Guy Robert D, Fogelson Aaron L, Keener James P
Department of Mathematics, University of Utah, 155 South 1400 East, Room 233, Salt Lake City, UT 84112-0090, USA.
Math Med Biol. 2007 Mar;24(1):111-30. doi: 10.1093/imammb/dql022. Epub 2006 Oct 3.
Blood clots are made up of platelets and fibrin gel, and the relative amount of fibrin is strongly influenced by the shear rate. In order to explore this phenomenon, this paper presents a model of fibrin gel formation over the surface of an injured blood vessel in a shear flow. A condition for gelation including source and sink terms of polymer is derived. A simplified model of coagulation, involving activation and inhibition of the enzyme thrombin and thrombin-mediated production of fibrin monomer, is combined with the model of gelation to explore how the shear rate and other parameters control the formation of fibrin gel. The results show that the thrombin inhibition rate, the gel permeability and the shear rate are key parameters in regulating the height of the fibrin gel.
血凝块由血小板和纤维蛋白凝胶组成,纤维蛋白的相对含量受剪切速率的强烈影响。为了探究这一现象,本文提出了一种在剪切流中受损血管表面纤维蛋白凝胶形成的模型。推导了一个包含聚合物源项和汇项的凝胶化条件。一个简化的凝血模型,涉及凝血酶的激活和抑制以及凝血酶介导的纤维蛋白单体生成,与凝胶化模型相结合,以探究剪切速率和其他参数如何控制纤维蛋白凝胶的形成。结果表明,凝血酶抑制率、凝胶渗透率和剪切速率是调节纤维蛋白凝胶高度的关键参数。