Karen Ames Lecture Series in Applied Mathematics Dr. H. T. Banks Center for Research in Scientific Computation and Center for Quantitative Sciences in Biomedicine, North Carolina State University February 8, 2008109 Shelby Center3:00 PM (Refreshments at 2:30 in the lobby) Abstract We give a survey of several ongoing research projects where mathematical, probabilistic and statistical modeling plays a major role. Time permitting; we shall discuss (i) Use of shrimp protein synthesis pathways for the rapid production of anti-toxins in response to attacks (either deliberate or inadvertent) on populations; (ii) Investigation of sublethal as well as lethal damage due to esticides/insecticides in pea aphid populations; (iii) Models with predictive capabilities in the progression of HIV. Each of the projects also involves the use of inverse problem techniques with experimental data and represents significant collaborations of our group with appropriate scientists from biological/biomedical teams. Biographical Sketch Dr. H.T. Banks is Director of the Center for Research in Scientific Computation and Co-Director of the Center for Quantitative Sciences in Biomedicine at North Carolina State University where he is also a Distinguished University Professor and Drexel Professor of Mathematics. Prior to this current appointment in 1992, he spent three years on the faculty at the University of Southern California where he was founder and the first Director of the Center for Applied Mathematical Sciences after having spent over 20 years on the faculty at Brown University. Dr. Banks has published over 375 papers in applied mathematics and engineering journals and written four books. He currently serves on a number of editorial boards including Computational and Applied Mathematics, Quarterly of Applied Math, Inverse Problems, Journal of Inverse and Ill-posed Problems, Applied Mathematics Letters, International Journal of Mathematical and Computational Modeling, Mathematical Biosciences and Engineering and was the Founding Editor-in-Chief of the SIAM Frontiers in Applied Mathematics. He is a Fellow of the IEEE, a Fellow of the Institute of Physics, and was the recipient of the IEEE Control Systems Technology Award in 1996, Purdue University Distinguished Alumni Award in 1998, and the W.T. and Idalia Reid Prize in Mathematics from SIAM in 2002. His research interests include Mathematical. Computational and Statistical Aspects of Inverse Problems; Control Theory; and Modeling in Biology, Electromagnetics, Structures and Fluids.