Seminar  in Applied and Computational Mathematics

   (Archive)

Friday, November 15, 2002

Time : 4:00-5:00 PM

Place : Room 499 DSL (CSIT Seminar room)

Speaker: Professor Qing Nie, Department of Mathematics,
Center for Biomedical Engineering
University of California at Irvine.

Title : "Modeling and Computations of  Tumor Growth"

            Abstract

In this talk, we study tumor growth through mathematical models and computations.
In particular, the tumor evolution is described by a set of PDEs with a moving boundary.
Through analysis of a nearly spherical tumor, we identify three regimes of tumor
growth with increasing degrees of vascularization: 
low (diffusion dominated), moderate and high  vascularization.
We demonstrate that parameter ranges exist for which the tumor
evolves self-similarly (i.e., shape invariant). By performing
numerical simulations of the full system, we show that there
exist invasive fingering and the onset of metastasization
(and reconnection) for a non-necrotic vascular tumor.
Also we  demonstrate how the assumptions and predictions
of the model have been validated and refined  by direct comparison
with experimental observations of in vitro and in vivo growth.

2. Scientific Computing/Applied Math Seminar

       Friday, November 8, 2002
 

 Time : 4:00-5:00 PM
 
 Place : Room 499 DSL (CSIT Seminar room)
 
 Speaker:   Dr. Mark Sussman, Department of Mathematics, FSU
 
 Title:    "A second order coupled level set and volume of fluid
         method for computing the growth and collapse of vapor bubbles"