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2 Applied Mechanics and Engineering

2 1999

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Influence of the non linear properties of the venous vascular wall on the deformation of vasa-vasorum

Maurice G., Wache P., Wang X., Canteri L., Blondel W., Stoltz J. F.

Applied Mechanics and Engineering

1999

Vol. 4, no. spec.

145-150

Known since a long time but relatively neglected, the venous vasa vasorum form a tiny network to irrigate and drainer the wall. Actually it is re-realized that, just like any tissues, the vein is a living tissue and the vasa vasorum play a key role in the maintenance of its homeostasis. Under the effects of intraluminal pressure, the Young's modulus (E) of the vein following an empirical relationship (Log E)2= - ('alpha' Log(p) + 'beta'), can vary in a very large range (a factor of 100) en even in physiological conditions. In this work, we simulated the deformation of venous vasa vasorum by finite element method. Thus it can be suggested that, at first, a permanent venous hypertension provoquer a local modification of the wallís mechanical properties (decrease of E) to favoriser a large deformation which will lead to a decrease of the irrigation, and secondly, with the decreased irrigation, the wall will loose its elasticity, become rigidified and keep its large deformation. A vicious cycle could be thus created.

Deformation of a model endothelial cell in flow: A two-dimensional numerical simulation

Wang X., Wache P., Maurice G., Lucius M., Stoltz J. F.

Applied Mechanics and Engineering

1999

Vol. 4, no. spec.

185-190

Mechanical forces induced by blood flow influence largely endothelial cells' behavior. Also they can modify the expression and distribution of biological receptors, orient cytoskeleton, modify vasoactive factors, etc.. The objective of this study was to determine the deformation of a model endothelial cell exposed to a laminar flow. The cell was supposed to be a two dimensional elastic material. The interaction between the flow and cell deformation was simulated numerically by finite element method. Thus the distributions of mechanical forces on cell surface were obtained. The numerical results showed that the cell deformation depended on imposed flow velocity and that the mechanical stresses on cell surface were not uniform and lower with deformation than without. These numerical results suggest that it'll be interesting to study eventual correlation between the distribution of cell's biological receptors and that of mechanical factors.