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University of St. Thomas Center for Applied Mathematics

Conference Schedule

Sunday, August 2
Registration and check-in 2-6pm
Opening Dinner 6:30pm
"Setting the Stage" Session 8-9:30pm
Monday, August 3
9:00 Conference Welcome and Orientation
9:30 Student Presentations
10:30 Break
11:00 Student Presentations
12:30 Lunch
1:30-4:00 Trip to Minnesota Supercomputer Institute
4:00 "Life aftr CSUMS" panel
4:45 Student Presentations
5:40(exact) Depart for Dinner (Bus)
Tuesday, August 4
7:30-8:30 Breakfast individually in Campus Grill for those staying on campus
9:00 Session 2A of student presentations (Presiding: Ryan Maciej, UST)
9:00 Katie McCaffrey and Karen Rose, UST: Cryosurgery as a Treatment for Uterine Fibroids
9:30 Maria Boak, University of Central Florida: Studying Optical Rogue Waves
10:00 Jeremiah Jones, Arizona State University: Simulation of Drift Diffusion in Potassium Channels

Abstract: Ionic channels in cellular membranes play a key role in regulating electrical and chemical properties of the cell such as the membrane potential and ion concentration. The relationship between the charge densities of ionic species and the membrane potential can be stated as a system of three partial differential equations known as the Poisson-Nernst-Planck (PNP) model. Numerical solutions of the PNP equations for a voltage-gated potassium channel in 1D and 2D will be presented and discussed. The results of numerical simulations will also be compared with experimental data to determine the validity of the PNP model.

10:30 Break (OWS 257)
11:00 Session 2B of student presentations (Presiding: Ryan Maciej, UST)
11:00 Leon Guerrero, University of Central Florida: Modeling and Optimization of Some Behavioral Portfolio Selection Problems
11:30 Vy Tran, University of St. Thomas: The Distribution of Vertices in Families of Six Edge Polygons

Random polygons are often used to model long polymers in biology and chemistry. For viscosity and flow calculations, the average shapes and sizes of these polygons are of interest, and these properties have been studied under a variety of conditions. To better characterize these polygons, we looked at the family of six edge polygons, separating them by knot type, and we also looked at 6 edge open chains. For each of these families, density plots were created showing the distribution of verticies. These plots characterize the polygon families and provide a way of determining their average structure.

12:00 Lunch (OWS 257)
1:30 Session 2C of student presentations (Presiding: Karen Rose, UST)
1:30 Christopher Huff, University of Central Florida: Distributive Compressive Imaging
2:00 Salvador Salazar, Arizona State University: Characterizing the Dynamical Complexity of a Weather Forecast Model Using the Ensemble Dimension

Abstract: Meteorologists use ensembles of statistically equivalent initial conditions to help quantify the uncertainty in the forecasts produced by a numerical weather model. The quantification of this uncertainty can be improved by adding more ensemble members (with greater computational expense). This talk describes the notion of "ensemble dimension," its relationship to Lyapunov exponents and predictability, and how it can help choose an appropriately sized ensemble to accurately capture the uncertainty in a given forecast. An application using the Weather Research and Forecast (WRF) model will be described.

2:30 Open
3:00 Break (OWS 257)
3:30 Simultaneous sessions:
(a) Student Networking Session (OWS257)
(b) PI Session (OSS236)
5:00 Depart from OSS-OWS for dinner downtown Saint Paul and (optional, extra-cost)) Titanic film and exhibit
Wednesday, August 5
7:30-8:30 Breakfast individually in Campus Grill for those staying on campus
9:00 Closing Session - Rides to airport