Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/8545
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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