Effect of the leg muscle pump on the rise in muscle perfusion during muscle work in humans

Nådland, Inger Helene; Walløe, Lars; Toska, Karin

doi:10.1096/fasebj.21.6.lb96-b

Cited by 1 publication

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“…On the other hand, veins are subjected to very low blood pressures and rely on muscle contractions and oneway valves to push blood back to the heart. The muscle pump effect, which denotes the mechanism of venous return via muscle contraction, has been intensively studied from a medical point of view ( [1,2,3]). Numerical studies of this mechanism have also been performed in [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

Fluid‐structure interaction simulations of venous valves: A monolithic ALE method for large structural displacements

Calandrini

Aulisa

2018

Numer Methods Biomed Eng

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Venous valves are bicuspidal valves that ensure that blood in veins only flows back to the heart. To prevent retrograde blood flow, the two intraluminal leaflets meet in the center of the vein and occlude the vessel. In fluid-structure interaction (FSI) simulations of venous valves, the large structural displacements may lead to mesh deteriorations and entanglements, causing instabilities of the solver and, consequently, the numerical solution to diverge. In this paper, we propose an arbitrary Lagrangian-Eulerian (ALE) scheme for FSI simulations designed to solve these instabilities. A monolithic formulation for the FSI problem is considered, and due to the complexity of the operators, the exact Jacobian matrix is evaluated using automatic differentiation. The method relies on the introduction of a staggered in time velocity to improve stability, and on fictitious springs to model the contact force of the valve leaflets. Because the large structural displacements may compromise the quality of the fluid mesh as well, a smoother fluid displacement, obtained with the introduction of a scaling factor that measures the distance of a fluid element from the valve leaflet tip, guarantees that there are no mesh entanglements in the fluid domain. To further improve stability, a streamline upwind Petrov-Galerkin (SUPG) method is employed. The proposed ALE scheme is applied to a two-dimensional (2D) model of a venous valve. The presented simulations show that the proposed method deals well with the large structural displacements of the problem, allowing a reconstruction of the valve behavior in both the opening and closing phase.

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