Simulating Wound Healing From A Growth Perspective
Considerable effort has been devoted to understanding the physical relationships governing wound healing and subsequent scarring, with mathematical models and simulations developed to elucidate these relationships. The growth of tissue around the wound site is a result of the migration of cells and collagen deposition by these cells. The alignment of collagen describes the degree of scarring; basket-weave orientation of collagen is characteristic of normal skin, whereas aligned collagen fibers lead to significant scarring. It has been shown that the growth of tissue and extent of scar formation can be controlled by modulating the stress at a wound site.
The growth of tissue can be simulated using the aforementioned relationships from a biochemical and biomechanical point of view. The biologically active chemicals that play an important role in wound healing are modeled with Fickian diffusion to generate concentration profiles. The balance equation for open systems when modeling wound healing incorporates mass growth due to cell migration and proliferation. Here the following equation is used:
Dtρ0 = Div (R) + R0,
where ρ represents mass density, R represents a mass flux (from cell migration), and R0 represents a mass source (from cell proliferation, division, or enlargement).
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