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David M. Bortz - Publications

Affiliations: 
Applied Mathematics University of Colorado, Boulder, Boulder, CO, United States 
Area:
Applied Mathematics
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35 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
2020 Dudley HJ, Ren ZJ, Bortz DM. Brain tumor classification in MRI image using convolutional neural network. Mathematical Biosciences and Engineering : Mbe. 17: 6217-6239. PMID 33120596 DOI: 10.3934/Mbe.2020329  0.352
2019 Dudley HJ, Lu L, Ren ZJ, Bortz DM. Sensitivity and Bifurcation Analysis of a Differential-Algebraic Equation Model for a Microbial Electrolysis Cell Siam Journal On Applied Dynamical Systems. 18: 709-728. DOI: 10.1137/18M1172223  0.326
2019 Stotsky JA, Bortz DM. A posteriori error analysis of fluid–structure interactions: Time dependent error Computer Methods in Applied Mechanics and Engineering. 356: 1-15. DOI: 10.1016/J.Cma.2019.07.009  0.349
2018 Nardini JT, Bortz DM. INVESTIGATION OF A STRUCTURED FISHER'S EQUATION WITH APPLICATIONS IN BIOCHEMISTRY. Siam Journal On Applied Mathematics. 78: 1712-1736. PMID 30636816 DOI: 10.1137/16M1108546  0.401
2018 STOTSKY JA, DUKIC V, BORTZ DM. A point process model for generating biofilms with realistic microstructure and rheology European Journal of Applied Mathematics. 29: 1141-1177. DOI: 10.1017/S0956792518000220  0.385
2018 KIGHTLEY EP, PEARSON A, EVANS JA, BORTZ DM. Fragmentation of biofilm-seeded bacterial aggregates in shear flow European Journal of Applied Mathematics. 29: 1062-1078. DOI: 10.1017/S0956792518000074  0.35
2017 Mirzaev I, Bortz DM. A numerical framework for computing steady states of structured population models and their stability. Mathematical Biosciences and Engineering : Mbe. 14: 933-952. PMID 28608704  0.339
2017 Mirzaev I, Bortz DM. A numerical framework for computing steady states of structured population models and their stability. Mathematical Biosciences and Engineering : Mbe. 14: 933-952. PMID 28608703 DOI: 10.3934/Mbe.2017049  0.442
2017 Dukic V, Bortz DM. Uncertainty quantification using probabilistic numerics: application to models in mathematical epidemiology Inverse Problems in Science and Engineering. 26: 223-232. DOI: 10.1080/17415977.2017.1312364  0.367
2016 Mirzaev I, Byrne EC, Bortz DM. An Inverse Problem for a Class of Conditional Probability Measure-Dependent Evolution Equations. Inverse Problems. 32. PMID 28316360 DOI: 10.1088/0266-5611/32/9/095005  0.624
2016 Bortz DM. Characteristic roots for two-lag linear delay differential equations Discrete and Continuous Dynamical Systems - Series B. 21: 2409-2422. DOI: 10.3934/Dcdsb.2016053  0.389
2016 Keck DD, Bortz DM. Generalized sensitivity functions for size-structured population models Journal of Inverse and Ill-Posed Problems. 24. DOI: 10.1515/Jiip-2014-0041  0.699
2016 Stotsky JA, Hammond JF, Pavlovsky L, Stewart EJ, Younger JG, Solomon MJ, Bortz DM. Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM Journal of Computational Physics. 317: 204-222. DOI: 10.1016/J.Jcp.2016.04.027  0.705
2015 Mirzaev I, Bortz DM. Laplacian Dynamics with Synthesis and Degradation. Bulletin of Mathematical Biology. 77: 1013-45. PMID 25795319 DOI: 10.1007/S11538-015-0075-7  0.307
2015 Bortz DM. Eigenvalues for a two-lag linear delay differential equation Ifac Proceedings Volumes (Ifac-Papersonline). 48: 13-16. DOI: 10.1016/J.Ifacol.2015.09.345  0.351
2014 Hammond JF, Stewart EJ, Younger JG, Solomon MJ, Bortz DM. Variable viscosity and density biofilm simulations using an immersed boundary method, Part I: Numerical scheme and convergence results Cmes - Computer Modeling in Engineering and Sciences. 98: 295-340. DOI: 10.3970/Cmes.2014.098.295  0.685
2014 Lambert G, Bergman A, Zhang Q, Bortz D, Austin R. Physics of biofilms: The initial stages of biofilm formation and dynamics New Journal of Physics. 16. DOI: 10.1088/1367-2630/16/4/045005  0.315
