Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/8017
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dc.contributor.authorBanks, HT-
dc.contributor.authorHu, S-
dc.contributor.authorKenz, ZR-
dc.contributor.authorKruse, C-
dc.contributor.authorShaw, S-
dc.contributor.authorWhiteman, JR-
dc.contributor.authorBrewin, MP-
dc.contributor.authorGreenwald, SE-
dc.contributor.authorBirch, MJ-
dc.date.accessioned2014-02-11T15:47:54Z-
dc.date.available2014-02-11T15:47:54Z-
dc.date.issued2013-
dc.identifier.citationJournal of Inverse and III-posed Problems, 21(1), 25 – 57, 2013en_US
dc.identifier.issn0928-0219-
dc.identifier.urihttp://www.degruyter.com/view/j/jip.2013.21.issue-1/jip-2012-0081/jip-2012-0081.xmlen
dc.identifier.urihttp://bura.brunel.ac.uk/handle/2438/8017-
dc.descriptionThis is the post-print version of the final published paper that is available from the link below. Copyright @ 2013 Walter de Gruyter GmbH.en_US
dc.description.abstractNon-invasive detection, localization and characterization of an arterial stenosis (a blockage or partial blockage in the artery) continues to be an important problem in medicine. Partial blockage stenoses are known to generate disturbances in blood flow which generate shear waves in the chest cavity. We examine a one-dimensional viscoelastic model that incorporates Kelvin–Voigt damping and internal variables, and develop a proof-of-concept methodology using simulated data. We first develop an estimation procedure for the material parameters. We use this procedure to determine confidence intervals for the estimated parameters, which indicates the efficacy of finding parameter estimates in practice. Confidence intervals are computed using asymptotic error theory as well as bootstrapping. We then develop a model comparison test to be used in determining if a particular data set came from a low input amplitude or a high input amplitude; this we anticipate will aid in determining when stenosis is present. These two thrusts together will serve as the methodological basis for our continuing analysis using experimental data currently being collected.en_US
dc.description.sponsorshipNational Institute of Allergy and Infectious Diseases, Air Force Office of Scientific Research, Department of Education, and Engineering and Physical Sciences Research Council.en_US
dc.language.isoenen_US
dc.publisherWalter de Gruyter GmbHen_US
dc.subjectViscoelastic modelen_US
dc.subjectSensitivity analysisen_US
dc.subjectInverse problemen_US
dc.subjectAsymptotic theoryen_US
dc.subjectBootstrappingen_US
dc.subjectModel selectionen_US
dc.titleMaterial parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodologyen_US
dc.typeArticleen_US
dc.identifier.doihttp://dx.doi.org/10.1515/jip-2012-0081-
pubs.organisational-data/Brunel-
pubs.organisational-data/Brunel/Brunel Active Staff-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths-
pubs.organisational-data/Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths-
pubs.organisational-data/Brunel/University Research Centres and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups-
pubs.organisational-data/Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel Institute of Computational Mathematics-
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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