Abrading the enigma of the wound healing process: Modeling the inflammation, proliferation, and maturation stage

Abstract

Wound healing encompasses a group of processes categorized into overlapping stages known as the inflammation, proliferation, and maturation/remodeling stage. The dynamics of these processes are important in studying outcomes of wound care and determining factors that contribute to certain wound outcomes. A system of ordinary differential equations is constructed for the inflammation, proliferation, and remodeling stage. Parameter sets for this model are investigated based on output dynamics according to the literature and based on experimental data. A bifurcation analysis is conducted to determine sudden changes that can occur in the inflammation system. Fourier Amplitude Sensitivity Test (FAST) is implemented to investigate sensitivity in regard to each mechanism considered. Next, the system is turned into a stochastic differential equation to analyze possible realizations that result from biological random fluctuations.