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)
“The history of a soldier’s wound beguiles the pain of it.”
—Laurence Sterne (1713–1768)
“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)
“I conceive that the leading characteristic of the nineteenth century has been the rapid growth of the scientific spirit, the consequent application of scientific methods of investigation to all the problems with which the human mind is occupied, and the correlative rejection of traditional beliefs which have proved their incompetence to bear such investigation.”
—Thomas Henry Huxley (1825–95)
“I know that you, ladies and gentlemen, have a philosophy, each and all of you, and that the most interesting and important thing about you is the way in which it determines the perspective in your several worlds.”
—William James (1842–1910)