2013 Sircar S, Bortz DM. Impact of flow on ligand-mediated bacterial flocculation. Mathematical Biosciences. 245: 314-21. PMID 23917245 DOI: 10.1016/J.Mbs.2013.07.018  0.332
2012 Curtis CW, Bortz DM. Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 066108. PMID 23368005 DOI: 10.1103/Physreve.86.066108  0.361
2012 Thornton MM, Chung-Esaki HM, Irvin CB, Bortz DM, Solomon MJ, Younger JG. Multicellularity and antibiotic resistance in Klebsiella pneumoniae grown under bloodstream-mimicking fluid dynamic conditions. The Journal of Infectious Diseases. 206: 588-95. PMID 22711903 DOI: 10.1093/Infdis/Jis397  0.319
2011 Byrne E, Dzul S, Solomon M, Younger J, Bortz DM. Postfragmentation density function for bacterial aggregates in laminar flow. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 041911. PMID 21599205 DOI: 10.1103/Physreve.83.041911  0.586
2011 Dzul SP, Thornton MM, Hohne DN, Stewart EJ, Shah AA, Bortz DM, Solomon MJ, Younger JG. Contribution of the Klebsiella pneumoniae capsule to bacterial aggregate and biofilm microstructures. Applied and Environmental Microbiology. 77: 1777-82. PMID 21239544 DOI: 10.1128/Aem.01752-10  0.33
2011 Byrne E, Dzul S, Solomon M, Younger J, Bortz DM. Publisher’s Note: Postfragmentation density function for bacterial aggregates in laminar flow [Phys. Rev. E83, 041911 (2011)] Physical Review E. 83. DOI: 10.1103/Physreve.83.049905  0.548
2011 Hammond JF, Bortz DM. Analytical solutions to Fisher's equation with time-variable coefficients Applied Mathematics and Computation. 218: 2497-2508. DOI: 10.1016/J.Amc.2011.03.163  0.684
2010 Nypaver CM, Thornton MM, Yin SM, Bracho DO, Nelson PW, Jones AE, Bortz DM, Younger JG. Dynamics of human complement-mediated killing of Klebsiella pneumoniae. American Journal of Respiratory Cell and Molecular Biology. 43: 585-90. PMID 20008281 DOI: 10.1165/Rcmb.2009-0292Oc  0.308
2008 Chung HM, Cartwright MM, Bortz DM, Jackson TL, Younger JG. Dynamical system analysis of Staphylococcus epidermidis bloodstream infection. Shock (Augusta, Ga.). 30: 518-26. PMID 18317411 DOI: 10.1097/Shk.0B013E31816A0B77  0.374
2008 Bortz DM, Jackson TL, Taylor KA, Thompson AP, Younger JG. Klebsiella pneumoniae flocculation dynamics. Bulletin of Mathematical Biology. 70: 745-68. PMID 18071828 DOI: 10.1007/S11538-007-9277-Y  0.358
2007 Li D, Hohne D, Bortz D, Bull J, Younger J. Modeling bacterial clearance from the bloodstream using computational fluid dynamics and Monte Carlo simulation Journal of Critical Care. 22: 344. DOI: 10.1016/J.Jcrc.2007.10.023  0.319
2006 Bortz DM, Nelson PW. Model selection and mixed-effects modeling of HIV infection dynamics Bulletin of Mathematical Biology. 68: 2005-2025. PMID 16900456 DOI: 10.1007/S11538-006-9084-X  0.337
2006 Ciupe MS, Bivort BL, Bortz DM, Nelson PW. Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models Mathematical Biosciences. 200: 1-27. PMID 16469337 DOI: 10.1016/J.Mbs.2005.12.006  0.309
2006 Younger J, Taylor K, Thompson A, Bortz D. QUANTIFICATION AND MODELING OF AGGREGATE BACTERIAL GROWTH IN SUSPENSION: IMPLICATIONS FOR BACTEREMIA Shock. 25: 79-80. DOI: 10.1097/00024382-200606001-00240  0.312
2005 Banks HT, Bortz DM. A parameter sensitivity methodology in the context of HIV delay equation models. Journal of Mathematical Biology. 50: 607-25. PMID 15614552 DOI: 10.1007/S00285-004-0299-X  0.307
2005 Banks HT, Bortz DM. Inverse problems for a class of measure dependent dynamical systems Journal of Inverse and Ill-Posed Problems. 13: 103-121. DOI: 10.1163/1569394053978515  0.308
2004 Bortz DM, Nelson PW. Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics Bulletin of Mathematical Biology. 66: 1009-1026. PMID 15294416 DOI: 10.1016/J.Bulm.2003.10.011  0.32
2003 Banks HT, Bortz DM, Holte SE. Incorporation of variability into the modeling of viral delays in HIV infection dynamics. Mathematical Biosciences. 183: 63-91. PMID 12604136 DOI: 10.1016/S0025-5564(02)00218-3  0.402
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