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation

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dc.contributor.author Trujillo Guillen, Macarena es_ES
dc.contributor.author Berjano, Enrique es_ES
dc.date.accessioned 2014-10-14T10:55:27Z
dc.date.available 2014-10-14T10:55:27Z
dc.date.issued 2013-09
dc.identifier.issn 0265-6736
dc.identifier.uri http://hdl.handle.net/10251/43238
dc.description.abstract Purpose: Although theoretical modelling is widely used to study different aspects of radiofrequency ablation (RFA), its utility is directly related to its realism. An important factor in this realism is the use of mathematical functions to model the temperature dependence of thermal (k) and electrical (sigma) conductivities of tissue. Our aim was to review the piecewise mathematical functions most commonly used for modelling the temperature dependence of k and sigma in RFA computational modelling. Materials and methods: We built a hepatic RFA theoretical model of a cooled electrode and compared lesion dimensions and impedance evolution with combinations of mathematical functions proposed in previous studies. We employed the thermal damage contour D63 to compute the lesion dimension contour, which corresponds to Omega = 1, Omega being local thermal damage assessed by the Arrhenius damage model. Results: The results were very similar in all cases in terms of impedance evolution and lesion size after 6 min of ablation. Although the relative differences between cases in terms of time to first roll-off (abrupt increase in impedance) were as much as 12%, the maximum relative differences in terms of the short lesion (transverse) diameter were below 3.5%. Conclusions: The findings suggest that the different methods of modelling temperature dependence of k and sigma reported in the literature do not significantly affect the computed lesion diameter. es_ES
dc.description.sponsorship This work received financial support from the Spanish Plan Nacional de I þ D þ I del Ministerio de Ciencia e Innovacio´n, grant no. TEC2011-27133-C02-01, and from the PAID-06-11 UPV, grant ref. 1988. The authors alone are responsible for the content and writing of the paper.
dc.language Inglés es_ES
dc.publisher Informa Healthcare es_ES
dc.relation.ispartof International Journal of Hyperthermia es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Tissue characteristics es_ES
dc.subject Theoretical modelling es_ES
dc.subject Thermal conductivity es_ES
dc.subject Radiofrequency ablation es_ES
dc.subject Electrical conductivity es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification TECNOLOGIA ELECTRONICA es_ES
dc.title Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation es_ES
dc.type Reseña es_ES
dc.identifier.doi 10.3109/02656736.2013.807438
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.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-11/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Electrónica - Departament d'Enginyeria Electrònica es_ES
dc.description.bibliographicCitation Trujillo Guillen, M.; Berjano, E. (2013). Review of the mathematical functions used to model the temperature dependence of electrical and thermal conductivities of biological tissue in radiofrequency ablation. International Journal of Hyperthermia. 29(6):590-597. https://doi.org/10.3109/02656736.2013.807438 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.3109/02656736.2013.807438 es_ES
dc.description.upvformatpinicio 590 es_ES
dc.description.upvformatpfin 597 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 29 es_ES
dc.description.issue 6 es_ES
dc.relation.senia 255198
dc.contributor.funder Ministerio de Ciencia e Innovación
dc.contributor.funder Universitat Politècnica de València
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