Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
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H. Thomas Banks
,
Shuhua Hu
Abstract.
Non-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.
© 2013 by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Masthead
- Data regularization using Gaussian beams decomposition and sparse norms
- Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
- The use of statistical tests to calibrate the normal SABR model
- Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data
- Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
- On a multidimensional integral equation with data supported by low-dimensional analytic manifolds
- Inverse problem for elliptic equation in a Banach space with Bitsadze–Samarsky boundary value conditions
- Certain problems of synchronization theory
Articles in the same Issue
- Masthead
- Data regularization using Gaussian beams decomposition and sparse norms
- Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
- The use of statistical tests to calibrate the normal SABR model
- Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data
- Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
- On a multidimensional integral equation with data supported by low-dimensional analytic manifolds
- Inverse problem for elliptic equation in a Banach space with Bitsadze–Samarsky boundary value conditions
- Certain problems of synchronization theory
