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- H. T. Banks, Shuhua Hu, +6 authors Malcolm J. Birch
- Mathematical biosciences and engineering : MBE
- 2014

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 anâ€¦ (More)

- H. T. Banks, Marie Doumic Jauffret, Carola Kruse, Stephanie Prigent, Human Rezaei
- Journal of biological dynamics
- 2015

We illustrate the use of statistical tools (asymptotic theories of standard error quantification using appropriate statistical models, bootstrapping, and model comparison techniques) in addition toâ€¦ (More)

- H. T. Banks, Malcolm J. Birch, +7 authors John R. Whiteman
- International journal for numerical methods inâ€¦
- 2014

We revisit a method originally introduced by Werder et al. (in Comput. Methods Appl. Mech. Engrg., 190:6685-6708, 2001) for temporally discontinuous Galerkin FEMs applied to a parabolic partialâ€¦ (More)

- Carola Kruse, Simon Shaw
- SIAM J. Scientific Computing
- 2014

In [Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6685â€“6708] Werder et al. demonstrated that time discretizations of the heat equation by a temporally discontinuous Galerkin finite elementâ€¦ (More)

In the formation of large clusters out of small particles, the initializing step is called the nucleation, and consists in the spontaneous reaction of agents which aggregate into small and stableâ€¦ (More)

- Carola Kruse, Matthias Maischak
- Comput. Meth. in Appl. Math.
- 2013

The Galerkin and SDFEM methods are compared for a steady state convection problem. The theoretical part of this work deals with the development of approximation results for continuous solutions onâ€¦ (More)

We illustrate the use of tools (asymptotic theories of standard error quantification using appropriate statistical models, bootstrapping, model comparison techniques) in addition to sensitivity thatâ€¦ (More)

- Mark Brewin, Malcolm J. Birch, +8 authors Stephen E. Greenwald
- Annals of Biomedical Engineering
- 2015

As a first step towards an acoustic localisation device for coronary stenosis to provide a non-invasive means of diagnosing arterial disease, measurements are reported for an agar-based tissueâ€¦ (More)

- Harvey Thomas Banks, Shuhua Hu, +4 authors Stephen E. Greenwald
- 2012

Non-invasive detection, location and characterization of an arterial stenosis (a blockage or partial blockage in the artery) continues to be an important problem in medicine. Partial blockageâ€¦ (More)

- Harvey Thomas Banks, Marie Doumic, Carola Kruse
- Journal of mathematical biology
- 2017

In the formation of large clusters out of small particles, the initializing step is called the nucleation, and consists in the spontaneous reaction of agents which aggregate into small and stableâ€¦ (More)

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