Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state
| Autor: | J. A. López Molina, M. J. Rivera, Enrique Berjano |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Ablation Techniques
Spherical model Materials science Steady state (electronics) Quantitative Biology::Tissues and Organs Physics::Medical Physics Models Biological Analytical model Bioheat equation TECNOLOGIA ELECTRONICA Thermal Humans Cylindrical coordinate system Boundary value problem Electrodes Blood perfusion Applied Mathematics Temperature Radiofrequency ablation Spherical coordinate system General Medicine Mechanics Thermal ablation Cylindrical model Computational Mathematics Cooled electrode Modeling and Simulation Electrode MATEMATICA APLICADA General Agricultural and Biological Sciences Theoretical modeling |
| Zdroj: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2015003 |
| Popis: | [EN] 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. This work received financial support from the Spanish "Plan Estatal de Investigacion, Desarrollo e Innovacion Orientada a los Retos de la Sociedad" under Grant TEC2014-52383-C3-R (TEC2014-52383-C3-1-R). |
| Databáze: | OpenAIRE |
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