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Fractional Beer-Lambert law in laser heating of biological tissue

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Fractional Beer-Lambert law in laser heating of biological tissue

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dc.contributor.author Lizama, Carlos es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Trujillo Guillen, Macarena es_ES
dc.date.accessioned 2023-06-20T18:01:45Z
dc.date.available 2023-06-20T18:01:45Z
dc.date.issued 2022-06-06 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194426
dc.description.abstract [EN] In this article we propose an alternative formulation to model a thermal-optical coupled problem involving laser heating. We show that by using the Fractional Beer-Lambert Law (FBLL) instead of the Beer-Lambert Law (BLL) as the governing equation of the optical problem, the formulation of the laser heat source changes, along with consequently, the distribution of temperatures. Our theoretical findings apply to laser thermal keratoplasty (LTK), used to reduce diopters of hyperopia. We show that the FBLL offers a new approach for heat conduction modeling of laser heating, which is more flexible and could better fit the data in cases where the BLL approach does not fit the data well. Our results can be extended to laser heating of other biological tissues and in other general applications. Our findings imply a new insight to improve the accuracy of thermal models, since they involve a new formulation of the external heat source rather than the heat equation itself. es_ES
dc.description.sponsorship C. Lizama is partially supported by ANID Project FONDECYT 1220036. M. MurilloArcila is supported by MCIN/AEI/10.13039/501100011033, Project PID2019-105011GBI00, and by Generalitat Valenciana, Project PROMETEU/2021/070. M. Trujillo is supported by Grant RTI2018- 094357-B-C21 funded by MCIN/AEI/10.13039/501100011033 (Spanish Ministerio de Ciencia, Innovacion y Universidades ¿ / Agencia Estatal de Investigacion) es_ES
dc.language Inglés es_ES
dc.publisher American Institute of Mathematical Sciences es_ES
dc.relation.ispartof AIMS Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Partial differential equations es_ES
dc.subject Fractional Beer-Lambert law es_ES
dc.subject Laplace transform es_ES
dc.subject Thermal therapies es_ES
dc.subject Heat equation es_ES
dc.subject Corneal laser irradiation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Fractional Beer-Lambert law in laser heating of biological tissue es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3934/math.2022796 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-094357-B-C21/ES/MODELADO Y EXPERIMENTACION PARA TERAPIAS ABLATIVAS INNOVADORAS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDECYT//1220036/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI//PID2019-105011GB-I00//DINAMICA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.description.bibliographicCitation Lizama, C.; Murillo Arcila, M.; Trujillo Guillen, M. (2022). Fractional Beer-Lambert law in laser heating of biological tissue. AIMS Mathematics. 14(4):14444-14459. https://doi.org/10.3934/math.2022796 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3934/math.2022796 es_ES
dc.description.upvformatpinicio 14444 es_ES
dc.description.upvformatpfin 14459 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 14 es_ES
dc.description.issue 4 es_ES
dc.identifier.eissn 2473-6988 es_ES
dc.relation.pasarela S\467244 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Fondo Nacional de Desarrollo Científico y Tecnológico, Chile es_ES
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