1. Brock Williams Texas Tech University

2.  Roger W. Barnard  John Calhoun  Levi Johnson  Kent Pearce  Hamed Sari-Sarraf  Arun Shammanna

3. Grants 727944 742402 745472 1035096 0930257 Grant T365Z110259

4. A circle packing is a configuration of circles with a specified pattern of tangencies.

8. About 900 Circles in Each Packing

9. About 12000 Circles in Each Packing

10. 2000 Random Vertices

11. R r D 1

15. Image from Google Maps.

16. Immature cotton fibers are round, thick, and hollow. As they mature, the lumen collapses and the cellulose thins. Cross section of fiber

19. In work with John Calhoun, we’ve used random walk ideas to model disease outbreaks.

21. Munz, Hudea, Imad, and Smith published a PDE model of a zombie outbreak in 2009. They found logistic growth of the zombie population (and corresponding logistic decay of the human population).

22.  Incorporates additional parameters such as ◦ Geography of the City ◦ Hospitals ◦ Human Offensive Capability  Predicts human population survival under some circumstances

25. Human PopulationZombie Population

28. Human PopulationZombie Population

29. Questions?