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Thermal modeling for pulsed radiofrequency ablation: analytical study based on hyperbolic heat conduction
Juan A López Molina1, María J Rivera, Macarena Trujillo
1Applied Mathematics Department, Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia 46022, Spain.
This study models radiofrequency (RF) heating in biological tissues using hyperbolic heat transfer equations (HHTE). It reveals unique temperature peaks traveling at finite speeds, offering new insights into RF thermal wave behavior.
Area of Science:
- Biomedical Engineering
- Thermal Physics
- Electrophysiology
Background:
- Pulsed radiofrequency (RF) heating is crucial in medical applications.
- Understanding thermal wave behavior in biological tissues is essential for safety and efficacy.
- Fourier-based heat transfer models may not fully capture transient thermal phenomena.
Purpose of the Study:
- To model temperature distribution during pulsed RF heating of biological tissue.
- To employ the hyperbolic heat transfer equation (HHTE) accounting for thermal wave behavior.
- To compare HHTE results with those from the Fourier-based heat transfer equation (FHTE).
Main Methods:
- Development of a theoretical model with a spherical electrode embedded in biological tissue.
- Analytical solutions for both HHTE and FHTE were derived.
- Analysis of temperature waveforms based on dimensionless parameters like pulse duration, thermal relaxation time, and position.
Main Results:
- Identified three typical temperature waveforms dependent on RF pulse parameters.
- Observed temperature peaks traveling at finite speeds in the HHTE solution, occurring during both power on and off.
- Demonstrated that temperature profiles result from overlapping delayed heat sources.
Conclusions:
- HHTE provides a more comprehensive model for pulsed RF heating by capturing thermal wave dynamics.
- The study offers a physical explanation for traveling temperature peaks via thermal wave interactions.
- Developed versatile analytical solutions for FHTE and HHTE applicable to various pulsing frequencies and duty cycles.
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