Richard Braun - Publications

Affiliations: 
Department of Mathematical Sciences University of Delaware, Newark, DE, United States 
Area:
Applied Mathematics

44 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 King-Smith PE, Begley C, Braun RJ. A Perspective on the Use of Fluorescent Imaging to Reveal Mechanisms of Breakup. Current Eye Research. 1-7. PMID 35861694 DOI: 10.1080/02713683.2022.2098981  0.346
2021 Braun RJ, Luke RA, Driscoll TA, Begley CG. Dynamics and mechanisms for tear breakup (TBU) on the ocular surface. Mathematical Biosciences and Engineering : Mbe. 18: 5146-5175. PMID 34517482 DOI: 10.3934/mbe.2021262  0.532
2020 Luke RA, Braun RJ, Driscoll TA, Begley CG, Awisi-Gyau D. Parameter Estimation for Evaporation-Driven Tear Film Thinning. Bulletin of Mathematical Biology. 82: 71. PMID 32506271 DOI: 10.1007/S11538-020-00745-8  0.487
2020 Maki KL, Braun RJ, Barron GA. The influence of a lipid reservoir on the tear film formation. Mathematical Medicine and Biology : a Journal of the Ima. PMID 31990037 DOI: 10.1093/Imammb/Dqz018  0.767
2018 Zhong L, Braun RJ, Begley CG, King-Smith PE. Dynamics of Fluorescent Imaging for Rapid Tear Thinning. Bulletin of Mathematical Biology. PMID 30324271 DOI: 10.1007/S11538-018-0517-0  0.345
2018 Zhong L, Ketelaar CF, Braun RJ, Begley CG, King-Smith PE. Mathematical modelling of glob-driven tear film breakup. Mathematical Medicine and Biology : a Journal of the Ima. PMID 29390061 DOI: 10.1093/Imammb/Dqx021  0.516
2018 Driscoll TA, Braun RJ, Brosch JK. Simulation of parabolic flow on an eye-shaped domain with moving boundary Journal of Engineering Mathematics. 111: 111-126. DOI: 10.1007/S10665-018-9957-7  0.477
2017 Stapf MR, Braun RJ, King-Smith PE. Duplex Tear Film Evaporation Analysis. Bulletin of Mathematical Biology. 79: 2814-2846. PMID 29098537 DOI: 10.1007/s11538-017-0351-9  0.452
2017 Li L, Braun RJ, Henshaw WD, King-Smith PE. Computed flow and fluorescence over the ocular surface. Mathematical Medicine and Biology : a Journal of the Ima. PMID 29036609 DOI: 10.1093/Imammb/Dqx011  0.709
2017 King-Smith PE, Begley CG, Braun RJ. Mechanisms, imaging and structure of tear film breakup. The Ocular Surface. PMID 28935579 DOI: 10.1016/J.Jtos.2017.09.007  0.413
2017 Braun RJ, Driscoll TA, Begley CG, King-Smith PE, Siddique JI. On tear film breakup (TBU): dynamics and imaging. Mathematical Medicine and Biology : a Journal of the Ima. PMID 28339681 DOI: 10.1093/Imammb/Dqw023  0.563
2015 Wu Z, Begley CG, Port N, Bradley A, Braun R, King-Smith E. The Effects of Increasing Ocular Surface Stimulation on Blinking and Tear Secretion. Investigative Ophthalmology & Visual Science. 56: 4211-4220. PMID 26132780 DOI: 10.1167/Iovs.14-16313  0.327
2015 Li L, Braun RJ, Driscoll TA, Henshaw WD, Banks JW, King-Smith PE. Computed tear film and osmolarity dynamics on an eye-shaped domain. Mathematical Medicine and Biology : a Journal of the Ima. PMID 25883248 DOI: 10.1093/Imammb/Dqv013  0.729
2015 Braun RJ, King-Smith PE, Begley CG, Li L, Gewecke NR. Dynamics and function of the tear film in relation to the blink cycle. Progress in Retinal and Eye Research. 45: 132-64. PMID 25479602 DOI: 10.1016/J.Preteyeres.2014.11.001  0.73
