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Computational study on constant and sinusoidal heating of skin tissue using radial basis functions
1Applied Mathematics & Humanities Department, S.V. National Institute of Technology, Surat, 395007, India.
Computers in Biology and Medicine
|June 23, 2020
Summary
This study analyzes heat distribution in skin tissue using three models: Pennes, single-phase lag, and dual-phase lag. It explores how Fourier and non-Fourier conditions impact heat transfer, providing insights into thermal behavior.
Area of Science:
- Biomedical Engineering
- Heat Transfer
- Computational Modeling
Background:
- Understanding skin's thermal properties is crucial for medical applications like thermal therapy and diagnostics.
- Existing models like Pennes' bioheat equation have limitations in capturing transient heat transfer phenomena.
- Non-Fourier heat conduction effects become significant at higher heating rates or smaller timescales.
Purpose of the Study:
- To investigate and compare heat distribution in skin tissue using Pennes, single-phase lag, and dual-phase lag heat transfer models.
- To analyze the influence of both constant and sinusoidal heat flux boundary conditions on skin's thermal response.
- To evaluate the impact of Fourier and non-Fourier boundary conditions on heat transfer dynamics within the skin.
Main Methods:
- Implementation of three distinct heat transfer models: Pennes bioheat, single-phase lag, and dual-phase lag.
- Application of both Fourier and non-Fourier heat conduction principles.
- Numerical solution using finite difference approximations for temporal variables and radial basis function (RBF) for spatial variables.
- Simulation of constant and sinusoidal heat flux at the skin surface.
Main Results:
- The study quantifies the differences in predicted skin temperature profiles across the three heat transfer models.
- It highlights the significant effects of phase lag parameters in single and dual-phase lag models on transient heat transfer.
- The influence of Fourier versus non-Fourier boundary conditions on temperature distribution and heat flux is elucidated.
Conclusions:
- The dual-phase lag model provides a more comprehensive description of heat transfer in skin tissue compared to the single-phase lag and Pennes models, especially under non-Fourier conditions.
- Boundary condition type (Fourier vs. non-Fourier) significantly alters the predicted thermal response of skin.
- Accurate modeling of heat transfer in skin is essential for developing effective thermal-based medical treatments.
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