Optimized arterial trees supplying hollow organs

W Schreiner, R Karch, M Neumann, F Neumann… - Medical engineering & …, 2006 - Elsevier
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 …

Staged growth of optimized arterial model trees

R Karch, F Neumann, M Neumann… - Annals of biomedical …, 2000 - Springer
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 …

A three-dimensional model for arterial tree representation, generated by constrained constructive optimization

R Karch, F Neumann, M Neumann… - Computers in biology and …, 1999 - Elsevier
The computational method of constrained constructive optimization (CCO) has been
generalized in two important respects:(1) arterial model trees are now grown within a …

Limited bifurcation asymmetry in coronary arterial tree models generated by constrained constructive optimization

W Schreiner, F Neumann, M Neumann… - The Journal of general …, 1997 - rupress.org
Models of coronary arterial trees are generated by the algorithm of constrained constructive
optimization (CCO). In a given perfusion area a binary branching network of straight …

The influence of optimization target selection on the structure of arterial tree models generated by constrained constructive optimization.

W Schreiner, F Neumann, M Neumann, A End… - The Journal of general …, 1995 - rupress.org
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 …

[PDF][PDF] Global constructive optimization of vascular systems

M Georg, T Preusser, HK Hahn - 2010 - openscholarship.wustl.edu
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 …

Structural quantification and bifurcation symmetry in arterial tree models generated by constrained constructive optimization

W Schreiner, F Neumann, M Neumann, A End… - Journal of theoretical …, 1996 - Elsevier
Arterial tree models are generated by Constrained Constructive Optimization according to
minimum intravascular volume. These models, which have been shown to adequately …

Shear stress distribution in arterial tree models, generated by constrained constructive optimization

W Schreiner, F Neumann, R Karch, M Neumann… - Journal of theoretical …, 1999 - Elsevier
Models of arterial trees are generated by the algorithm of Constrained Constructive
Optimization (CCO). Straight cylindrical, binary branching tubes are arranged in an …

Voronoi polyhedra analysis of optimized arterial tree models

R Karch, F Neumann, M Neumann… - Annals of Biomedical …, 2003 - Springer
Topological and metric properties of Voronoi polyhedra (VP) generated by the distal end
points of terminal segments in arterial tree models grown by the method of constrained …

Fractal aspects of three-dimensional vascular constructive optimization

HK Hahn, M Georg, HO Peitgen - Fractals in biology and medicine, 2005 - Springer
We study various properties of constructive optimization in 3D vascular systems. After some
remarks on existing approaches to vascular modeling and on the theory of vascular …