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DC Field | Value | Language |
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dc.contributor.author | Banks, HT | - |
dc.contributor.author | Hu, S | - |
dc.contributor.author | Kenz, Z | - |
dc.contributor.author | Kruse, C | - |
dc.contributor.author | Shaw, S | - |
dc.contributor.author | Whiteman, JR | - |
dc.contributor.author | Brewin, MP | - |
dc.contributor.author | Greenwald, SE | - |
dc.contributor.author | Birch, MJ | - |
dc.date.accessioned | 2014-06-03T10:52:06Z | - |
dc.date.available | 2014-06-03T10:52:06Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Mathematical Biosciences and Engineering, 11(3), 427 - 448, Jun 2014 | en_US |
dc.identifier.issn | 1547-1063 | - |
dc.identifier.uri | http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=9551 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8545 | - |
dc.description | Copyright @ 2013 American Institute of Mathematical Sciences | en_US |
dc.description.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. | en_US |
dc.description.sponsorship | The National Institute of Allergy and Infectious Diseases, the Air Force Office of Scientific Research, the Deopartment of Education and the Engineering and Physical Sciences Research Council (EPSRC). | en_US |
dc.language.iso | en | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.subject | Viscoelastic model | en_US |
dc.subject | Sensitivity analysis | en_US |
dc.subject | Inverse problem | en_US |
dc.subject | Asymptotic theory | en_US |
dc.title | Model validation for a noninvasive arterial stenosis detection problem | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.3934/mbe.2014.11.427 | - |
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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