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Title: | Model validation for a noninvasive arterial stenosis detection problem |
Authors: | Banks, HT Hu, S Kenz, Z Kruse, C Shaw, S Whiteman, JR Brewin, MP Greenwald, SE Birch, MJ |
Keywords: | Viscoelastic model;Sensitivity analysis;Inverse problem;Asymptotic theory |
Issue Date: | 2014 |
Publisher: | American Institute of Mathematical Sciences |
Citation: | Mathematical Biosciences and Engineering, 11(3), 427 - 448, Jun 2014 |
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 both one-dimensional pressure and shear wave experimental data from novel acoustic phantoms to validate corresponding viscoelastic mathematical models, which were developed in a concept paper [8] and refined herein. 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. |
Description: | Copyright @ 2013 American Institute of Mathematical Sciences |
URI: | http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=9551 http://bura.brunel.ac.uk/handle/2438/8545 |
DOI: | http://dx.doi.org/10.3934/mbe.2014.11.427 |
ISSN: | 1547-1063 |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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