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David Matthew Bortz

TitleAssociate Professor
InstitutionUniversity of Colorado Boulder
DepartmentApplied Mathematics
Phone303/492-7569
ORCID ORCID Icon0000-0003-1163-7317 Additional info

    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. 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
    2. 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: 28608703.
      View in: PubMed
    3. 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
    4. 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 Dec; 111:78-91. PMID: 27569994.
      View in: PubMed
    5. 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
    6. Nardini JT, Chapnick DA, Liu X, Bortz DM. Modeling keratinocyte wound healing dynamics: Cell-cell adhesion promotes sustained collective migration. J Theor Biol. 2016 Jul 07; 400:103-17. PMID: 27105673.
      View in: PubMed
    7. Mirzaev I, Bortz DM. Laplacian Dynamics with Synthesis and Degradation. Bull Math Biol. 2015 Jun; 77(6):1013-45. PMID: 25795319; PMCID: PMC4474804.
    8. 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. 2015 Mar; 90:33-41. PMID: 25446576; PMCID: PMC4731221.
    9. 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
    10. Sircar S, Younger JG, Bortz DM. Sticky surface: sphere-sphere adhesion dynamics. J Biol Dyn. 2015; 9 Suppl 1:79-89. PMID: 25159830; PMCID: PMC4344442.
    11. 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
    12. 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. 2014 Sep; 84:19-30. PMID: 24747179.
      View in: PubMed
    13. 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
    14. Sircar S, Bortz DM. Impact of flow on ligand-mediated bacterial flocculation. Math Biosci. 2013 Oct; 245(2):314-21. PMID: 23917245; PMCID: PMC3815709.
    15. 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; PMCID: PMC4096246.
    16. 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; PMCID: PMC4096239.
    17. 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
    18. 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; PMCID: PMC3491734.
    19. 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; PMCID: PMC4135444.
    20. 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; PMCID: PMC3067277.
    21. 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; PMCID: PMC2970855.
    22. 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; PMCID: PMC3677036.
    23. 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; PMCID: PMC4096236.
    24. 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
    25. 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
    26. 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; PMCID: PMC2715355.
    27. 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
    28. 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
    29. 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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