2015 Siddique JI, Braun RJ. Tear film dynamics with evaporation, osmolarity and surfactant transport Applied Mathematical Modelling. 39: 255-269. DOI: 10.1016/j.apm.2014.05.006  0.434
2014 Li L, Braun RJ, Maki KL, Henshaw WD, King-Smith PE. Tear film dynamics with evaporation, wetting, and time-dependent flux boundary condition on an eye-shaped domain. Physics of Fluids (Woodbury, N.Y. : 1994). 26: 052101. PMID 24926191 DOI: 10.1063/1.4871714  0.798
2014 Braun RJ, Gewecke NR, Begley CG, King-Smith PE, Siddique JI. A model for tear film thinning with osmolarity and fluorescein. Investigative Ophthalmology & Visual Science. 55: 1133-42. PMID 24458153 DOI: 10.1167/Iovs.13-12773  0.478
2014 Peng CC, Cerretani C, Braun RJ, Radke CJ. Evaporation-driven instability of the precorneal tear film. Advances in Colloid and Interface Science. 206: 250-64. PMID 23842140 DOI: 10.1016/J.Cis.2013.06.001  0.55
2014 Deng Q, Braun RJ, Driscoll TA. Heat transfer and tear film dynamics over multiple blink cycles Physics of Fluids. 26: 071901. DOI: 10.1063/1.4887341  0.73
2013 Deng Q, Braun RJ, Driscoll TA, King-Smith PE. A MODEL FOR THE TEAR FILM AND OCULAR SURFACE TEMPERATURE FOR PARTIAL BLINKS. Interfacial Phenomena and Heat Transfer. 1: 357-381. PMID 25635242 DOI: 10.1615/InterfacPhenomHeatTransfer.v1.i4.40  0.696
2013 King-Smith PE, Reuter KS, Braun RJ, Nichols JJ, Nichols KK. Tear film breakup and structure studied by simultaneous video recording of fluorescence and tear film lipid layer images. Investigative Ophthalmology & Visual Science. 54: 4900-9. PMID 23766476 DOI: 10.1167/Iovs.13-11878  0.424
2012 Braun RJ. Dynamics of the Tear Film Annual Review of Fluid Mechanics. 44: 267-297. DOI: 10.1146/ANNUREV-FLUID-120710-101042  0.471
2012 Li L, Braun RJ. A model for the human tear film with heating from within the eye Physics of Fluids. 24: 062103. DOI: 10.1063/1.4723870  0.694
2012 Braun RJ, Usha R, McFadden GB, Driscoll TA, Cook LP, King-Smith PE. Thin film dynamics on a prolate spheroid with application to the cornea Journal of Engineering Mathematics. 73: 121-138. DOI: 10.1007/S10665-011-9482-4  0.571
2010 Maki KL, Braun RJ, Henshaw WD, King-Smith PE. Tear film dynamics on an eye-shaped domain I: pressure boundary conditions. Mathematical Medicine and Biology : a Journal of the Ima. 27: 227-54. PMID 20064825 DOI: 10.1093/Imammb/Dqp023  0.756
2010 Winter KN, Anderson DM, Braun RJ. A model for wetting and evaporation of a post-blink precorneal tear film. Mathematical Medicine and Biology : a Journal of the Ima. 27: 211-25. PMID 19861501 DOI: 10.1093/imammb/dqp019  0.5
2010 Maki KL, Braun RJ, Ucciferro P, Henshaw WD, King-Smith PE. Tear film dynamics on an eye-shaped domain. Part 2. Flux boundary conditions Journal of Fluid Mechanics. 647: 361-390. DOI: 10.1017/S002211200999382X  0.781
2009 King-Smith PE, Fink BA, Nichols JJ, Nichols KK, Braun RJ, McFadden GB. The contribution of lipid layer movement to tear film thinning and breakup. Investigative Ophthalmology & Visual Science. 50: 2747-56. PMID 19218611 DOI: 10.1167/Iovs.08-2459  0.373
2008 King-Smith PE, Nichols JJ, Nichols KK, Fink BA, Braun RJ. Contributions of evaporation and other mechanisms to tear film thinning and break-up. Optometry and Vision Science : Official Publication of the American Academy of Optometry. 85: 623-30. PMID 18677230 DOI: 10.1097/Opx.0B013E318181Ae60  0.584
