Vascular
Branching
147
microcirculatory
black
box
Fig.
5.1.5:
A
schematic drawing
of
the constrained constructive optimization, showing
perfusion through the
root
segment and
blood
delivery
by
terminal segments at
four
randomly chosen locations within a given perfusion area. From Schreiner et al.
(2000).
Another approach to examine the branching structure of blood vessels
is through the constrained constructive optimization. This technique has
been shown to be able to generate realistic models of arterial trees
involving thousands of vascular segments. An example is given by
Schreiner et al.
(2000),
shown in Fig.
5.1.5.
Here, a drawing of the
constrained constructive optimization scheme is displayed, showing
perfusion through the root segment and blood delivery by terminal
segments at four randomly chosen locations within
a
given perfusion
area. Further, the bifurcation scheme
is
utilized where the radii of the
mother and daughter vessels segments at each bifurcation follows: