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

DOI10.1051/m2an:2003047zbMath1065.92017OpenAlexW2162363804WikidataQ58010006 ScholiaQ58010006MaRDI QIDQ5465526

Nicholas M. Fisk, K. H. Parker, V. Franke, Ling Y. Wee, Spencer J. Sherwin

Publication date: 9 August 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2003__37_4_557_0

zbMATH Keywords

mathematical modelWave propagationnon-lineararterial networksmonochorionic placentasspectral/ hp element

Mathematics Subject Classification ID

Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flow (92C35)

Related Items (4)

Analysing the pattern of pulse waves in arterial networks: a time-domain study ⋮ A DIRECTOR THEORY APPROACH FOR MODELING BLOOD FLOW IN THE ARTERIAL SYSTEM: AN ALTERNATIVE TO CLASSICAL 1D MODELS ⋮ On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations ⋮ Absorbing boundary conditions for a 3D non-Newtonian fluid-structure interaction model for blood flow in arteries

Cites Work

• Spectral/hp methods for viscous compressible flows on unstructured 2D meshes
• One-dimensional modelling of a vascular network in space-time variables
• An Anatomically Based Model of Transient Coronary Blood Flow in the Heart
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• The Fluid Mechanics of Large Blood Vessels
• Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
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