I am working on mathematical model for healing of dermal wounds. For anyone who's a bit familiar with Physics and Math, for the model I use the Cauchy Momentum Equation as a basis, and from there I use already established literature to expand to a so-called morphoelastic model.
From a physical perspective, if a force is exerted, you would expect a material to start moving, upon which stresses arise, until a new balance is found. This all usually happens on a timescale of second. Now when wound healing is regarded, the contraction force is exerted by fibroblasts. I have read that wound contraction happens at a speed of up to 0.75/mm per day. On the one hand this is impressive, yet on the other hand it is very slow when viewed from the mechanical perspective.
So my question is: Is there a biological effect or phenomenon that slows down? Could it be that the migration speed of fibroblasts is the bottle neck? Or maybe skin is in some way tethered to underlying tissue? I know very little about biology, so any help would be appreciated!
Thanks in advance