O’Hanlon J*, Sullivan K*, Muehling LM, Canderan G, Sun J, Woodfolk JA, Wilson JM, and Luke RA (2026) A probabilistic modeling analysis of the longitudinal immune response to infection and vaccination across demographic groups and pulmonary symptoms. Spora: A Journal of Biomathematics, 12(1):59-75. https://ir.library.illinoisstate.edu/spora/vol12/iss1/5/ (*: student authors)
Bedekar P*, Luke RA*, Kearsley AJ (2025) Prevalence estimation methods for time-dependent antibody kinetics of infected and vaccinated individuals: a Markov chain approach. Bulletin of Mathematical Biology, 87(26). https://link.springer.com/article/10.1007/s11538-024-01402-0 (*: contributed equally)
Anderson DM, Luke RA (2024) Mathematical models of drug delivery via a contact lens during wear. La Matematica. In special collection Mathematical Modeling of the Eye (invited article). https://link.springer.com/article/10.1007/s44007-024-00136-8
Luke RA, Shaw GJ, Clarke GS, Mollalo A (2024) Identifying long COVID definitions, predictors, and risk factors in the United States: a scoping review of data sources utilizing electronic health records. Informatics, 11(41). https://www.mdpi.com/2227-9709/11/2/41
Luke RA, Kelly N, Stoner M, Esplin O’Brien J, Ellwein Fix L, Lubkin S (2024) Towards a mathematical understanding of ventilator-induced lung injury in preterm rat pups. Mathematical Modeling for Women’s Health. The IMA Volumes in Mathematics and its Applications, 166:167-211. https://link.springer.com/chapter/10.1007/978-3-031-58516-6_6
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 5(1):1-36. https://www.maio-journal.com/index.php/MAIO/article/view/128
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
Luke RA, Braun RJ, Driscoll TA, Begley CG, Awisi-Gyau D (2020) Parameter estimation for evaporation-driven tear film thinning. Bulletin of Mathematical Biology, 82(71). https://link.springer.com/article/10.1007/s11538-020-00745-8
Coons JI, Jenkins J, Knowles D, Luke RA, Rault PX (2016) Numerical ranges over finite fields. Linear Algebra and its Applications, 501:37-47. https://www.sciencedirect.com/science/article/pii/S0024379516300106#!
For more detailed information, see my CV and Google Scholar.