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Bioheat transfer problem for one-dimensional spherical biological tissues.
Emmanuel Kengne1, Ahmed Lakhssassi1
1Département d'informatique et d'ingénierie, Université du Qué bec en Outaouais, 101 St-Jean-Bosco, Succursale Hull, Gatineau (PQ) J8Y 3G5, Canada.
Mathematical Biosciences
|September 2, 2015
Summary
This study presents a simplified analytical model for heat transfer in biological tissues, offering insights into temperature changes due to tissue properties and cooling. The findings aid in understanding thermal behavior and clinical applications.
Area of Science:
- Biomedical Engineering
- Heat Transfer Physics
- Computational Biology
Background:
- Understanding thermal dynamics in living tissues is crucial for various biomedical applications.
- Existing models often require complex numerical simulations for bioheat transfer analysis.
- Pennes' bioheat equation provides a foundational framework for modeling tissue thermal behavior.
Purpose of the Study:
- To develop a simplified one-dimensional analytical model for heat transfer in spherical biological tissues.
- To provide an exact analytical solution for bioheat transfer problems.
- To investigate the influence of key parameters on temperature distribution within living tissues.
Main Methods:
- Utilized Pennes' bioheat transfer equation with constant blood perfusion.
- Employed the method of separation of variables to derive an analytical solution.
- Analyzed the effects of tissue properties, cooling medium temperature, and localized heating.
Main Results:
- An exact analytical solution for the one-dimensional bioheat transfer model was successfully obtained.
- The study quantifies the impact of tissue characteristics and thermal conditions on temperature profiles.
- Demonstrated the feasibility of using the analytical solution for predictive analysis.
Conclusions:
- The derived analytical solution offers a valuable tool for bioheat transfer research.
- Findings are applicable to thermal behavior analysis, parameter measurement, and temperature field reconstruction.
- The model has potential implications for optimizing clinical treatments involving thermal therapies.
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