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).
Read more about this topic: Wound Healing
Famous quotes containing the words simulating, wound, healing, growth and/or perspective:
“Would it be possible to stand still on one spot more majestically—while simulating a triumphant march forward—than it is done by the two English Houses of Parliament?”
—Alexander Herzen (1812–1870)
“Where we come from in America no longer signifies—it’s where we go, and what we do when we get there, that tells us who we are.
The irony of the role of women in my business, and in so many other places, too, was that while we began by demanding that we be allowed to mimic the ways of men, we wound up knowing we would have to change those ways. Not only because those ways were not like ours, but because they simply did not work.”
—Anna Quindlen (b. 1952)
“In the deserts of the heart
Let the healing fountain start,
In the prison of his days
Teach the free man how to praise.”
—W.H. (Wystan Hugh)
“But parents can be understanding and accept the more difficult stages as necessary times of growth for the child. Parents can appreciate the fact that these phases are not easy for the child to live through either; rapid growth times are hard on a child. Perhaps it’s a small comfort to know that the harder-to-live-with stages do alternate with the calmer times,so parents can count on getting periodic breaks.”
—Saf Lerman (20th century)
“No one thinks anything silly is suitable when they are an adolescent. Such an enormous share of their own behavior is silly that they lose all proper perspective on silliness, like a baker who is nauseated by the sight of his own eclairs. This provides another good argument for the emerging theory that the best use of cryogenics is to freeze all human beings when they are between the ages of twelve and nineteen.”
—Anna Quindlen (20th century)