Biomedical Engineering Reference
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FIGURE 8.9: Tumor development with the inclusion of cell proliferation.
External cells quickly undergo mitosis, constituting a front of little islands,
(B), which, due to further cell proliferations, come in contact with the main
tumor mass by short and thick (4{5 cell-wide) \ngers", (C). The high cellular
density, in turn, enforces cell{cell adhesive interactions, which balance the
effect of the haptotaxis and the increased cell motility, and do not permit the
breakage of the formed fingers. (D) Zoom view of cell divisions.
a sucient quantity of growth factors to proliferate, as widely demonstrated
in literature with mitogenic assays (refer for example to [272, 375, 423]) and
explained in details in [7]. Procedurally, the mechanism of cell division is im-
plemented by dividing the proliferating individual into two identical daughter
cells, with both the nucleus (which is randomly located) and the cytosolic
region halved with respect to their parent; see Figure 8.9. However, due to
the shape constraints in Equation (8.1), they will gradually \maturate" into
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