Building erudition in the wound healing process: an inflammation model analysis

Abstract

The main four stages of wound healing are hemostasis, inflammation, proliferation, and remodelling. In the inflammation stage, the body rids of pathogens and debris, and prepares for tissue regrowth. An ordinary differential equation model of the inflammation is constructed that expands on previous models and incorporates dynamics reported in the updated literature. The interaction between debris and apoptotic neutrophils, along with classical and alternative macrophages are included. In all, the model incorporates pathogens, debris, apoptotic neutrophils, neutrophil, M1 macrophages, and M2 macrophages. Parameter values are analysed based on 1. experimental data and 2. reported ranges and expected peak times of white blood cells. Next, global sensitivity analyses which is able to test change in parameter values in tandem is conducted to interpret the overall influence each parameter has on white blood cell, debris, and pathogen output.

Keywords:

• Differential equations
• FAST
• global sensitivity analysis
• wound healing
• inflammation

Mathematics Subject Classifications:

• 92-10
• 92C50

Acknowledgments

We would like to acknowledge support from the Graduate School at the University of Texas at Arlington.

Disclosure statement

No potential conflict of interest was reported by the author(s).