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A simplified mathematical model for thrombin generation

机译:凝血酶生成的简化数学模型

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摘要

A new phenomenological mathematical model based directly on laboratory data for thrombin generation and having a patient-specific character is described. A set of the solved equations for cell-based models of blood coagulation that can reproduce the temporal evolution of thrombin generation is proposed; such equations are appropriate for use in computational fluid dynamic (CFD) simulations. The initial values for the reaction rates are either taken from already existing model or experimental data, or they can obtained from simple reasoning under certain assumptions; it is shown that coefficients can be adjusted in order to fit a range of different thrombin generation curves as derived from thrombin generation assays. The behaviour of the model for different platelet concentration seems to be in good agreement with reported experimental data. It is shown that the reduced set of equations used represents to a good approximation a low-order model of the detailed mechanism and thus it can represent a cost-effective and-case specific mathematical model of coagulation reactions up to thrombin generation.
机译:描述了一种直接基于用于凝血酶生成的实验室数据并具有患者特定特征的新现象学数学模型。提出了一套基于细胞的凝血模型的求解方程,该方程可以再现凝血酶产生的时间演变;这样的方程式适用于计算流体动力学(CFD)模拟。反应速率的初始值可以从已经存在的模型或实验数据中获取,也可以在某些假设下通过简单的推理获得。结果表明,可以调整系数以适应一系列不同的凝血酶生成曲线,这些曲线是从凝血酶生成测定中得出的。该模型对于不同血小板浓度的行为似乎与报道的实验数据非常吻合。结果表明,所使用的简化方程组很好地代表了详细机理的低阶模型,因此可以代表一种成本效益高且因情况而异的凝血反应直至凝血酶生成的数学模型。

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