Abstract
In this paper we present a computational method to generate a network of vessels by optimization of its individual bifurcations and topology in such a way, that the local (geometric) and global (topological) structure of the vessel tree is optimized according to the same target function. Arterial trees are modeled as two-dimensional branching systems of straight cylindrical tubes. Resistance and flow conditions in the model trees are governed by Poiseuille's law. Tree generation is performed by successively adding segments, so that certain structural and geometric constraints are fulfilled at each stage of development. In the present work, the structural characteristics of trees with 4000 terminal segments generated by constrained constructive optimization (CCO) are investigated and related to variation of the constraints, the optimization criteria, and the sequence in which new terminal segments are added to the tree.
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