Pohl B, Beringer C, Bomhard M, Keller F
Zentrallabor der Medizinischen Universitätsklinik Würzburg, Deutschland.
Haemostasis. 1994 Nov-Dec;24(6):325-37. doi: 10.1159/000217122.
The present paper describes a mathematical model of the kinetics of the extrinsic coagulation cascade in vitro. The coagulation factors FI, FII, FV, FVII, FX, heparin and antithrombin III (ATIII) as well as soluble fibrin polymers are considered. The effect of single-factor deficiencies of the factors II, V, VII and X, diseases like hypo- and dysfibrinogenaemia, hepatic insufficiency, inhibited polymerisation by degradation products, heparin therapy with and without ATIII deficiency and coumarin therapy on prothrombin time can be portrayed. Physiology of coagulation is represented in a dynamic mathematical model as a differential equation system. The model is based on three reaction types: enzymatic cleavage, complex formation and polymerisation. The model was implemented in a continuous simulation program on a personal computer using the Pascal programming language. Unknown rate constants were estimated by chi 2 fit. Prothrombin time calculated by the model was compared to the training set of 20 plasma samples. In most but not all cases the model harmonized quite well with the coagulometric data.
本文描述了体外凝血外源性级联反应动力学的数学模型。该模型考虑了凝血因子FI、FII、FV、FVII、FX、肝素和抗凝血酶III（ATIII）以及可溶性纤维蛋白聚合物。可以描绘出因子II、V、VII和X的单因子缺乏、低纤维蛋白原血症和异常纤维蛋白原血症等疾病、肝功能不全、降解产物抑制聚合、有无ATIII缺乏的肝素治疗以及香豆素治疗对凝血酶原时间的影响。凝血生理学在一个动态数学模型中表示为一个微分方程组。该模型基于三种反应类型：酶促裂解、复合物形成和聚合。该模型使用Pascal编程语言在个人计算机上的连续模拟程序中实现。未知速率常数通过卡方拟合估计。将模型计算的凝血酶原时间与20个血浆样本的训练集进行比较。在大多数但并非所有情况下，该模型与凝血测定数据相当吻合。
