Indirect estimation of parameters in a flexible tube, pulsatile flow system Gray, Timothy
dc.contributor.department Engineering Science and Mechanics 2018-08-16T16:31:32.000 2020-07-02T05:57:15Z 2020-07-02T05:57:15Z Thu Jan 01 00:00:00 UTC 1981 1981
dc.description.abstract <p>A mathematical model of pulsatile flow and pressure in a flexible tube with a possible branch and stenosis, or constriction, was formulated. Solution of the model equations was performed by the finite element method and a numerical integration procedure. An in vitro experimental model of pulsatile flow in a flexible tube with a stenosis and a branch was devised to provide observed waveforms and directly measured vessel parameter values. The model response satisfactorily matched the experimental data and exhibited sensitivity to the parameters of interest: vessel compliance, peripheral resistance, and severity and location of the stenosis. The model response was not sensitive to the vessel radius;The Gauss-Newton algorithm was used to minimize the sum of squared error between model response and experimental waveforms by varying the model parameters. Validation of the parameter estimation technique was performed by solving the model equations with measured values assumed for the system parameters and using the resulting waveforms in place of measured data. The vessel radius could not be estimated due to lack of sensitivity. The remaining parameters of interest could be reliably estimated except in the case of a mild stenosis, for which the stenosis location could not be estimated.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 7909
dc.identifier.contextkey 6298619
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/6910
dc.language.iso en
dc.source.bitstream archive/|||Sat Jan 15 01:30:50 UTC 2022
dc.subject.disciplines Applied Mechanics
dc.subject.keywords Engineering science and mechanics
dc.subject.keywords Engineering mechanics
dc.title Indirect estimation of parameters in a flexible tube, pulsatile flow system
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication dissertation Doctor of Philosophy
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