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 |