Mathematical Model of Fibrin Polymerization
Mathematical Model of Fibrin Polymerization
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DOI：
10.1051/mmnp/20116705
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发表时间：
2011-01-01
影响因子：
2.2
通讯作者：
Starozhilova, T. K.
中科院分区：
文献类型：
--
作者：
Lobanov, A. I.;Nikolaev, A. V.;Starozhilova, T. K.
血液凝固系统（BCS）建模是一个重要的问题，在医学和生物物理学中有着广泛的应用。BCS的主要功能是在损伤部位形成局部凝块，防止失血。以纤维蛋白聚合物凝胶为主的纤维蛋白凝块与血流的相互影响是BCS正常工作的重要因素。目前的数学模型还没有充分描述纤维蛋白聚合物网状结构的形成过程。这就是为什么不可能确定正在形成的凝块的边界，也不可能建立凝块与血流相互作用的模型。本文的主要目的是提出纤维蛋白聚合和凝胶化的物理数学模型。该模型定义了单位体积内纤维蛋白聚合物纤维的总长度，确定了凝胶和液体之间的边界位置，并允许评估生长凝胶的渗透性。在没有显著结构变化的情况下，可以修改所提出的模型，以包括血液剪切速率对纤维蛋白聚合和凝胶化的影响。
Blood clotting system (BCS) modelling is an important issue with a plenty of applications in medicine and biophysics. The BCS main function is to form a localized clot at the site of injury preventing blood loss. Mutual influence of fibrin clot consisting mainly of fibrin polymer gel and blood flow is an important factor for BCS to function properly. The process of fibrin polymer mesh formation has not adequately been described by current mathematical models. That is why it is not possible to define the borders of growing clot and model its interaction with a blood flow. This paper main goal is to propose physically well-founded mathematical model of fibrin polymerization and gelation. The proposed model defines the total length of fibrin polymer fibers in the unit volume, determines a position of the border between gel and liquid and allows to evaluate the permeability of growing gel. Without significant structural changes the proposed model could be modified to include the blood shear rate influence on the fibrin polymerization and gelation.