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Jared Barber, Ph.D.

I use computational models to gain insight into physical systems.  Throughout my experiences I have used various numerical methods and modeling techniques in order to consider 

  • partial and ordinary differential equations
  • solid and fluid mechanics
  • thermal and electrical flows
  • electromagnetic and gravitational forces in fluids (magnetohydrodynamics)
  • blood, intestinal, and immune cells and proteins
  • aluminum production and carbon processing

Education

  • Ph.D. Applied Mathematics, University of Arizona
  • M.S. Applied Mathematics, University of Arizona
  • B.S. Mathematics, Montana State University-Bozeman

Courses Taught / Teaching

IUPUI

Fall 2016:

  • MATH 514:  Numerical Analysis

University of Pittsburgh

  • MATH 0290:  Applied Differential Equations
  • MATH 0240:  Analytic Geometry & Calculus 3    
  • MATH 0230:  Analytic Geometry & Calculus 2    
  • MATH 0220:  Analytic Geometry & Calculus 1

University of Arizona

  • Math 112:  College Algebra

Publications & Professional Activities

  1. Barber, J, Tanase, R, Yotov, I. Kalman filter parameter estimation for a nonlinear diffusion model of epithelial cell migration using stochastic collocation and the Karhunen-Loeve expansion. (Under review by Mathematical Biosciences 2015.)

  2. Arciero, JC, Barber, JO, Kim, M. Modeling host-pathogen interactions in necrotizing enterocolitis in Complex Systems and Computational Biology Approaches to Acute Inflammation. Springer Science+Business Media. 2013.

  3. Barber, J, Tronzo, M, Horvat, C, Clermont, G, Upperman, J, Vodovotz, Y, and Yotov, I. A three-dimensional mathematical and computational model of necrotizing enterocolitis. Journal of Theoretical Biology, 322: 17-32, 2013.

  4. Barber, JO, Restrepo, JM, and Secomb, TW. Simulated red blood cell motion in microvessel bifurcation: Effects of cell-cell interactions on cell partitioning. Cardiovasc Engineering and Technology, 2(4): 349-360, 2011.

  5. Barber, JO. Computational Simulation of Red Blood Cell Motion in Microvascular Flows. Ph.D. Thesis, University of Arizona, 2009.

  6. Secomb, TW, Barber, JO, and Restrepo, JM. Computational simulation of red blood cell motion in microvessel bifurcations. Proceedings of Seventh International Conference on CFD in the Minerals and Process Industries, CSIRO, Melbourne, Australia, 9-11 December 2009 (4 pp).

  7. Barber, JO, Alberding, JP, Restrepo, JM, and Secomb, TW. Simulated two-dimensional red blood cell motion, deformation, and partitioning in microvessel bifurcations. Ann.Biomed.Eng. 36: 1690-1698, 2008.

  8. Barber, JO, Bose, C, Bourlioux, A, Braun, J, Brunelle, E, Garcia, T, Hillen, T, Ong, B. Burning issues with Prometheus-The canadian wildland fire growth simulation model. Canadian Applied Math Quarterly, 16: 337-378, 2008.