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Multi-Step Approach for Sensitivity Analysis for a Unified Model of Glucose-Insulin Metabolism ?

机译:血糖 - 胰岛素新陈代谢统一模型的敏感性分析的多步方法

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Mathematical models of biomedical systems often have a high number of uncertain parameters that are difficult or even impossible to estimate precisely. In order to be able to adequately describe the system, it must be known how large the influence of which factors is on the model behavior and how uncertainties in the parameters affect the model accuracy. Sensitivity analysis (SA) offers a possibility to examine to what extent the variance of the model output can be described by the variability of the input factors. In this paper, a multi-step SA is fulfilled for a unified model of glucose-insulin metabolism that consists of an Elementary Effects Test for screening purposes, a functional principal component analysis for dimensionality reduction of the model output variance and a variance-based approach to determine the sensitivity indices. The concept is tested on several scenarios for type 1 and type 2 diabetic patients, as well as non-diabetics. Results show that parameters are of different importance, depending on the type and scenario studied, which should be considered in a further system analysis.
机译:生物医学系统的数学模型通常具有大量不确定的参数,难以甚至不可能估计。为了能够充分描述该系统,必须知道哪些因素对模型行为的影响程度以及参数中的不确定性如何影响模型精度。敏感性分析(SA)提供了在多大程度上检验模型输出的方差可以通过输入因子的可变性来描述。在本文中,满足了多步骤SA,满足了葡萄糖 - 胰岛素代谢的统一模型,该模型包括用于筛选目的的基本效果试验,用于模型输出方差的维度降低的功能主成分分析和基于方差的方法确定灵敏度指数。该概念在型1型和2型糖尿病患者以及非糖尿病患者的情况下进行测试。结果表明,根据所研究的类型和场景,参数具有不同的重要性,这应该在进一步的系统分析中考虑。

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