Mathematical Biology Seminar
Andrew Stein, University of Michigan
Tuesday January 30, 2007
4:00pm in LCB 215 Mathematical Models for Glioma
Invasion
Abstract:
Glioblastoma, the most malignant form of brain cancer, is responsible
for 23% of primary brain tumors and has extremely poor outcome.
Confounding the clinical management of glioblastomas is the extreme
local invasiveness of these cancer cells. The mechanisms that govern
invasion are poorly understood. In order to gain insight into
glioblastoma invasion, we conducted experiments on the patterns of
growth and dispersion of U87 glioblastoma tumor spheroids in a 3d
collagen gel. We studied two different cell lines, one with a mutation
to the EGFR (U87dEGFR) that is associated with increased malignancy,
and one with endogenous (wild-type) receptor (U87WT). We developed a
continuum mathematical model of the dispersion behaviors with the aim
of identifying and characterizing discrete cellular mechanisms
underlying invasive cell motility. The mathematical model
quantitatively reproduces the experimental data, and indicates that
the U87WT invasive cells have a stronger directional motility bias
away from the spheroid center as well as a faster rate of cell
shedding compared to the U87dEGFR cells. The model suggests that
differences in tumor cell dispersion may be due to differences in the
chemical factors produced by cells, differences in how the two cell
lines remodel the gel, or different cell-cell adhesion
characteristics.
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