系统循环0d模型的不确定性研究

G. F. Da Silva Filho, R. D. De Queiroz, L. Barra, B. M. Rocha
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引用次数: 0

摘要

对心血管系统进行了深入的研究,以了解心脏和血液循环的复杂本质。如今,我们已经有了很好的计算模型,这些模型在许多方面对理解和分析心脏的生理和病理生理状况很有用。然而,这些模型及其结果在特定患者的临床决策中的实际应用并不简单。在这种情况下,模型预测必须准确可靠,这可以通过量化预测中的不确定性和输入参数的敏感性分析来评估。心血管生理学的集总参数模型可以为临床患者特异性应用提供有用的数据。然而,准确估计这些模型的所有参数是一项艰巨的任务,因此确定最敏感的参数是对这些模型进行校准的重要步骤。我们对系统循环的集总参数模型进行了基于广义多项式混沌展开的不确定性量化和灵敏度分析。这项工作的目的是验证输入参数的不确定性对模型预测的影响,并确定对相关兴趣量有重大贡献的参数。进行了数值实验,结果表明在这些模型的背景下,一组最相关的参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
STUDY OF UNCERTAINTIES ON A 0D MODEL OF THE SYSTEMIC CIRCULATION
Cardiovascular system is intensely researched to understand the intricate nature of the heart and blood circulation. Nowadays we have well evolved computational models which are useful in many ways for the understanding and analysis of physiological and pathophysiological conditions of the heart. However, the practical use of these models and their results for clinical decision making in specific patients is not straightforward. In this context, models predictions must be accurate and reliable, which can be assessed by quantification of uncertainties in the predictions and sensitivity analysis of the input parameters. Lumped parameter models for the cardiovascular physiology can provide useful data for clinical patient-specific applications. However, the accurate estimation of all parameters of these models is a difficult task, and therefore the determination of the most sensitive parameters is an important step towards the calibration of these models. We perform uncertainty quantification and sensitivity analysis based on generalised polynomial chaos expansion in a lumped parameter model for the systemic circulation. The objective of this work is to verify the effect of uncertainties from input parameters on the predictions of the models and to identify parameters that contribute significantly to relevant quantities of interest. Numerical experiments are performed and results indicate a set of the most relevant parameters in the context of these models.
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