Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
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DOI：
10.1515/jip-2012-0081
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发表时间：
2013-02-01
影响因子：
1.1
通讯作者：
Birch, Malcolm J.
中科院分区：
文献类型：
--
作者：
Banks, H. Thomas;Hu, Shuhua;Birch, Malcolm J.
动脉狭窄（动脉中的阻塞或部分阻塞）的非侵入性检测、定位和表征仍然是医学中的重要问题。已知部分阻塞狭窄会在血流中产生扰动，这会在胸腔中产生剪切波。我们研究了一个一维粘弹性模型，采用Kelvin-Voigt阻尼和内部变量，并开发了一个概念验证的方法，使用模拟数据。我们首先开发的材料参数的估计程序。我们使用这个过程来确定估计参数的置信区间，这表明在实践中找到参数估计的有效性。置信区间的计算使用渐近误差理论以及自举。然后，我们开发了一个模型比较测试，用于确定特定的数据集是否来自低输入幅度或高输入幅度;我们预计这将有助于确定何时存在狭窄。这两个重点一起将作为我们使用目前正在收集的实验数据进行持续分析的方法学基础。
Non-invasive detection, localization and characterization of an arterial stenosis (a blockage or partial blockage in the artery) continues to be an important problem in medicine. Partial blockage stenoses are known to generate disturbances in blood flow which generate shear waves in the chest cavity. We examine a one-dimensional viscoelastic model that incorporates Kelvin-Voigt damping and internal variables, and develop a proof-of-concept methodology using simulated data. We first develop an estimation procedure for the material parameters. We use this procedure to determine confidence intervals for the estimated parameters, which indicates the efficacy of finding parameter estimates in practice. Confidence intervals are computed using asymptotic error theory as well as bootstrapping. We then develop a model comparison test to be used in determining if a particular data set came from a low input amplitude or a high input amplitude; this we anticipate will aid in determining when stenosis is present. These two thrusts together will serve as the methodological basis for our continuing analysis using experimental data currently being collected.