Mathematical Modeling of Human Wound Healing Dynamics Using Experimental Morphometric Data and a Mechanistic Cell–Matrix ODE Framework

Quantitative modeling of wound healing enables objective assessment of tissue repair kinetics and provides a framework for predicting biological responses under physiological and pathological conditions. Experimental measurements of wound depth, area, and volume were recorded over 14 days. All geometric metrics decreased to zero by day 14, indicating complete closure. Two complementary approaches were developed: an empirical power-law decay model and a mechanistic ordinary differential equation model incorporating inflammatory cells, fibroblasts, collagen deposition, and wound contraction. Both approaches provided accurate descriptions of healing dynamics.