Fall 2006 UMASS Amherst
Operations Research / Management Science Seminar Series

Date: Friday, December 1, 2006

Time: 11:00 AM
Location: Isenberg School of Management, Room 112

Speaker: Professor Nathaniel Whitaker

Department of Mathematics and Statistics
University of Massachusetts at Amherst

Biography: Professor Nathaniel Whitaker is a faculty member in the department of Mathematics and Statistics at the University of Massachusetts at Amherst. Professor Whitaker received his B.A. in economics from Hampton University, his
M.S. in Mathematics from the University of Cincinnati and his Ph.D in Mathematics from the University of California at Berkeley. Professor Whitaker is a Numerical Analyst who works in the areas of modeling fluid flow in porous media, modeling turbulence and modeling of biological systems in medicine. He is director of the Masters Degree Program in Applied Mathematics at the University of Massachusetts. He has been a Lilly Fellow and a recipient of the University Distinguished Outreach Award for the academic year 2005-6.

TITLE: Some Mathematical Models in Medicine
Abstract: In this talk, I will discuss some mathematical models in medicine. In the first part, I will present a model to simulate and inhibit tumor growth. A tumor releases chemical stimuli attracting endothelial cells towards it which eventually form a network of blood vessels. This network provides it with oxygen and nutrients which allows it to grow as well as providing a means of transport to other parts of the body. The mathematical model will simulate the proliferation of this network. In the second part of this talk, we will present a model for the processing of blood in the kidney. In particular, the transport and processing of blood in the loop of Henle will be modeled. I will show how dynamical  systems theory can be used to predict oscillations in certain important variables.

This series is organized by the UMASS Amherst INFORMS Student Chapter. Support for this series is provided by the Isenberg School of Management, the Department of Finance and Operations Management, INFORMS, and the John F. Smith Memorial Fund.

For questions, please contact the INFORMS Student Chapter Speaker Series Coordinator, Ms. Trisha Woolley, twolley@som.umass.edu