Biomedical Engineering Reference
In-Depth Information
FIGURE 2.13: Mean length (top line, left panel) and mean thickness (top
line, right panel) of the branches formed in a 16 MLP-29 cells round island
after 3000 MCS ( 24 h) as a function of the persistence penalty coecient
per
C
in the cases of
c
= "
c
= 10
5
s
1
,
c
= "
c
= 10
4
s
1
, and
c
=
"
c
= 10
3
s
1
. (Bottom line, left panel) Mean length (light line) and mean
thickness (dark line) as functions of the initial number of cells forming the
colony for
c
= "
c
= 5 10
4
s
1
. (Bottom line, right pane) Number of the
branches formed in a time-lapse of 3000 MCS ( 24 h) as a function of the
initial cell density of the island. Insets are representative configurations after
3000 MCS. The error bars indicate standard deviations over 10 simulations.
of the parameter they are almost formed by four or five parallel cells that
are not completely polarized; see Figure 2.13 (top line). For
per
C
> 45 the
branches tend to become only one cell wide and comprise of two or three elon-
gated cells in length. For still higher values, there is a sort of limit threshold.
Obviously the branches cannot be formed by less than a single cell and those
that are longer than 52 m tend to detach from the main corpus of the
colony and, as isolated cells, to migrate in the direction of their longer axes, a
behavior also observed in the experiments. It is also worth noticing that the
geometry of the branches is not dramatically influenced by the dose of HGF,
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