The power of optimal control: from confining rabies to improving CPR
Professor of Mathematics
University of Tennessee
Abstract: This talk will present optimal control of two examples which are discrete in time. The first example involves difference equations that model cardiopulmonary resuscitation. The goal is to design an external chest and abdomen pressure pattern to improve the blood flow in the heart in standard CPR procedure. The second example is an epidemic model for rabies in raccoons on a spatial grid. The goal is to find the optimal distribution pattern for vaccine baits to slow the spread of the disease.
Biosketch: Suzanne Lenhart is a full professor in the Mathematics Department. Her research involves partial differential equations, ordinary differential equations and optimal control. She works on a variety of applications, including population models, disease models, and resource management. She has over 100 research journal publications and a new book, "Optimal Control applied to Biological Models." She was the President of the Association for Women in Mathematics in 2001-2002. She continues her outreach with AWM; she is one of co-organizers of the AWM Teacher Partnership program, which pairs teachers with mathematicians from colleges, industry and government. She works weekly with the Bearden High School math club and she is active in Mu Alpha Theta activities (national high school math society). She is a member of the Scientific Advisory Committee of the Mathematical Biosciences Institute. She was elected to the Board of Trustees of the Society for Industrial and Applied Mathematics in 2004-2009. She is the Associate Director for Education, Outreach and Diversity for the National Institute for Mathematical and Biological Synthesis. Lenhart was the director of the Research Experiences for Undergraduates summer program at UT from 1990-2005, and now directs an REU program for the new institute.