A computational approach to generate concurrent arterial networks in vascular territories

PJ Blanco, RAB de Queiroz… - International Journal for …, 2013 - Wiley Online Library
In this work, a computational procedure is proposed to vascularize anatomical regions
supplied by many inflow sites. The proposed methodology creates a partition of the territory …

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 …

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 …

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 …

[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 …

Design of vascular networks: a mathematical model approach

J Yang, Y Wang - … journal for numerical methods in biomedical …, 2013 - Wiley Online Library
In this paper, methods for the modeling of a realistic vascular tree in 3D space and for
hemodynamic calculating throughout the simulated tree structure have been developed …

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 …

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 …

Constructive algorithms of vascular network modeling for training of minimally invasive catheterization procedure

Y Cai, X Ye, C Chui, JH Anderson - Advances in Engineering Software, 2003 - Elsevier
In this paper, three-dimensional modeling of vascular networks is described. We propose a
constructive approach to generating vascular segments and bifurcations using sweeping …

On the segmentation of vascular geometries from medical images

AG Radaelli, J Peiro - International Journal for Numerical …, 2010 - Wiley Online Library
A comprehensive analysis of vascular morphology and the application of generic models of
vascular biomechanics to specific patients require the ability of extracting a geometrical …