A SYMBOLIC-ALGEBRAIC MODELING AND COMPUTATIONAL STUDY OF TIME DEPENDENT THERMAL AND MOISTURE BEHAVIOR IN LAYERED HUMAN SKIN

This study presents a two-dimensional symbolic algebraic modeling for coupled heat and moisture transport across the three layers of the skin: epidermis, dermis, and subcutaneous tissue. The model combined Pennes’ bioheat equation with a diffusion-reaction equation. It accounts for evaporation and metabolic fluid generation, enabling a more realistic representation of skin physiology. The finite difference method discretizes the coupled equations, offering computational efficiency as well as numerical stability. The simulations yield physiologically realistic temperature and moisture distributions that capture depth-dependent variations across multiple skin layers. This method improves the scientific understanding of thermal and hydration connections in human skin. It supports applications in thermal diagnostics, burn management, drug delivery, and wearable healthcare technologies.