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. Author manuscript; available in PMC: 2014 Nov 1.
Published in final edited form as: Ann Biomed Eng. 2013 Jul 11;41(11):10.1007/s10439-013-0828-0. doi: 10.1007/s10439-013-0828-0

FIGURE 3.

FIGURE 3

Schematic of a single vessel segment addition using the modified Constrained Constructive Growth (CCO) algorithm.63 Segment addition begins with the selection and connection of a point P1 in the domain to the existing tree. The position x of this connection point, highlighted in red, is optimized to create a tree with the smallest luminal volume. During the optimization, the diameters di and dj, as well as the lengths li and lj of the two daughter branches, are selected so that all terminal leaves discharge equal blood flow F. N is the number of segments belonging to the tree. The application of these optimization principles leads to networks with topological features similar to vascular structures.