Rayanne Luke she/her/hers

Assistant Professor

George Mason University

I am a tenure-track assistant professor in the Department of Mathematical Sciences at George Mason University working on various mathematical modeling projects that connect to real world data in the realm of mathematical biology and medicine. Before coming to Mason, I was a National Research Council Postdoctoral Associate at the National Institute of Standards and Technology (NIST), and before that I held a joint postdoc with Johns Hopkins University and NIST.

Simultaneous immune state and antibody response tracking

We recently designed a coupled probabilistic and Markov chain model to predict the dynamic antibody response across infections or vaccinations for a virus such as SARS-CoV-2, and estimate disease prevalence over time using unbiased estimators.

The paper was highlighted on the Society for Mathematical Biology (SMB)'s website.

Models of contact lens drug delivery

We designed models to predict the release of drug from a contact lens across 24 hours of blinking and drug transport into and out of various ocular regions, and compare to experimental data.

See also a recent SIAM News blog post on an overview of parameter estimation for tear film breakup, an etiological cause of dry eye disease.

A 2D plot is shown with blue, red, and grey data points. The red points mostly fall in a region colored yellow, the grey in one colored purple, and the blue in one colored light blue. The axes are labeled as Log-scaled N MFI and log-scaled RBD MFI.

Mathematical theory of diagnostic testing

See how we've solved the multiclass classification problem using optimal decision theory coupled with probabilistic modeling and provide new insight into prevalence estimation best practices.

Also check out our 3D modeling paper on modeling in higher dimensions to improve diagnostic testing accuracy.

A rotating GIF shows blue diamond and red X data with yellow and purple domains in 3D space. A green box is drawn around some data.

Get in touch at rluke at gmu dot edu

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