Biomedical Engineering Reference
In-Depth Information
Figure 4
. Spatiotemporal progression of a virtual malignant brain tumor in a 200 × 200
square grid lattice. At
t
= 25, an expansive rim (
orange
as depicted), consisting of both
invasive and proliferative cells, starts to emerge on the tumor surface. At
t
= 60, the prolif-
erative rim has become prominent, while at the tumor core a black necrotic region has
been established. At
t
= 335, a "bulging" macrostructure at the NE tip starts to emerge. At
t
= 371, this "bulge" becomes a prominent structural feature just prior to the tumor's suc-
cessful invasion of the second nutrient source.
In the following, we discuss the parameters that we have examined in our
previous work to establish robust numerical results.
6.1. Search Mechanism
In (6), we employ a 2D model in which tumor cells are capable of searching
both globally and locally. We performed simulations for various values of (i) the
(inverse) intrinsic capability to migrate,
r
S
, and (ii) the rate of nutrient depletion,
