David M. Bortz - Publications

Affiliations: 
Applied Mathematics University of Colorado, Boulder, Boulder, CO, United States 
Area:
Applied Mathematics

35/74 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
Low-probability matches (unlikely to be authored by this person)
2015 Sircar S, Younger JG, Bortz DM. Sticky surface: sphere-sphere adhesion dynamics. Journal of Biological Dynamics. 9: 79-89. PMID 25159830 DOI: 10.1080/17513758.2014.942394  0.298
2013 Satorius AE, Szafranski J, Pyne D, Ganesan M, Solomon MJ, Newton DW, Bortz DM, Younger JG. Complement c5a generation by staphylococcal biofilms. Shock (Augusta, Ga.). 39: 336-42. PMID 23459111 DOI: 10.1097/Shk.0B013E31828D9324  0.297
2006 Chung H, Jackson T, Bortz D, Cartwright M, Younger J. Multiple-compartment bacterial clearance kinetics during murine bacteremia Journal of Critical Care. 21: 359-360. DOI: 10.1016/J.Jcrc.2006.10.030  0.293
2019 Nardini JT, Bortz DM. The influence of numerical error on parameter estimation and uncertainty quantification for advective PDE models Inverse Problems. 35: 065003. DOI: 10.1088/1361-6420/Ab10Bb  0.292
2004 Bauer AL, Bortz D, Gammack D, Ben-David I, Stein A, Jackson T, Younger JG. VIRULENCE OF KLEBSIELLA PNEUMONIAE PREDICTED BY NONLINEAR BIODISTRIBUTIVE MATHEMATICAL MODEL Shock. 21: 29. DOI: 10.1097/00024382-200406002-00085  0.291
2005 Ben-David I, Price SE, Bortz DM, Greineder CF, Cohen SE, Bauer AL, Jackson TL, Younger JG. Dynamics of intrapulmonary bacterial growth in a murine model of repeated microaspiration. American Journal of Respiratory Cell and Molecular Biology. 33: 476-82. PMID 16014897 DOI: 10.1165/Rcmb.2005-0053Oc  0.282
2006 Bortz D. Accurate model selection computations Journal of Critical Care. 21: 359. DOI: 10.1016/J.Jcrc.2006.10.029  0.279
2013 Conrad E, Satorius A, Sharma P, Bortz D, Younger J. The Host Response to Line Sepsis: Experimental and Computational Analysis of Complement Activation against Coagulase-Negative Staphylococcal Biofilms Annals of Emergency Medicine. 62: S153. DOI: 10.1016/J.Annemergmed.2013.07.249  0.278
2013 Conrad EC, Hsu YY, Bortz DM, Younger JG. Spatiotemporal dynamics of complement C5a production within bacterial extracellular polymeric substance. Journal of Innate Immunity. 5: 114-23. PMID 23328643 DOI: 10.1159/000345705  0.273
2024 Messenger DA, Dall'anese E, Bortz DM. Online Weak-form Sparse Identification of Partial Differential Equations. Proceedings of Machine Learning Research. 190: 241-256. PMID 38264277  0.267
2020 Moore KA, Altus S, Tay JW, Meehl JB, Johnson EB, Bortz DM, Cameron JC. Mechanical regulation of photosynthesis in cyanobacteria. Nature Microbiology. PMID 32203409 DOI: 10.1038/S41564-020-0684-2  0.264
2020 Hill NC, Tay JW, Altus S, Bortz DM, Cameron JC. Life cycle of a cyanobacterial carboxysome. Science Advances. 6: eaba1269. PMID 32494723 DOI: 10.1126/Sciadv.Aba1269  0.259
2023 Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics. Arxiv. PMID 36911272  0.257
2023 Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. Bulletin of Mathematical Biology. 85: 110. PMID 37796411 DOI: 10.1007/s11538-023-01208-6  0.256
