Lecture: Some Mathematical Models in Medicine
Professor Nathaniel Whitaker from the UMass Department of Mathematics and Statistics will deliver this lecture as part of the Fall 2006 Operations Research / Management Science Seminar series. All are invited to attend.
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, and the John F. Smith Memorial Fund.
Check here for more details about this speaker series.
