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)
“The example of America must be the example, not merely of peace because it will not fight, but of peace because it is the healing and elevating influence of the world, and strife is not. There is such a thing as a man being too proud to fight. There is such a thing as a nation being so right that it does not need to convince others by force that it is right.”
—Woodrow Wilson (1856–1924)
“Rights! There are no rights whatever without corresponding duties. Look at the history of the growth of our constitution, and you will see that our ancestors never upon any occasion stated, as a ground for claiming any of their privileges, an abstract right inherent in themselves; you will nowhere in our parliamentary records find the miserable sophism of the Rights of Man.”
—Samuel Taylor Coleridge (1772–1834)
“The fact that illness is associated with the poor—who are, from the perspective of the privileged, aliens in one’s midst—reinforces the association of illness with the foreign: with an exotic, often primitive place.”
—Susan Sontag (b. 1933)