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David Matthew Bortz

TitleProfessor
InstitutionUniversity of Colorado Boulder
DepartmentApplied Mathematics
Phone303/492-7569

    Collapse Research 
    Collapse research activities and funding
    R35GM149335     (BORTZ, DAVID)Sep 25, 2023 - Aug 31, 2028
    NIH
    Data-driven and science-informed methods for the discovery of biomedical mechanisms and processes
    Role: Principal Investigator
    R01GM126559     (BORTZ, DAVID)Jul 10, 2017 - May 31, 2022
    NIH
    Epithelial Cell Migration: Model selectionn for mechanistic model development
    Role: Principal Investigator

    Collapse Bibliographic 
    Collapse selected publications
    Publications listed below are automatically derived from MEDLINE/PubMed and other sources, which might result in incorrect or missing publications. Faculty can login to make corrections and additions.
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    1. Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. Bull Math Biol. 2023 10 05; 85(11):110. PMID: 37796411.
      View in: PubMed
    2. Bortz DM, Feistritzer CM, Grace AA. Medial Prefrontal Cortex to Medial Septum Pathway Activation Improves Cognitive Flexibility in Rats. Int J Neuropsychopharmacol. 2023 Jun 23; 26(6):426-437. PMID: 37207293.
      View in: PubMed
    3. Bortz DM, Messenger DA, Dukic V. Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics. ArXiv. 2023 Apr 08. PMID: 36911272.
      View in: PubMed
    4. Messenger DA, Dall'anese E, Bortz DM. Online Weak-form Sparse Identification of Partial Differential Equations. Proc Mach Learn Res. 2022 Aug; 190:241-256. PMID: 38264277.
      View in: PubMed
    5. 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. 2022 11; 47(12):2090-2100. PMID: 35871093.
      View in: PubMed
    6. Wentz J, Cameron JC, Bortz DM. ANALYTICAL SINGULAR VALUE DECOMPOSITION FOR A CLASS OF STOICHIOMETRY MATRICES. SIAM J Matrix Anal Appl. 2022 Sep; 43(3):1109-1147. PMID: 38239302.
      View in: PubMed
    7. Messenger DA, Bortz DM. Learning mean-field equations from particle data using WSINDy. Physica D. 2022 Nov; 439. PMID: 37476028.
      View in: PubMed
    8. 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. J Vis Exp. 2021 12 18; (178). PMID: 34978296.
      View in: PubMed
    9. Messenger DA, Bortz DM. WEAK SINDy: GALERKIN-BASED DATA-DRIVEN MODEL SELECTION. Multiscale Model Simul. 2021; 19(3):1474-1497. PMID: 38239761.
      View in: PubMed
    10. 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. Emerg Infect Dis. 2021 09; 27(9):2312-2322. PMID: 34193334.
      View in: PubMed
    11. Messenger DA, Bortz DM. WEAK SINDY FOR PARTIAL DIFFERENTIAL EQUATIONS. J Comput Phys. 2021 Oct 15; 443. PMID: 34744183.
      View in: PubMed
    12. Wentz JM, Bortz DM. BOUNDEDNESS OF A CLASS OF SPATIALLY DISCRETE REACTION-DIFFUSION SYSTEMS. SIAM J Appl Math. 2021; 81(5):1870-1892. PMID: 38223745.
      View in: PubMed
    13. Buchwald AG, Adams J, Bortz DM, Carlton EJ. Infectious Disease Transmission Models to Predict, Evaluate, and Improve Understanding of COVID-19 Trajectory and Interventions. Ann Am Thorac Soc. 2020 10; 17(10):1204-1206. PMID: 32610024.
      View in: PubMed
    14. Dudley HJ, Ren ZJ, Bortz DM. Competitive exclusion in a DAE model for microbial electrolysis cells Math Biosci Eng. 2020 09 16; 17(5):6217-6239. PMID: 33120596.
      View in: PubMed
    15. Hill NC, Tay JW, Altus S, Bortz DM, Cameron JC. Life cycle of a cyanobacterial carboxysome. Sci Adv. 2020 05; 6(19):eaba1269. PMID: 32494723.
