Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity
The paper deals with the temperature distribution in multi-layered human skin and subcutaneous tissues (SST). The model suggests the solution of parabolic heat equation together with the boundary conditions for the temperature distribution in SST by assuming the thermal conductivity as a function of...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2014-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000631 |
| _version_ | 1818028367375499264 |
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| author | M.A. Khanday |
| author_facet | M.A. Khanday |
| author_sort | M.A. Khanday |
| collection | DOAJ |
| description | The paper deals with the temperature distribution in multi-layered human skin and subcutaneous tissues (SST). The model suggests the solution of parabolic heat equation together with the boundary conditions for the temperature distribution in SST by assuming the thermal conductivity as a function of temperature.
The model formulation is based on singular non-linear boundary value problem and has been solved using finite difference method. The numerical results were found similar to clinical and computational results. |
| first_indexed | 2024-12-10T05:02:40Z |
| format | Article |
| id | doaj.art-1e56cdb56cee4e20b768aaaa6a19e7c4 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-10T05:02:40Z |
| publishDate | 2014-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-1e56cdb56cee4e20b768aaaa6a19e7c42022-12-22T02:01:21ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-04-0122115215510.1016/j.joems.2013.05.006Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivityM.A. KhandayThe paper deals with the temperature distribution in multi-layered human skin and subcutaneous tissues (SST). The model suggests the solution of parabolic heat equation together with the boundary conditions for the temperature distribution in SST by assuming the thermal conductivity as a function of temperature. The model formulation is based on singular non-linear boundary value problem and has been solved using finite difference method. The numerical results were found similar to clinical and computational results.http://www.sciencedirect.com/science/article/pii/S1110256X13000631ThermoregulationBio-heat modelBoundary value problem |
| spellingShingle | M.A. Khanday Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity Journal of the Egyptian Mathematical Society Thermoregulation Bio-heat model Boundary value problem |
| title | Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| title_full | Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| title_fullStr | Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| title_full_unstemmed | Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| title_short | Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| title_sort | numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity |
| topic | Thermoregulation Bio-heat model Boundary value problem |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000631 |
| work_keys_str_mv | AT makhanday numericalstudyofpartialdifferentialequationstoestimatethermoregulationinhumandermalregionsfortemperaturedependentthermalconductivity |