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Modeling sensitivity and uncertainties in platelet activation models applied on centrifugal pumps for extracorporeal life support

机译:用于体外生命支持的离心泵中血小板激活模型的建模敏感性和不确定性

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摘要

Two platelet activation models were studied with respect to uncertainties of model parameters and variables. The sensitivity was assessed using two direct/deterministic approaches as well as the statistical Monte Carlo method. The first two, are linear in character whereas the latter is non-linear. The platelet activation models were applied on platelets moving within an extracorporeal centrifugal blood pump. The phenomenological, Lagrangian stress- and time-based power law-based models under consideration, have experimentally calibrated parameters and the stress expressed in a scalar form. The sensitivity of the model with respect to model parameters and the expression of the scalar stress was examined focusing on a smaller group of platelets associated with an elevated risk of activation. The results showed a high disparity between the models in terms of platelet activation state, found to depend on the platelets’ trajectory in the pump and the expression used for the scalar stress. Monte Carlo statistics was applied to the platelets at risk for activation and not to the entire platelet population. The method reveals the non-linear sensitivity of the activation models. The results imply that power-law based models have a restricted range of validity. The conclusions of this study apply to both platelet activation and hemolysis models.
机译:关于模型参数和变量的不确定性,研究了两种血小板激活模型。使用两种直接/确定性方法以及统计蒙特卡洛方法评估灵敏度。前两个是线性特征,而后一个是非线性特征。将血小板激活模型应用于在体外离心血泵内移动的血小板。所考虑的基于现象学,基于拉格朗日应力和时间的幂律模型具有实验校准的参数,应力以标量形式表示。针对模型参数和标量应力表达的模型敏感性进行了检查,重点是与活化风险升高相关的一小部分血小板。结果表明,在血小板活化状态方面,模型之间存在很大差异,这取决于泵中血小板的轨迹和标量应力所使用的表达式。蒙特卡洛统计数据应用于有激活风险的血小板,而不是整个血小板群体。该方法揭示了激活模型的非线性敏感性。结果表明,基于幂律的模型的有效范围有限。这项研究的结论适用于血小板活化和溶血模型。

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