Model validation for a noninvasive arterial stenosis detection problem

Abstract

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.

High‐order space‐time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling

“…We refer to for a much more detailed treatment of the background to both the biomedical science and the proposed methodology and algorithm; to and for full details of the inverse problem and to for the experimental protocol and findings.…”

“…The material data are taken as ϱ = 1010 kg∕m 3 , E 0 = 167 kPa and ν = 0.44 (the Voigt term was set to zero: ). High quality estimates for the viscoelastic parameters have now appeared in but, for the sake of illustration here, we simply took ϕ 0 = 0.2, ϕ 1 = 0.8 and τ 1 = 2 with N ϕ = 1 in . The spatial discretization used in the succeeding text is a SEM on, mostly, a 13 (radial) by 25 (axial) uniform mesh of bicubics supported on tensor products of the Gauss–Lobatto nodes.…”