The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation
This work uses the “fractional order bio-heat model” (Fob) model of heat conduction to offer a new interpretation to study the thermal damages in a skin tissue caused by laser irradiation. The influences of fractional order and the thermal relaxation time parameters on the temperature of skin tissue...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/4/602 |
| _version_ | 1797570948246798336 |
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| author | Aatef Hobiny Faris Alzahrani Ibrahim Abbas Marin Marin |
| author_facet | Aatef Hobiny Faris Alzahrani Ibrahim Abbas Marin Marin |
| author_sort | Aatef Hobiny |
| collection | DOAJ |
| description | This work uses the “fractional order bio-heat model” (Fob) model of heat conduction to offer a new interpretation to study the thermal damages in a skin tissue caused by laser irradiation. The influences of fractional order and the thermal relaxation time parameters on the temperature of skin tissue and the resulting thermal damage are studied. In the Laplace domain, the analytical solutions of temperature are obtained. Using the equation of Arrhenius, the resulting thermal injury to the tissues is assessed by the denatured protein ranges. The numerical results of the thermal damages and temperature are presented graphically. A parametric analysis is dedicated to the identifications of suitable procedures for the selection of significant design variables to achieve an effective thermal in the therapy of hyperthermia. |
| first_indexed | 2024-03-10T20:33:36Z |
| format | Article |
| id | doaj.art-19d00545ee344c0c83fb38b0c45e8213 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:33:36Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-19d00545ee344c0c83fb38b0c45e82132023-11-19T21:12:26ZengMDPI AGSymmetry2073-89942020-04-0112460210.3390/sym12040602The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser IrradiationAatef Hobiny0Faris Alzahrani1Ibrahim Abbas2Marin Marin3Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21521, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21521, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21521, Saudi ArabiaDepartment of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, RomaniaThis work uses the “fractional order bio-heat model” (Fob) model of heat conduction to offer a new interpretation to study the thermal damages in a skin tissue caused by laser irradiation. The influences of fractional order and the thermal relaxation time parameters on the temperature of skin tissue and the resulting thermal damage are studied. In the Laplace domain, the analytical solutions of temperature are obtained. Using the equation of Arrhenius, the resulting thermal injury to the tissues is assessed by the denatured protein ranges. The numerical results of the thermal damages and temperature are presented graphically. A parametric analysis is dedicated to the identifications of suitable procedures for the selection of significant design variables to achieve an effective thermal in the therapy of hyperthermia.https://www.mdpi.com/2073-8994/12/4/602fractional derivativeskin tissuesthermal damagesLaplace transforms |
| spellingShingle | Aatef Hobiny Faris Alzahrani Ibrahim Abbas Marin Marin The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation Symmetry fractional derivative skin tissues thermal damages Laplace transforms |
| title | The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation |
| title_full | The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation |
| title_fullStr | The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation |
| title_full_unstemmed | The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation |
| title_short | The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation |
| title_sort | effect of fractional time derivative of bioheat model in skin tissue induced to laser irradiation |
| topic | fractional derivative skin tissues thermal damages Laplace transforms |
| url | https://www.mdpi.com/2073-8994/12/4/602 |
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