2022 Messenger DA, Bortz DM. Learning mean-field equations from particle data using WSINDy. Physica D. Nonlinear Phenomena. 439. PMID 37476028 DOI: 10.1016/j.physd.2022.133406  0.254
2002 Bortz DM, Rubio AD, Banks HT, Cain AB, Smith RC. Control of Open Bay Acoustics by Harmonic Mass Injection International Journal of Aeroacoustics. 1: 65-81. DOI: 10.1260/1475472021502677  0.251
2018 Wentz JM, Mendenhall AR, Bortz DM. Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans. Bulletin of Mathematical Biology. 80: 2669-2697. PMID 30097920 DOI: 10.1007/S11538-018-0482-7  0.25
2016 Nardini JT, Chapnick DA, Liu X, Bortz DM. Modeling Keratinocyte Wound Healing Dynamics: Cell-cell Adhesion Promotes Sustained Collective Migration. Journal of Theoretical Biology. PMID 27105673 DOI: 10.1016/J.Jtbi.2016.04.015  0.246
2015 Sircar S, Aisenbrey E, Bryant SJ, Bortz DM. Determining equilibrium osmolarity in poly(ethylene glycol)/chondrotin sulfate gels mimicking articular cartilage. Journal of Theoretical Biology. 364: 397-406. PMID 25300942 DOI: 10.1016/J.Jtbi.2014.09.037  0.244
2007 Chung H, Cartwright M, Thompson A, Jackson T, Bortz D, Younger J. Neutropenic Staphylococcus epidermidis Bacteremia in a Multicompartment Pharmacokinetic System Academic Emergency Medicine. 14: S178-S179. DOI: 10.1197/J.Aem.2007.03.1215  0.233
2020 Buchwald AG, Adams J, Bortz DM, Carlton EJ. Infectious Disease Transmission Models to Predict, Evaluate, and Improve Understanding of SARS-COV-2 Trajectory and Interventions. Annals of the American Thoracic Society. PMID 32610024 DOI: 10.1513/Annalsats.202005-501Ps  0.232
2021 Messenger DA, Bortz DM. WEAK SINDY FOR PARTIAL DIFFERENTIAL EQUATIONS. Journal of Computational Physics. 443. PMID 34744183 DOI: 10.1016/j.jcp.2021.110525  0.224
2015 Bortz DM. Modeling and simulation of nanomaterials in fluids: Nanoparticle self-assembly Modeling, Characterization and Production of Nanomaterials: Electronics, Photonics and Energy Applications. 419-441. DOI: 10.1016/B978-1-78242-228-0.00017-X  0.214
2014 Kissler SM, Cichowitz C, Sankaranarayanan S, Bortz DM. Determination of personalized diabetes treatment plans using a two-delay model. Journal of Theoretical Biology. 359: 101-11. PMID 24931673 DOI: 10.1016/J.Jtbi.2014.06.005  0.208
2021 Messenger DA, Bortz DM. WEAK SINDy: GALERKIN-BASED DATA-DRIVEN MODEL SELECTION. Multiscale Modeling & Simulation : a Siam Interdisciplinary Journal. 19: 1474-1497. PMID 38239761 DOI: 10.1137/20m1343166  0.187
1996 Ambats I, Bortz D, Connolly A, Derlicki A, Derrick M, Kahle W, Magill S, Mikunas D, Musgrave B, Schlereth J, Stanek R, Thron J. Studies of hadron-electron separators for the ZEUS barrel calorimeter Nuclear Instruments and Methods in Physics Research Section a: Accelerators, Spectrometers, Detectors and Associated Equipment. 368: 364-377. DOI: 10.1016/0168-9002(95)00621-4  0.184
2024 Wentz JM, Bortz DM. BOUNDEDNESS OF A CLASS OF SPATIALLY DISCRETE REACTION-DIFFUSION SYSTEMS. Siam Journal On Applied Mathematics. 81: 1870-1892. PMID 38223745 DOI: 10.1137/20M131850X  0.184
