Bernhard, S. (2005) Oscillatory flow in a tube with timedependent wall deformation and its application to Myocardial Bridges. ESAIM: Proc., 14 . pp. 2540.

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Official URL: http://dx.doi.org/10.1051/proc:2005003
Abstract
In this paper we numerically investigate a onedimensional model of blood flow in the human coronary arteries. The nonlinear hyperbolic system is expressed in terms of the crosssectional area, flow velocity and pressure (A, u, p). The more widely studied linearised system is also discussed where conservation of static pressure, instead of total pressure, is enforced. The method of outgoing characteristics is used to satisfy the interface conditions, while a threeelement windkessel model is adopted as outflow condition at the terminals of the network. Inside the segmental domain the leapfrog method is used for numerical integration. Within the context of this model we pay particular attention to the case when abrupt or smooth, space and time dependent variation of crosssectional area of an artery is caused by externally prescribed motion of the vessel walls (e.g. myocardial bridge, flow watch). The derivation of the model and the numerical implementation are detailed. They are applied to model numerical experiments of the arterial system. Additionally to a system studied in [10, 15, 22, 28] the coronary arteries are parameterised. The main features of the flow through myocardial bridges are discussed.
Item Type:  Article 

Subjects:  Subjects allied to Medicine > Anatomy > Pathology Mathematical and Computer Sciences > Mathematics > Mathematical Modelling Mathematical and Computer Sciences > Mathematics > Applied Mathematics Subjects allied to Medicine > Medical Technology > Biomechanics Physical Sciences > Physics > Medical Physics Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
ID Code:  947 
Deposited By:  Dr. Stefan Bernhard 
Deposited On:  22 Sep 2010 09:24 
Last Modified:  03 Mar 2017 14:40 
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