Cockburn

Denbow

Kim H. Parker

Ling Y. Wee

Lomtev

Nicholas M. Fisk

Smith

Spencer J. Sherwin

Taylor

Victoria E. Franke

ESAIM Mathematical Modelling and Numerical Analysis

English

Franke, Victoria E.

Parker, Kim H.

Wee, Ling Y.

Fisk, Nicholas M.

Sherwin, Spencer J.

Numérisation de Documents Anciens Mathématiques

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

Franke V

Sherwin S

Parker K

Watkins N

Ling W

Fisk NM

Spiral - Imperial College Digital Repository

A one dimensional model for blood ﬂow: application to vascular prosthesis,

An anatomically based model of transient coronary blood ﬂow in the heart.

Anatenatal factors at diagnosis that predict outcome in twin-twin transfusion syndrome.

Colour doppler energy insonation of placental vasculature in monochorionic twins: absent arterio-arterial anastomoses in association with twin-to-twin transfusion syndrome.

Computational modelling of 1d blood ﬂow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system.

Dispersion analysis of the continuous and discontinuous Galerkin formulations,

Doppler detection of arterio-arterial anastomoses in monochorionic twins: feasibility and clinical application.

Geometrical multiscale models of the cardiovascular system: from lumped parameters to 3d simulations.

Identiﬁcation of arterio-venous anastomoses in vivo in monochorionic twin pregnancies: preliminary report. Ultrasound Obstet.

Mapping the monochorionic equator.

McDonald’s Blood Flow in Arteries. Theoretical, experimental and clinical principles, volume Fourth Edition,

Modiﬁed quintero staging system for twin-twin transfusion syndrome. Submitted to Ultrasound Obstet.

One-dimensional modelling of a vascular network in space-time variables.

Placental angioarchitecture in monochorionic twin pregnancies: relationship to fetal growth, feto-fetal transfusion syndrome, fetofetal transfusion syndrome, and pregnancy outcome.

Spectral/hp methods for viscous compressible ﬂows on unstructured 2d meshes.

The ﬂuid mechanics of large blood vessels, volume First Edition,

The twin-twin transfusion syndrome.

TVB Runge-Kutta projection discontinous Galerkin ﬁnite element methods for conservation laws II general framework.

Wave propagation in a model of the arterial circulation. S u b m i t t e dt oJ .B i o m e c h

Time domain computational modelling of 1D arterial networks in the placenta

Crossref

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 OAI-PMH repository (1.2.0)

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

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Numérisation de Documents Anciens Mathématiques

Spiral - Imperial College Digital Repository

Crossref

EDP Sciences OAI-PMH repository (1.2.0)