Study of the one dimensional and transient bioheat transfer equation: multi-layer solution development and...

Area of Science:

• Biomedical Engineering
• Heat Transfer
• Mathematical Modeling

Background:

• Accurate modeling of bioheat transfer is crucial for understanding thermal therapies and physiological processes.
• Existing models often lack analytical solutions for complex multi-layer tissues with variable heat sources.

Purpose of the Study:

• To derive an analytical solution for the transient one-dimensional bioheat transfer equation in multi-layer tissues.
• To apply this solution to clinical scenarios like magnetic fluid hyperthermia for cancer treatment and environmental effects on the human head.

Main Methods:

• Developed an analytical solution using Bessel series for transient bioheat transfer.
• Modeled multi-layer tissues with temperature-invariant physiological parameters and metabolic heat generation.
• Applied first, second, and third kind boundary conditions in Cartesian, cylindrical, or spherical coordinates.

Main Results:

• The Bessel series solution accurately predicts temperature distributions in multi-layer tissues.
• Simulations for magnetic fluid hyperthermia demonstrated the model's utility in cancer treatment.
• Analysis of a multi-layered human head model revealed effects of environmental conditions and blood vessel heat transfer.

Conclusions:

• The derived analytical solution provides an accurate and efficient tool for bioheat transfer analysis in complex biological systems.
• This model has significant potential for optimizing thermal therapies and understanding physiological responses to thermal environments.