2022 Wentz J, Cameron JC, Bortz DM. ANALYTICAL SINGULAR VALUE DECOMPOSITION FOR A CLASS OF STOICHIOMETRY MATRICES. Siam Journal On Matrix Analysis and Applications : a Publication of the Society For Industrial and Applied Mathematics. 43: 1109-1147. PMID 38239302 DOI: 10.1137/21m1418927  0.148
2021 Buchwald AG, Bayham J, Adams J, Bortz D, Colborn K, Zarella O, Buran M, Samet J, Ghosh D, Herlihy R, Carlton EJ. Estimating the Impact of Statewide Policies to Reduce Spread of Severe Acute Respiratory Syndrome Coronavirus 2 in Real Time, Colorado, USA. Emerging Infectious Diseases. 27. PMID 34193334 DOI: 10.3201/eid2709.204167  0.111
2021 Wheeler GE, Purkayastha A, Bunker EN, Bortz DM, Liu X. Protocol for Analysis and Consolidation of TrackMate Outputs for Measuring Two-Dimensional Cell Motility using Nuclear Tracking. Journal of Visualized Experiments : Jove. PMID 34978296 DOI: 10.3791/62885  0.111
2000 Cain AB, Rubic AD, Bortz DM, Banks HT, Smith RC. Optimizing control of open bay acoustics 6th Aeroacoustics Conference and Exhibit 0.104
2022 Bortz DM, Feistritzer CM, Power CC, Grace AA. Medial septum activation improves strategy switching once strategies are well-learned via bidirectional regulation of dopamine neuron population activity. Neuropsychopharmacology : Official Publication of the American College of Neuropsychopharmacology. PMID 35871093 DOI: 10.1038/s41386-022-01387-1  0.052
2018 Bortz DM, Grace AA. Medial septum activation produces opposite effects on dopamine neuron activity in the ventral tegmental area and substantia nigra in MAM vs. normal rats. Npj Schizophrenia. 4: 17. PMID 30177811 DOI: 10.1038/s41537-018-0059-3  0.048
2018 Bortz DM, Grace AA. Medial septum differentially regulates dopamine neuron activity in the rat ventral tegmental area and substantia nigra via distinct pathways. Neuropsychopharmacology : Official Publication of the American College of Neuropsychopharmacology. PMID 29654260 DOI: 10.1038/S41386-018-0048-2  0.043
2023 Bortz DM, Feistritzer CM, Grace AA. Medial prefrontal cortex to medial septum pathway activation improves cognitive flexibility in rats. The International Journal of Neuropsychopharmacology. PMID 37207293 DOI: 10.1093/ijnp/pyad019  0.039
2014 Bortz DM, Jørgensen CV, Mikkelsen JD, Bruno JP. Transient inactivation of the ventral hippocampus in neonatal rats impairs the mesolimbic regulation of prefrontal glutamate release in adulthood. Neuropharmacology. 84: 19-30. PMID 24747179 DOI: 10.1016/J.Neuropharm.2014.04.005  0.036
2015 Pershing ML, Bortz DM, Pocivavsek A, Fredericks PJ, Jørgensen CV, Vunck SA, Leuner B, Schwarcz R, Bruno JP. Elevated levels of kynurenic acid during gestation produce neurochemical, morphological, and cognitive deficits in adulthood: implications for schizophrenia. Neuropharmacology. 90: 33-41. PMID 25446576 DOI: 10.1016/J.Neuropharm.2014.10.017  0.032
2008 Bortz DM. Community colleges: A stealth resource Enr (Engineering News-Record). 261: 43.  0.016
2013 Bortz DM, Mikkelsen JD, Bruno JP. Localized infusions of the partial alpha 7 nicotinic receptor agonist SSR180711 evoke rapid and transient increases in prefrontal glutamate release. Neuroscience. 255: 55-67. PMID 24095692 DOI: 10.1016/J.Neuroscience.2013.09.047  0.011
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