Andrew T. Barker

Research interests

I am currently working on my PhD project with Xiao-Chuan Cai on modeling blood flow in human arteries. We are coupling a Navier-Stokes model of the fluid to an elastic model of the artery walls and solving the resulting PDEs by the finite element method. You can see videos of our simulations here (avi) and here (mpg).

More casually, I am interested in mathematical applications to the study of infectious disease and especially virology.

Publications and conference presentations

• Andrew T. Barker, Evolutionary stability in the traveler's dilemma, College Mathematics Journal, to appear.
• Andrew T. Barker and Xiao-Chuan Cai, A parallel implicitly coupled fluid-structure interaction algorithm for blood flow in arteries, student paper winner, 10th Copper Mountain Conference on Iterative Methods, 10 April 2008.
• Andrew T. Barker, Kyle M. Hunsberger and Paul A. Isihara, Using prime factor class invariants to obtain another series expansion for (ln 2)^2, Pi Mu Epsilon Journal 12 (2007) pp. 385-390.
• Andrew T. Barker and Xiao-Chuan Cai, Simulation of blood flow in arteries on supercomputers, poster presentation at the Butcher Symposium on Genetics and Biotechnology, 16 November 2007.
• Andrew T. Barker and Xiao-Chuan Cai, An implicitly coupled parallel fluid-structure interaction algorithm for blood flow in arteries, 9th US National Congress on Computational Mechanics, 23 July 2007.
• Andrew Barker and Xiao-Chuan Cai, Parallel additive Schwarz methods for elastic wave equations, 13th Copper Mountain Conference on Multigrid Methods, 19 March 2007.
• Paul A. Isihara, Andrew Barker, et. al., Immunological and Epidemiological HIV/AIDS Modeling, The UMAP Journal 26.1 (Spring 2005) pp. 51-90.

Teaching

Most recently, for fall 2005, I was a TA for APPM 2360, Differential equations with linear algebra and have been the differential equations lab coordinator. Previously I have been a TA for Calculus II and Calculus III.

Other

My undergraduate work was in mathematics at Wheaton College in Wheaton, Illinois. I am currently a member of the Society for Industrial and Applied Mathematics (SIAM) and the Association of Christians in the Mathematical Sciences (ACMS).

Here is an overly long and slightly outdated resume.

Unprofessional publications

• On Defect of Plane Curves, the paper I wrote with Ian Biringer during my 2003 summer REU internship at Oregon State University.
• Some solutions to exercises in Thomas Garrity's All the Mathematics You Missed, a half-hearted project I started to teach myself something.
• A paper I wrote on generalized trig functions as a junior undergraduate - not very rigorous.