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Geometry optimization of branchings in vascular networks

: Khamassi, J.; Bierwisch, C.; Pelz, P.

Postprint urn:nbn:de:0011-n-4234262 (1.6 MByte PDF)
MD5 Fingerprint: 1e7a4a74f5eaee8b461a849962caee95
Erstellt am: 14.2.2017

Physical Review. E 93 (2016), Nr.6, Art. 062408, 10 S.
ISSN: 1063-651X
ISSN: 1539-3755
ISSN: 2470-0045
ISSN: 2470-0053
ISSN: 1550-2376
European Commission EC
FP7-NMP; 263416; ARTIVASC 3D
Zeitschriftenaufsatz, Elektronische Publikation
Fraunhofer IWM ()
Gefäßverzweigungen; Wandscherspannung; numerische Strömungsmechanik

Progress has been made in developing manufacturing technologies which enable the fabrication of artificial vascular networks for tissue cultivation. However, those networks are rudimentary designed with respect to their geometry. This restricts long-term biological functionality of vascular cells which depends on geometry-related fluid mechanical stimuli and the avoidance of vessel occlusion. In the present work, a bioinspired geometry optimization for branchings in artificial vascular networks has been conducted. The analysis could be simplified by exploiting self-similarity properties of the system. Design rules in the form of two geometrical parameters, i.e., the branching angle and the radius ratio of the daughter branches, are derived using the wall shear stress as command variable. The numerical values of these parameters are within the range of experimental observations. Those design rules are not only beneficial for tissue engineering applications. Moreover, they can be used as indicators for diagnoses of vascular diseases or for the layout of vascular grafts.