Model validation for a noninvasive arterial stenosis detection problem
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...
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| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.427 |
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| author | H. Thomas Banks Shuhua Hu Zackary R. Kenz Carola Kruse Simon Shaw John Whiteman Mark P. Brewin Stephen E. Greenwald Malcolm J. Birch |
| author_facet | H. Thomas Banks Shuhua Hu Zackary R. Kenz Carola Kruse Simon Shaw John Whiteman Mark P. Brewin Stephen E. Greenwald Malcolm J. Birch |
| author_sort | H. Thomas Banks |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d0388d2d800b43d4943cb844fad269df |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d0388d2d800b43d4943cb844fad269df2025-01-24T02:28:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-12-0111342744810.3934/mbe.2014.11.427Model validation for a noninvasive arterial stenosis detection problemH. Thomas Banks0Shuhua Hu1Zackary R. Kenz2Carola Kruse3Simon Shaw4John Whiteman5Mark P. Brewin6Stephen E. Greenwald7Malcolm J. Birch8Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695-8212Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695-8212Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212Brunel Institute of Computational Mathematics, Brunel University, Uxbridge, UB8 3PHBrunel Institute of Computational Mathematics, Brunel University, Uxbridge, UB8 3PHBrunel Institute of Computational Mathematics, Brunel University, Uxbridge, UB8 3PHBlizard Institute, Barts and the London School of Medicine and Dentistry, Queen Mary, University of LondonBlizard Institute, Barts and the London School of Medicine and Dentistry, Queen Mary, University of LondonClinical Physics, Barts Health TrustA 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.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.427asymptotic theory.inverse problemviscoelastic modelsensitivity analysis |
| spellingShingle | H. Thomas Banks Shuhua Hu Zackary R. Kenz Carola Kruse Simon Shaw John Whiteman Mark P. Brewin Stephen E. Greenwald Malcolm J. Birch Model validation for a noninvasive arterial stenosis detection problem Mathematical Biosciences and Engineering asymptotic theory. inverse problem viscoelastic model sensitivity analysis |
| title | Model validation for a noninvasive arterial stenosis detection problem |
| title_full | Model validation for a noninvasive arterial stenosis detection problem |
| title_fullStr | Model validation for a noninvasive arterial stenosis detection problem |
| title_full_unstemmed | Model validation for a noninvasive arterial stenosis detection problem |
| title_short | Model validation for a noninvasive arterial stenosis detection problem |
| title_sort | model validation for a noninvasive arterial stenosis detection problem |
| topic | asymptotic theory. inverse problem viscoelastic model sensitivity analysis |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.427 |
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