Zarnitsina V I, Pokhilko A V, Ataullakhanov F I
National Scientific Center for Hematology, Russian Academy of Medical Sciences, Moscow, Russia.
Thromb Res. 1996 Nov 15;84(4):225-36. doi: 10.1016/s0049-3848(96)00182-x.
We developed and analyzed the mathematical model of the intrinsic pathway based on the current biochemical data on the kinetics of blood coagulation individual stages. The model includes eight differential equations describing the spatio-temporal dynamics of activation of factors XI, IX, X, II, I, VIII, V, and protein C. The assembly of tenase and prothrombinase complexes is considered as a function of calcium concentration. The spatial dynamics of coagulation was analyzed for the one-dimensional case. We examined the formation of active factors, their spreading, and growth of the clot from the site of injury in the direction perpendicular to the vessel wall, into the blood thickness. We assumed that the site of injury (in the model one boundary of the space segment under examination) becomes a source of the continuous influx of factor XIa. In the first part, we described the model, selected the parameters, etc. In the second part, we compared the model with experimental data obtained in the homogeneous system and analyzed the spatial dynamics of the clot growth.
我们基于当前关于血液凝固各个阶段动力学的生化数据，开发并分析了内源性凝血途径的数学模型。该模型包含八个微分方程，描述了因子XI、IX、X、II、I、VIII、V和蛋白C激活的时空动态。凝血酶原酶复合物和凝血酶原激活物复合物的组装被视为钙浓度的函数。分析了一维情况下凝血的空间动态。我们研究了活性因子的形成、它们的扩散以及血凝块从损伤部位垂直于血管壁向血液厚度方向的生长。我们假设损伤部位（在模型中为所研究空间段的一个边界）成为因子XIa持续流入的源头。在第一部分，我们描述了模型、选择了参数等。在第二部分，我们将模型与在均匀系统中获得的实验数据进行了比较，并分析了血凝块生长的空间动态。
