Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state
It has been suggested that during RF thermal ablation of biological tissue the thermal lesion could reach an equilibrium size after 1-2 minutes. Our objective was to determine under which circumstances of electrode geometry (needle-like vs. ball-tip), electrode type (dry vs. cooled) and blood perfu...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015003 |
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| author | J. A. López Molina M. J. Rivera E. Berjano |
| author_facet | J. A. López Molina M. J. Rivera E. Berjano |
| author_sort | J. A. López Molina |
| collection | DOAJ |
| description | It has been suggested that during RF thermal ablation of biological tissue the thermal lesion could reach an equilibrium size after 1-2 minutes. Our objective was to determine under which circumstances of electrode geometry (needle-like vs. ball-tip), electrode type (dry vs. cooled) and blood perfusion the temperature will reach a steady state at any point in the tissue. We solved the bioheat equation analytically both in cylindrical and spherical coordinates and the resultant limit temperatures were compared. Our results demonstrate mathematically that tissue temperature reaches a steady value in all cases except for cylindrical coordinates without the blood perfusion term, both for dry and cooled electrodes, where temperature increases infinitely. This result is only true when the boundary condition far from the active electrode is considered to be at infinitum. In contrast, when a finite and sufficiently large domain is considered, temperature reaches always a steady state. |
| format | Article |
| id | doaj-art-398b2a99d8d8434abab63d9076715eaf |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-398b2a99d8d8434abab63d9076715eaf2025-01-24T02:35:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-11-0113228130110.3934/mbe.2015003Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady stateJ. A. López Molina0M. J. Rivera1E. Berjano2Applied Mathematics Department, Universitat Politècnica de València, Camino de Vera 46022 ValenciaApplied Mathematics Department, Universitat Politècnica de València, Camino de Vera 46022 ValenciaBiomedical Synergy, Electronic Engineering Department, Universitat Politècnica de València, Camino de Vera 46022 ValenciaIt has been suggested that during RF thermal ablation of biological tissue the thermal lesion could reach an equilibrium size after 1-2 minutes. Our objective was to determine under which circumstances of electrode geometry (needle-like vs. ball-tip), electrode type (dry vs. cooled) and blood perfusion the temperature will reach a steady state at any point in the tissue. We solved the bioheat equation analytically both in cylindrical and spherical coordinates and the resultant limit temperatures were compared. Our results demonstrate mathematically that tissue temperature reaches a steady value in all cases except for cylindrical coordinates without the blood perfusion term, both for dry and cooled electrodes, where temperature increases infinitely. This result is only true when the boundary condition far from the active electrode is considered to be at infinitum. In contrast, when a finite and sufficiently large domain is considered, temperature reaches always a steady state.https://www.aimspress.com/article/doi/10.3934/mbe.2015003radiofrequency ablationcooled electrodeanalytical modelthermal ablationtheoreticalmodeling.spherical modelcylindrical modelbioheat equationblood perfusion |
| spellingShingle | J. A. López Molina M. J. Rivera E. Berjano Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state Mathematical Biosciences and Engineering radiofrequency ablation cooled electrode analytical model thermal ablation theoreticalmodeling. spherical model cylindrical model bioheat equation blood perfusion |
| title | Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state |
| title_full | Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state |
| title_fullStr | Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state |
| title_full_unstemmed | Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state |
| title_short | Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state |
| title_sort | electrical thermal analytical modeling of monopolar rf thermal ablation of biological tissues determining the circumstances under which tissue temperature reaches a steady state |
| topic | radiofrequency ablation cooled electrode analytical model thermal ablation theoreticalmodeling. spherical model cylindrical model bioheat equation blood perfusion |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015003 |
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