      View in: PubMed
    16. Moore KA, Altus S, Tay JW, Meehl JB, Johnson EB, Bortz DM, Cameron JC. Mechanical regulation of photosynthesis in cyanobacteria. Nat Microbiol. 2020 05; 5(5):757-767. PMID: 32203409.
      View in: PubMed
    17. Bortz DM, Gazo KL, Grace AA. The medial septum enhances reversal learning via opposing actions on ventral tegmental area and substantia nigra dopamine neurons. Neuropsychopharmacology. 2019 12; 44(13):2186-2194. PMID: 31261368.
      View in: PubMed
    18. Nardini JT, Bortz DM. The influence of numerical error on parameter estimation and uncertainty quantification for advective PDE models. Inverse Probl. 2019 Jun; 35(6). PMID: 34121793.
      View in: PubMed
    19. 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 Schizophr. 2018 Sep 03; 4(1):17. PMID: 30177811.
      View in: PubMed
    20. Wentz JM, Mendenhall AR, Bortz DM. Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans. Bull Math Biol. 2018 10; 80(10):2669-2697. PMID: 30097920.
      View in: PubMed
    21. Nardini JT, Bortz DM. INVESTIGATION OF A STRUCTURED FISHER'S EQUATION WITH APPLICATIONS IN BIOCHEMISTRY. SIAM J Appl Math. 2018; 78(3):1712-1736. PMID: 30636816.
      View in: PubMed
    22. Bortz DM, Grace AA. Medial septum differentially regulates dopamine neuron activity in the rat ventral tegmental area and substantia nigra via distinct pathways. Neuropsychopharmacology. 2018 09; 43(10):2093-2100. PMID: 29654260.
      View in: PubMed
    23. Mirzaev I, Bortz DM. A numerical framework for computing steady states of structured population models and their stability. Math Biosci Eng. 2017 08 01; 14(4):933-952. PMID: 28608703.
      View in: PubMed
    24. Mirzaev I, Bortz DM. A numerical framework for computing steady states of structured population models and their stability. Math Biosci Eng. 2017 Aug 01; 14(4):933-952. PMID: 28608704.
      View in: PubMed
    25. Bortz DM, Wu HQ, Schwarcz R, Bruno JP. Oral administration of a specific kynurenic acid synthesis (KAT II) inhibitor attenuates evoked glutamate release in rat prefrontal cortex. Neuropharmacology. 2017 Jul 15; 121:69-78. PMID: 28419874.
      View in: PubMed
    26. Bortz DM, Upton BA, Mikkelsen JD, Bruno JP. Positive allosteric modulators of the a7 nicotinic acetylcholine receptor potentiate glutamate release in the prefrontal cortex of freely-moving rats. Neuropharmacology. 2016 12; 111:78-91. PMID: 27569994.
      View in: PubMed
    27. Mirzaev I, Byrne EC, Bortz DM. An Inverse Problem for a Class of Conditional Probability Measure-Dependent Evolution Equations. Inverse Probl. 2016; 32(9). PMID: 28316360.
      View in: PubMed
    28. Nardini JT, Chapnick DA, Liu X, Bortz DM. Modeling keratinocyte wound healing dynamics: Cell-cell adhesion promotes sustained collective migration. J Theor Biol. 2016 07 07; 400:103-17. PMID: 27105673.
      View in: PubMed
    29. Mirzaev I, Bortz DM. Laplacian Dynamics with Synthesis and Degradation. Bull Math Biol. 2015 Jun; 77(6):1013-45. PMID: 25795319.
      View in: PubMed
    30. Pershing ML, Bortz DM, Pocivavsek A, Fredericks PJ, J?rgensen 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. 2015 Mar; 90:33-41. PMID: 25446576.
      View in: PubMed
    31. Sircar S, Aisenbrey E, Bryant SJ, Bortz DM. Determining equilibrium osmolarity in poly(ethylene glycol)/chondrotin sulfate gels mimicking articular cartilage. J Theor Biol. 2015 Jan 07; 364:397-406. PMID: 25300942.
