Skin tissue responses to transient heating with memory-dependent derivative.

Area of Science:

• Biomedical Engineering
• Heat Transfer
• Mathematical Modeling

Background:

• Pennes' bio-heat transfer equation is a standard model for thermal analysis in biological tissues.
• Traditional models often assume instantaneous thermal responses, neglecting memory effects.
• Understanding skin tissue thermal behavior is crucial for applications like cryosurgery and thermal therapy.

Purpose of the Study:

• To investigate the impact of a novel memory-dependent derivative on the bio-heat transfer process in skin tissue.
• To analyze the influence of kernel function and time-delay parameters on skin tissue temperature.
• To compare results with traditional models lacking memory-dependent characteristics.

Main Methods:

• The one-dimensional bio-heat transfer equation for skin tissue was formulated using a memory-dependent derivative.
• The Laplace transform technique was employed to analytically solve the governing equation.
• Numerical simulations were performed to examine the effects of kernel functions and time-delay parameters.

Main Results:

• The memory-dependent derivative significantly influences the temperature distribution within the skin tissue.
• The choice of kernel function and the magnitude of the time-delay parameter alter the thermal response.
• Distinct differences in temperature profiles were observed compared to models without memory effects.

Conclusions:

• The concept of memory-dependent derivative provides a more comprehensive approach to modeling heat transfer in skin tissue.
• Time-delay and kernel function are critical parameters that must be considered for accurate thermal predictions.
• This advanced model offers improved insights for thermal management in biomedical applications involving skin tissue.