| Numerical ranges over finite fields JI Coons, J Jenkins, D Knowles, RA Luke, PX Rault Linear Algebra and its Applications 501, 37-47, 2016 | 21 | 2016 |
| Parameter estimation for evaporation-driven tear film thinning RA Luke, RJ Braun, TA Driscoll, CG Begley, D Awisi-Gyau Bulletin of mathematical biology 82, 1-41, 2020 | 8 | 2020 |
| Parameter estimation for mixed-mechanism tear film thinning RA Luke, RJ Braun, TA Driscoll, D Awisi-Gyau, CG Begley Bulletin of Mathematical Biology 83, 1-39, 2021 | 7 | 2021 |
| Modeling in higher dimensions to improve diagnostic testing accuracy: theory and examples for multiplex saliva-based SARS-CoV-2 antibody assays RA Luke, AJ Kearsley, N Pisanic, YC Manabe, DL Thomas, CD Heaney, ... PloS one 18 (3), e0280823, 2023 | 4 | 2023 |
| Mechanistic determination of tear film thinning via fitting simplified models to tear breakup RA Luke, RJ Braun, CG Begley arXiv preprint arXiv:2101.08351, 2021 | 4 | 2021 |
| Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes RA Luke, AJ Kearsley, PN Patrone Mathematical Biosciences 358, 108982, 2023 | 2 | 2023 |
| Dynamics and mechanisms for tear breakup (TBU) on the ocular surface RJ Braun, RA Luke, TA Driscoll, CG Begley Mathematical Biosciences and Engineering 18 (5), 2021 | 2 | 2021 |
| Fitting ODE models of tear film breakup TA Driscoll, RJ Braun, RA Luke, D Sinopoli, A Phatak, J Dorsch, ... arXiv preprint arXiv:2210.03593, 2022 | 1 | 2022 |
| Prevalence estimation methods for time-dependent antibody kinetics of infected and vaccinated individuals: a graph-theoretic approach P Bedekar, RA Luke, AJ Kearsley arXiv preprint arXiv:2404.09059, 2024 | | 2024 |
| Mathematical models of drug delivery via a contact lens during wear DM Anderson, RA Luke arXiv preprint arXiv:2403.00008, 2024 | | 2024 |
| A mathematical model of drug delivery via a contact lens during wear R Luke, D Anderson Bulletin of the American Physical Society, 2023 | | 2023 |
| Tear Breakup (TBU) Analysis with Fluorescence (FL) and Thermal (TH) imaging RJ Braun, T Driscoll, C Begley, P Situ, A Tichenor, R Luke Investigative Ophthalmology & Visual Science 64 (8), 186-186, 2023 | | 2023 |
| Data and Analysis from Tear Breakup (TBU) in Normal Subjects RJ Braun, TA Driscoll, D Sinopoli, J Dorsch, C Hammond, RA Luke, ... Investigative Ophthalmology & Visual Science 63 (7), 3950–A0230-3950–A0230, 2022 | | 2022 |
| Analysis of tear-film breakup using fluorescence video recordings T Driscoll, R Braun, R Luke, CG Begley | | 2022 |
| Multiclass classification and prevalence estimation with applications to SARS-CoV-2 antibody assays R Luke, PN Patrone, AJ Kearsley | | 2022 |
| Fitting Simplified Models to Machine Learning-Identified Tear Film Breakup RA Luke, RJ Braun, T Driscoll, D Sinopoli, V Yawatkar, L You, A Phatak, ... Investigative Ophthalmology & Visual Science 62 (8), 1315-1315, 2021 | | 2021 |
| Parameter identification for tear film thinning and breakup RA Luke University of Delaware, 2021 | | 2021 |
| Fitting Simple Models of Tear Break Up (TBU) to Fluorescence Data RJ Braun, RA Luke, A Manchel, D Awisi-Gyau, CG Begley Investigative Ophthalmology & Visual Science 61 (7), 353-353, 2020 | | 2020 |
| Characterization of development and Repeatability of Tear breakup shapes D Awisi-Gyau, CG Begley, RJ Braun, RA Luke, AF Tichenor, ... Investigative Ophthalmology & Visual Science 61 (7), 1392-1392, 2020 | | 2020 |
| Evaporation through small “holes” in the lipid layer PE King-Smith, RA Luke, CG Begley, RJ Braun Investigative Ophthalmology & Visual Science 61 (7), 130-130, 2020 | | 2020 |
R J BraunCarl J Rees Chair of Mathematical Sciences, Dept of Mathematical Sciences, University of DelawareVerified email at udel.edu
