Time domain computational modelling of 1D arterial networks in monochorionic placentas

Franke, Victoria E., Parker, Kim H., Wee, Ling Y., Fisk, Nicholas M. and Sherwin, Spencer J. (2003) Time domain computational modelling of 1D arterial networks in monochorionic placentas. ESAIM: Mathematical Modelling and Numerical Analysis, 37 4: 557-580. doi:10.1051/m2an:2003047

Author Franke, Victoria E.
Parker, Kim H.
Wee, Ling Y.
Fisk, Nicholas M.
Sherwin, Spencer J.
Title Time domain computational modelling of 1D arterial networks in monochorionic placentas
Journal name ESAIM: Mathematical Modelling and Numerical Analysis   Check publisher's open access policy
ISSN 0764-583X
Publication date 2003-07-01
Year available 2003
Sub-type Article (original research)
DOI 10.1051/m2an:2003047
Open Access Status DOI
Volume 37
Issue 4
Start page 557
End page 580
Total pages 24
Editor C. Le Bris
A.T. Patera
Place of publication Paris, France
Publisher EDP Sciences
Language eng
Subject 111401 Foetal Development and Medicine
111402 Obstetrics and Gynaecology
1114 Paediatrics and Reproductive Medicine
Formatted abstract
In this paper we outline the hyperbolic system of governing equations describing one-dimensional blood flow in arterial networks. This system is numerically discretised using a discontinuous Galerkin formulation with a spectral/hp element spatial approximation. We apply the numerical model to arterial networks in the placenta. Starting with a single placenta we investigate the velocity waveform in the umbilical artery and its relationship with the distal bifurcation geometry and the terminal resistance. We then present results for the waveform patterns and the volume fluxes throughout a simplified model of the arterial placental network in a monochorionic twin pregnancy with an arterio-arterial anastomosis and an arterio-venous anastomosis. The effects of varying the time period of the two fetus' heart beats, increasing the input flux of one fetus and the role of terminal resistance in the network are investigated and discussed. The results show that the main features of the in vivo, physiological waves are captured by the computational model and demonstrate the applicability of the methods to the simulation of flows in arterial networks.
© EDP Sciences, SMAI 2003.

Keyword Wave propagation
Mathematical model
Spectral/hp element
Arterial networks
Monochorionic placentas
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown
Additional Notes Issue: July/August 2003

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Medicine Publications
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Citation counts: TR Web of Science Citation Count  Cited 19 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 19 times in Scopus Article | Citations
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Created: Fri, 20 Mar 2009, 02:03:51 EST by Mary-Anne Marrington on behalf of Faculty Of Health Sciences