2008 Maki KL, Braun RJ, Driscoll TA, King-Smith PE. An overset grid method for the study of reflex tearing. Mathematical Medicine and Biology : a Journal of the Ima. 25: 187-214. PMID 18628245 DOI: 10.1093/Imammb/Dqn013  0.799
2007 Heryudono A, Braun RJ, Driscoll TA, Maki KL, Cook LP, King-Smith PE. Single-equation models for the tear film in a blink cycle: realistic lid motion. Mathematical Medicine and Biology : a Journal of the Ima. 24: 347-77. PMID 17947253 DOI: 10.1093/Imammb/Dqm004  0.804
2007 Braun RJ, King-Smith PE. Model problems for the tear film in a blink cycle: Single-equation models Journal of Fluid Mechanics. 586: 465-490. DOI: 10.1017/S002211200700701X  0.453
2005 King-Smith PE, Fink BA, Braun RJ. Bubbles in the Tear Film, White Lipid Spots and Tear Film Breakup The Ocular Surface. 3: S80. DOI: 10.1016/S1542-0124(12)70458-5  0.477
2005 Braun RJ, Cook LP. Non-Newtonian Tear Film Drainage with Evaporation after a Blink The Ocular Surface. 3: S49. DOI: 10.1016/S1542-0124(12)70362-2  0.491
2004 Naire S, Braun RJ, Snow SA. A 2+1 dimensional insoluble surfactant model for a vertical draining free film Journal of Computational and Applied Mathematics. 166: 385-410. DOI: 10.1016/J.Cam.2003.08.039  0.805
2003 Braun RJ, Fitt AD. Modelling drainage of the precorneal tear film after a blink. Mathematical Medicine and Biology : a Journal of the Ima. 20: 1-28. PMID 12974496 DOI: 10.1093/imammb/20.1.1  0.555
2002 Heidari AH, Braun RJ, Hirsa AH, Snow SA, Naire S. Hydrodynamics of a bounded vertical film with nonlinear surface properties. Journal of Colloid and Interface Science. 253: 295-307. PMID 16290862 DOI: 10.1006/jcis.2002.8533  0.804
2002 Braun RJ, Snow SA, Naire S. Models for gravitationally-driven free-film drainage Journal of Engineering Mathematics. 43: 281-314. DOI: 10.1023/A:1020320404339  0.796
2001 Naire S, Braun RJ, Snow SA. An insoluble surfactant model for a vertical draining free film with variable surface viscosity Physics of Fluids. 13: 2492-2502. DOI: 10.1063/1.1388540  0.807
2000 Naire S, Braun RJ, Snow SA. An Insoluble Surfactant Model for a Vertical Draining Free Film. Journal of Colloid and Interface Science. 230: 91-106. PMID 10998292 DOI: 10.1006/Jcis.2000.7081  0.805
2000 MacGillivray AD, Braun RJ, Tanoğlu G. Perturbation Analysis of a Problem of Carrier's Studies in Applied Mathematics. 104: 293-311. DOI: 10.1111/1467-9590.00136  0.708
1993 McFadden GB, Wheeler AA, Braun RJ, Coriell SR, Sekerka RF. Phase-field models for anisotropic interfaces. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 48: 2016-2024. PMID 9960814 DOI: 10.1103/Physreve.48.2016  0.359
1992 Braun RJ, Davis SH. Cellular instability in rapid directional solidification: Bifurcation theory Acta Metallurgica Et Materialia. 40: 2617-2628. DOI: 10.1016/0956-7151(92)90331-8  0.443
1991 Braun RJ, Davis SH. Oscillatory instabilities in rapid directional solidification: bifurcation theory Journal of Crystal Growth. 112: 670-690. DOI: 10.1016/0022-0248(91)90124-N  0.443
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