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A generic bioheat transfer thermal model for a perfused tissue
Devashish Shrivastava1, J Thomas Vaughan
1Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN 55455, USA. dev@cmrr.umn.edu
A new generic bioheat transfer model (BHTM) was developed to predict tissue temperatures, satisfying energy conservation and vessel-independent heat transfer for any tissue. This model offers a more accurate understanding of thermal dynamics in biological systems.
Area of Science:
- Biomedical Engineering
- Thermal Biology
- Computational Physiology
Background:
- Accurate prediction of tissue temperatures is crucial for understanding physiological processes and developing thermal therapies.
- Existing bioheat transfer models, like Pennes' model, have limitations in their assumptions regarding heat transfer from vasculature.
- A need exists for a versatile thermal model applicable to various tissues under different thermal conditions.
Purpose of the Study:
- To derive a generic bioheat transfer model (BHTM) that satisfies energy conservation and models heat transfer without tracking individual vessels.
- To ensure the model's applicability to both unheated and heated vascularized tissues.
- To compare the derived generic BHTM with the established Pennes' BHTM.
Main Methods:
- Derivation of a generic bioheat transfer model (BHTM) based on conservation of thermal energy in a finite, vascularized tissue.
- Simplifying assumptions were made to obtain two linear coupled differential equations.
- The model utilizes tissue volume-averaged temperature and blood volume-averaged temperature as variables.
Main Results:
- A generic bioheat transfer model (BHTM) was successfully derived, fulfilling the specified criteria.
- Comparison with Pennes' bioheat transfer model revealed that its perfusion term represents a local vasculature-dependent heat transfer coefficient.
- The derived model provides a foundation for more specific tissue thermal modeling.
Conclusions:
- The developed generic BHTM offers a robust framework for predicting temperatures in perfused tissues.
- Pennes' model's perfusion term can be reinterpreted as a heat transfer coefficient, enhancing its physical meaning.
- Future work can adapt the generic BHTM for specific tissues using advanced imaging and numerical simulations.
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