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This paper uses eddy current based techniques and reduced order modeling to explore the feasibility of detecting a subsurface damage in structures such as air foils and pipelines. To identify the geometry of a damage, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical… (More)

- H. T. Banks, Michele L. Joyner
- Appl. Math. Lett.
- 2017

In this note we explain the use of the Akiake Information Criterion and its related model comparison indices (usually derived for maximum likelihood estimator inverse problem formulations) for use with least squares (ordinary, weighted, iterative weighted or ”generalized”, etc.) based inverse problem formulations. The ideas are illustrated with several… (More)

This paper explores the feasibility of detecting damage within structures such as air foils by application of eddy current based techniques and reduced order modeling. To identify the geometry of a damage, an optimization algorithm is employed which requires solving the forward problem numerous times. Therefore, the forward algorithm must be solved with… (More)

- Michele L. Joyner
- Mathematical and Computer Modelling
- 2004

- H. T. Banks, Anna Broido, +4 authors Kathryn Link
- 2011

Abstract Continuous time Markov chains are often used in the literature to model the dynamics of a system with low species count and uncertainty in transitions. In this paper, we investigate three particular algorithms that can be used to numerically simulate continuous time Markov chain models (a stochastic simulation algorithm, explicit and implicit… (More)

- Michele L. Joyner, Cammey C Manning, Brandi N Canter
- Mathematical biosciences and engineering : MBE
- 2012

The increase in antibiotic resistance continues to pose a public health risk as very few new antibiotics are being produced, and bacteria resistant to currently prescribed antibiotics is growing. Within a typical hospital setting, one may find patients colonized with bacteria resistant to a single antibiotic, or, of a more emergent threat, patients may be… (More)

- Michele L. Joyner, Chelsea Ross, Colton Watts, Thomas C. Jones
- Mathematical biosciences and engineering : MBE
- 2014

In this paper, we develop a stochastic differential equation model to simulate the movement of a social/subsocial spider species, Anelosimus studiosus, during prey capture using experimental data collected in a structured environment. In a subsocial species, females and their maturing offspring share a web and cooperate in web maintenance and prey capture.… (More)

- Michele L. Joyner, Cammey C Manning, Whitney Forbes, Michelle D Maiden, Ariel N Nikas
- Mathematical biosciences and engineering : MBE
- 2016

Ertapenem is an antibiotic commonly used to treat a broad spectrum of infections, which is part of a broader class of antibiotics called carbapenem. Unlike other carbapenems, ertapenem has a longer half-life and thus only has to be administered once a day. A physiologically-based pharmacokinetic (PBPK) model was developed to investigate the uptake,… (More)

- Michele L. Joyner
- Applied Mathematics and Computation
- 2006

This paper introduces a computational method for use with eddy current damage detection techniques. To identify the geometry of a subsurface damage, an optimization algorithm is employed which requires solving the forward problem numerous times. In order for the method to be effective in a practical setting, i.e., in real-time applications, the forward… (More)