      View in: PubMed
    32. Sircar S, Younger JG, Bortz DM. Sticky surface: sphere-sphere adhesion dynamics. J Biol Dyn. 2015; 9 Suppl 1:79-89. PMID: 25159830.
      View in: PubMed
    33. Kissler SM, Cichowitz C, Sankaranarayanan S, Bortz DM. Determination of personalized diabetes treatment plans using a two-delay model. J Theor Biol. 2014 Oct 21; 359:101-11. PMID: 24931673.
      View in: PubMed
    34. Bortz DM, J?rgensen 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. 2014 Sep; 84:19-30. PMID: 24747179.
      View in: PubMed
    35. 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. 2013; 255:55-67. PMID: 24095692.
      View in: PubMed
    36. Sircar S, Bortz DM. Impact of flow on ligand-mediated bacterial flocculation. Math Biosci. 2013 Oct; 245(2):314-21. PMID: 23917245.
      View in: PubMed
    37. Satorius AE, Szafranski J, Pyne D, Ganesan M, Solomon MJ, Newton DW, Bortz DM, Younger JG. Complement c5a generation by staphylococcal biofilms. Shock. 2013 Apr; 39(4):336-42. PMID: 23459111.
      View in: PubMed
    38. Conrad EC, Hsu YY, Bortz DM, Younger JG. Spatiotemporal dynamics of complement C5a production within bacterial extracellular polymeric substance. J Innate Immun. 2013; 5(2):114-23. PMID: 23328643.
      View in: PubMed
    39. Curtis CW, Bortz DM. Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion. Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec; 86(6 Pt 2):066108. PMID: 23368005.
      View in: PubMed
    40. 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. J Infect Dis. 2012 Aug 15; 206(4):588-95. PMID: 22711903.
      View in: PubMed
    41. Byrne E, Dzul S, Solomon M, Younger J, Bortz DM. Postfragmentation density function for bacterial aggregates in laminar flow. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Apr; 83(4 Pt 1):041911. PMID: 21599205.
      View in: PubMed
    42. 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. Appl Environ Microbiol. 2011 Mar; 77(5):1777-82. PMID: 21239544.
      View in: PubMed
    43. 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. Am J Respir Cell Mol Biol. 2010 Nov; 43(5):585-90. PMID: 20008281.
      View in: PubMed
    44. Chung HM, Cartwright MM, Bortz DM, Jackson TL, Younger JG. Dynamical system analysis of Staphylococcus epidermidis bloodstream infection. Shock. 2008 Nov; 30(5):518-26. PMID: 18317411.
      View in: PubMed
    45. Bortz DM, Jackson TL, Taylor KA, Thompson AP, Younger JG. Klebsiella pneumoniae flocculation dynamics. Bull Math Biol. 2008 Apr; 70(3):745-68. PMID: 18071828.
      View in: PubMed
    46. Bortz DM, Nelson PW. Model selection and mixed-effects modeling of HIV infection dynamics. Bull Math Biol. 2006 Nov; 68(8):2005-25. PMID: 16900456.
      View in: PubMed
    47. Ciupe MS, Bivort BL, Bortz DM, Nelson PW. Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Math Biosci. 2006 Mar; 200(1):1-27. PMID: 16469337.
      View in: PubMed
    48. 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. Am J Respir Cell Mol Biol. 2005 Nov; 33(5):476-82. PMID: 16014897.
      View in: PubMed
    49. Banks HT, Bortz DM. A parameter sensitivity methodology in the context of HIV delay equation models. J Math Biol. 2005 Jun; 50(6):607-25. PMID: 15614552.
      View in: PubMed
    50. Bortz DM, Nelson PW. Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics. Bull Math Biol. 2004 Sep; 66(5):1009-26. PMID: 15294416.
      View in: PubMed
    51. Banks HT, Bortz DM, Holte SE. Incorporation of variability into the modeling of viral delays in HIV infection dynamics. Math Biosci. 2003 May; 183(1):63-91. PMID: 12604136.
      View in: PubMed
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