Mathematics Colloquium

New research results at UNO

Department of Mathematics
University of Nebraska at Omaha


WHEN:
Wednesday, September 29, 2004 at 2:30 PM

WHERE:
Durham Science Center, Room 255

WHAT:


Vladimir Ufimtsev and Melissa Wilson

University of Nebraska at Omaha


will give a talk on

Stoichiometric Model of Tumor: Phosphorus Flow


ABSTRACT:
We are working to create a stoichiometric model of tumor growth within a system. The system we are looking at is fairly general and can be modified for use with different organs. We treat the system as a chemostat in order to trace the flow of phosphorus and the effects of phosphorus deficiency and possibly toxicity. The system works as a chemostat with the arteries bringing the phosphorus supply in through the blood stream, the organ and tumor growing within the system based on the availability of phosphorus and space with phosphorus continually flowing out of the system through the veins. We consider a tumor able to vascularize, thus tracking the growth/decay of healthy cells, tumor cells and vessels. We conclude the model by considering the influence of naturally occurring effector cells, immunotherapy and chemotherapy on our model.


[Back]    Back to the Mathematics Colloquium Page