Faculty & Staff Directory
- Assistant Professor
I am an 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 postdoctoral fellowship position at Johns Hopkins University and NIST.
My work involves optimal decision theory, uncertainty quantification, fluid mechanics, optimization, and image analysis, among other topics, and I have collaborated with epidemiologists and optometrists. Current research topics include (but are not limited to): (1) contact lens drug delivery modeling and comparison to experimental data (joint work with D. Anderson at GMU), (2) probabilistic and Markov chain modeling of time-dependent antibody kinetics (joint work with P. Bedekar at JHU/NIST and A. Kearsley at NIST), and (3) modeling and data science approaches to defining and predicting Long COVID (joint work with A. Mollalo at MUSC, G. Shaw at UNC Charlotte, and G. Clarke formerly at Stanford).
I am passionate about science communication. I value presenting my work in an understandable format to stakeholders (immunologists, eye doctors, etc.) and I enjoy attending both mathematics and non-mathematics conferences.
I am an award-winning educator who is committed to quality teaching that champions DEI best practices. I have taught both lower and upper level undergraduate as well as graduate courses. Courses taught include numerical analysis, mathematical biology, probability and statistics, and calculus. Outside of teaching, I am passionate about supporting underrepresented groups in mathematics inside and outside the classroom. I have been active with the Association for Women in Mathematics (AWM) for many years.
Luke RA, Kelly N, Stoner M, Esplin O’Brien J, Ellwein Fix L, Lubkin S (to appear) Towards a mathematical understanding of ventilator-induced lung injury in preterm rat pups. Mathematical Modeling for Women’s Health: a Collaborative Workshop for Women in Mathematical Biology.
Driscoll TA, Braun RJ, Luke RA, Sinopoli S, Phatak A, Dorsch J, Begley CG, Awisi-Gyau D (2023) Fitting ODE models of tear film breakup. Modeling and Artificial Intelligence in Ophthalmology. https://www.maio-journal.com/index.php/MAIO/article/view/128/249
Luke RA, Kearsley AJ, Pisanic N, Manabe YC, Thomas DL, Heaney C, Patrone PN (2023) Modeling in higher dimensions to improve diagnostic testing accuracy: theory and examples for multiplex saliva-based SARS-CoV-2 assays. PLoS ONE 18(3): e0280823. https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0280823
Access the supplemental figures HERE
Luke RA, Kearsley AJ, Patrone PN (2023) Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes. Mathematical Biosciences 358:108982. https://www.sciencedirect.com/science/article/pii/S0025556423000238
Luke RA, Braun RJ, Begley CG (2021) Mechanistic determination of tear film thinning via fitting simplified models to tear breakup. Modeling and Artificial Intelligence in Ophthalmology, 3(1):71-100. https://doi.org/10.35119/maio.v3i1.114
Braun RJ, Luke RA, Driscoll TA, Begley CG (2021) Dynamics and mechanisms for tear breakup (TBU) on the ocular surface. Mathematical Biosciences and Engineering, 18(5):5146-5175. http://aimspress.com/article/doi/10.3934/mbe.2021262
Luke RA, Braun RJ, Driscoll TA, Awisi-Gyau D, Begley CG (2021) Parameter estimation for mixed- mechanism tear film thinning. Bulletin of Mathematical Biology, 83(56). https://link.springer.com/article/10.1007/s11538-021-00871-x
• National Research Council Postdoctoral Fellowship (2022)
• Most Outstanding Poster Award, Early Career Poster Presentation, NIST (2022)
• Wenbo Li Scholarship for Graduate Research, University of Delaware (2021)
• National Eye Institute Travel Grant, Association for Research in Vision and Ophthalmology Annual Meeting (2020)
• Baxter-Sloyer Graduate Teaching Award, University of Delaware (2018)