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 …

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 …

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 …

[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 …

[图书][B] Constrained constructive optimization of arterial tree models

W Schreiner, R Karch, F Neumann, M Neumann - 2000 - books.google.com
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 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 …

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 …

Fractal properties, segment anatomy, and interdependence of the human portal vein and the hepatic vein in 3D

HK Hahn, CJG Evertsz, HO Peitgen, JHD Fasel - Fractals, 2003 - World Scientific
The scaling properties of the portal vein and the hepatic vein are examined, based on three-
dimensional computed tomography images of casts of human livers. In particular, a …

Development of optimized vascular fractal tree models using level set distance function

AV Bui, R Manasseh, K Liffman, ID Šutalo - Medical engineering & physics, 2010 - Elsevier
Using the concepts of fractal scaling and constrained constructive optimization (CCO), a
branching tree model, which has physiologically meaningful geometric properties, can be …

Algorithmically generated rodent hepatic vascular trees in arbitrary detail

LO Schwen, W Wei, F Gremse, J Ehling, L Wang… - Journal of theoretical …, 2015 - Elsevier
Physiologically realistic geometric models of the vasculature in the liver are indispensable
for modelling hepatic blood flow, the main connection between the liver and the organism …