We present a framework for the construction of vascular systems based on optimality
principles of theoretical physiology. Given the position and flow distribution of end points of a …

There is a marked difference in the structure of the arterial tree between epi-and endocardial
layers of the human heart. To model these structural variations, we developed an extension …

The computational method of constrained constructive optimization was used to generate
complex arterial model trees by optimization with respect to a target function. Changing the …

Computer models of arterial trees can be generated from optimization principles using the
algorithm of constrained constructive optimization (CCO). Up to now this algorithm could …

Given the relevance of the inextricable coupling between microcirculation and physiology,
and the relation to organ function and disease progression, the construction of synthetic …

The vascular system is arguably the most important biological system in many organisms.
Although the general principles of its architecture are simple, the growth of blood vessels …

The computational method of constrained constructive optimization (CCO) has been
generalized in two important respects:(1) arterial model trees are now grown within a …

The aim of this study was to investigate the extent that functional capability of vascular trees
is related to anatomical variability. To these ends we used the method of Constrained …

The arterial systems in mammals are essentially networks of binary branching trees, made
up of vascular segments. Successive branching gives rise to selfsimilar structures, and …

The development of mathematical models for studying phenomena observed in vascular
networks is very useful for its potential applications in medicine and physiology. Detailed 3D …