Jared Barber's Webpage.

Jared Barber

Graduate Student
Program in Applied Mathematics
Department of Mathematics
University of Arizona

Mailing Address:	Program for Applied Mathematics University of Arizona 617 N. Santa Rita Tucson, AZ 85721
Phone:	(520) 621-2138
E-Mail:	jbarber at math.arizona.edu
Office:	MTL 120G

General Links:

Research:

Ocean Wave Modeling-Dr. Restrepo: Developing a one-dimensional model of ocean and sediment dynamics in a given water basin by taking into account a moving shoreline. Much erosion and sedimentation occurs at the actual shoreline where the water meets the beach and the shore. Ocean wave models of this sort answer questions about tsunami run-up and long-term erosion.

Related Conference and Seminar Presentations

February 24, 2006. Simulating Changing Basin Morphology Using Shoreline Tracking and the Water Wave Equations. Ocean Sciences 2006 Conference.
January 28, 2006. Lagrangian Front Tracking and the Numerical Integration of Shallow Water Waves. Los Alamos National Lab, Los Alamos Days.
November 10, 2005. Lagrangian Front Tracking and the Numerical Integration of the Shallow Water Wave Equations. University of Arizona Math Dept., Computational Math Seminar.
August 12, 2005. Numerical Integration of Shallow Water Waves. Los Alamos National Lab T-7 Group, Los Alamos Mathematical Modeling and Analysis Summer Student Series.
December 9, 2004. Finite Volume Methods in Shallow Water Waves. University of Arizona Math Dept, Second Year Graduate Research Conference.

Computational Blood Cell Dynamics -Dr. Restrepo & Dr. Secomb: Developing a numerical code capable of integrating and modeling red blood cells and their movement through microvessels of arbitrary arrangement. This model is currently capable of modeling single red blood cell motion through small vessel bifurcations, two cell motion through small vessel bifurcation, and the motion of various particles (flexible, rigid, ellipses, asymmetric) in linear shear flow. The models involving vessel bifurcations will provide estimates of red blood cell distributions in microvessel systems. Those distributions can be used to find the distribution of oxgyen or other solutes in microvessel systems. By analyzing the motions of particles in linear shear flow, we can find how quickly particles (red blood cells included) mix and travel from a region of high concentration to a region of low concentration.

Related Conference and Seminar Presentations

Nov 4, 2008. GIDP Showcase. Red Blood Cell Motion in Bifurcating Microvessels. University of Arizona Graduate Interdisciplinary Program Showcase 2008. (Poster.)
July 30-Aug 2, 2008. Simulated Two-Dimensional Red Blood Cell Motion, Deformation, and Partitioning in Microvessel Bifurcations. Society for Mathematical Biology 2008 Annual Meeting.
July 7-11, 2008. Simulated Two-Dimensional RBC Motion, Deformation, and Partitioning in Microvessel Bifurcations. SIAM 2008 Annual Meeting.
May 19-23, 2008. Red Blood Cell Motion in Bifurcating Microvessels. IPAM (UCLA) Optimal Transport Workshop IV: Optimal Transport in the Human Body: Lungs and Blood. (Poster.)
April 11, 2008. Two-dimensional model of red blood cell motion through diverging vessel branches. University of Arizona Math Modeling Seminar.
November 2, 2007. Red Blood Cell Motion through Diverging Vessel Bifurcations. University of Arizona Applied Mathematics Student Colloquia.
August 15-19, 2007. Two-dimensional computational models of red blood cell motion through microvessel bifurcations and the effects of flexibility. 8th World Congress for the Microcirculation. (Poster.)
February 9, 2007. Modeling Viscoelastic Red Blood Cell-like Membranes in Two Dimensions. University of Arizona, Los Alamos Days.

Related Papers

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.

Workshops Attended

June 21-24 & June 26-30, 2006. 9th PIMS Graduate Industrial Mathematics Modeling Camp & 10th Industrial Problem Solving Workshop. IRMACS Center, Simon Fraser University.
June 9-20, 2008. Parallel Numerical Methods for Partial Differential Equations. UWyo.

Teaching and Mentoring Experiences:

Jan 27, 2007- Tucson Kids Club Facilitator
Summer 2006; Fall 2008- Graduate peer mentor for written qualifying exam and
Principles and Methods of Applied Mathematics students, respectively
March 2005, March 2007, & Dec 2007- High School Calculus Visitation Project Facilitator
Fall 2005 & Spring 2006- Mathematical Modeling (MATH485) Participated in Mentoring Seminar
(Fall, presentations available at site) and mentored group of four (Spring)
Fall 2004 & Spring 2005- Math 110 College Algebra Teaching Assistant
Section-specific syllabus
Fall 2003- High School Days Facilitator
Fall 2002 & Spring 2003- General and Modern Physics I and II undergraduate Teaching Assistant.
Spring 2001- Texts and Critics Honors Seminar Student Fellow