Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695-8212, United States.
Math Biosci Eng. 2014 Jun;11(3):427-48. doi: 10.3934/mbe.2014.11.427.
A current thrust in medical research is the development of a non-invasive method for detection, localization, and characterization of an arterial stenosis (a blockage or partial blockage in an artery). A method has been proposed to detect shear waves in the chest cavity which have been generated by disturbances in the blood flow resulting from a stenosis. In order to develop this methodology further, we use one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model. We estimate model parameters which give a good fit (in a sense to be precisely defined) to the experimental data, and use asymptotic error theory to provide confidence intervals for parameter estimates. Finally, since a robust error model is necessary for accurate parameter estimates and confidence analysis, we include a comparison of absolute and relative models for measurement error.
医学研究的一个当前趋势是开发一种非侵入性的方法，用于检测、定位和描述动脉狭窄（动脉中的阻塞或部分阻塞）。已经提出了一种方法来检测胸腔内的剪切波，这些剪切波是由狭窄引起的血流干扰产生的。为了进一步发展这种方法，我们使用来自新型声学模型的一维剪切波实验数据来验证相应的粘弹性数学模型。我们估计模型参数，这些参数与实验数据非常吻合（在一个需要精确定义的意义上），并使用渐近误差理论为参数估计提供置信区间。最后，由于准确的参数估计和置信度分析需要稳健的误差模型，我们还包括了绝对和相对测量误差模型的比较。
