Jared Barber
Assistant Professor, Department of Mathematical SciencesI 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 UniversityBozeman
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

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

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

Barber, J, Tronzo, M, Horvat, C, Clermont, G, Upperman, J, Vodovotz, Y, and Yotov, I. A threedimensional mathematical and computational model of necrotizing enterocolitis. Journal of Theoretical Biology, 322: 1732, 2013.

Barber, JO, Restrepo, JM, and Secomb, TW. Simulated red blood cell motion in microvessel bifurcation: Effects of cellcell interactions on cell partitioning. Cardiovasc Engineering and Technology, 2(4): 349360, 2011.

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

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, 911 December 2009 (4 pp).

Barber, JO, Alberding, JP, Restrepo, JM, and Secomb, TW. Simulated twodimensional red blood cell motion, deformation, and partitioning in microvessel bifurcations. Ann.Biomed.Eng. 36: 16901698, 2008.

Barber, JO, Bose, C, Bourlioux, A, Braun, J, Brunelle, E, Garcia, T, Hillen, T, Ong, B. Burning issues with PrometheusThe canadian wildland fire growth simulation model. Canadian Applied Math Quarterly, 16: 337378, 2008.