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 …

Computer generation of complex arterial tree models

W Schreiner - Journal of biomedical engineering, 1993 - Elsevier
Detailed models binary branching arterial trees can be generated on a computer by using a
new optimization technique; additional branches are successively added, while given …

A new approach to blood flow simulation in vascular networks

H Tamaddon, M Behnia, M Behnia… - Computer methods in …, 2016 - Taylor & Francis
A proper analysis of blood flow is contingent upon accurate modelling of the branching
pattern and vascular geometry of the network of interest. It is challenging to reconstruct the …

Mathematical model representing blood flow in arteries

JH Gerrard, LA Taylor - Medical and Biological Engineering and …, 1977 - Springer
A mathematical model is described which can be used to calculate blood flow in a normal
artery from pressures measured at two separated points. The equations of motion of fluid in …

Modeling of blood flow in arterial trees

T Anor, L Grinberg, H Baek, JR Madsen… - … Systems Biology and …, 2010 - Wiley Online Library
Advances in computational methods and medical imaging techniques have enabled
accurate simulations of subject‐specific blood flows at the level of individual blood cell and …

[HTML][HTML] Review on lumped parameter method for modeling the blood flow in systemic arteries

I Kokalari, T Karaja, M Guerrisi - 2013 - scirp.org
The cardiovascular system is characterized by complex interactions between various control
mechanisms and physiological processes. Different approaches are used to provide better …

Physiologically based construction of optimized 3-D arterial tree models

M Schneider, S Hirsch, B Weber, G Székely - Medical Image Computing …, 2011 - Springer
We present an approach to generate 3-D arterial tree models based on physiological
principles while at the same time certain morphological properties are enforced at …

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 …

Tree topology analysis of the arterial system model

VS Kopylova, SE Boronovskiy… - Journal of Physics …, 2018 - iopscience.iop.org
The optimal network topology and spatial arrangement of the vessels providing a large
surface area are necessary for the efficient functioning of the vasculature. In the present …

A 3D dynamic model of vascular trees

J Bézy-Wendling, A Bruno - Journal of Biological Systems, 1999 - World Scientific
A new vascular model is presented. It is a 3D dynamic and functional model in which the
organ growth leads to the development of the vascular tree. The growth is controlled by the …