Sensitivity analysis and model assessment: Mathematical models for arterial blood flow and blood pressure
Sensitivity analysis and model assessment: Mathematical models for arterial blood flow and blood pressure
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DOI：
10.1007/s10558-007-9047-3
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发表时间：
2008-06-01
期刊：
影响因子：
--
通讯作者：
Olufsen, Mette S.
中科院分区：
文献类型：
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作者：
Ellwein, Laura M.;Tran, Hien T.;Olufsen, Mette S.
近年来，描述心血管系统的数学模型越来越复杂，以更准确地解释生理动力学。为了帮助模型验证和设计，对由Olufsen、Tran、Ottesen、Ellwein、Lipsitz和Novak（J Appl Physiol 99（4）：1523 - 1537，2005）首次提出的心血管模型进行经典的确定性灵敏度分析。该模型使用11个微分状态方程和52个参数来预测动脉血流量和血压。计算模型状态方程相对于每个参数的相对灵敏度解，并为每个参数创建灵敏度排名。参数分为两组：敏感参数和不敏感参数。敏感参数的微小变化对模型解的影响很大，而不敏感参数的变化影响可以忽略不计。该分析成功地将有效参数空间减少了一半以上，计算时间减少了三分之二。此外，设计了一个更简单的模型，保留了原始模型的必要特征，但具有三分之二的状态方程和一半的模型参数。
The complexity of mathematical models describing the cardiovascular system has grown in recent years to more accurately account for physiological dynamics. To aid in model validation and design, classical deterministic sensitivity analysis is performed on the cardiovascular model first presented by Olufsen, Tran, Ottesen, Ellwein, Lipsitz and Novak (J Appl Physiol 99(4): 1523 - 1537, 2005). This model uses 11 differential state equations with 52 parameters to predict arterial blood flow and blood pressure. The relative sensitivity solutions of the model state equations with respect to each of the parameters is calculated and a sensitivity ranking is created for each parameter. Parameters are separated into two groups: sensitive and insensitive parameters. Small changes in sensitive parameters have a large effect on the model solution while changes in insensitive parameters have a negligible effect. This analysis was successfully used to reduce the effective parameter space by more than half and the computation time by two thirds. Additionally, a simpler model was designed that retained the necessary features of the original model but with two-thirds of the state equations and half of the model parameters.