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Mathematical analysis of the flow over endothelial glycocalyx

Arslan N.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 4

1165-1171

Mathematical modeling of the flow over the glycocalyx located on the endothelial cells (EC) was investigated. Flow regions are considered as a core flow region which is the flow in the lumen of the vessel which are simiIar flow to the Poiseuille flow inside the straight pipe and the flow over the glycocalyx located on the EC which are considered as flow through the porous media. Solutions were found in both regions and also wall shear stresses (WSS) and drag forces were calculated.

Bionic design of tube formation in the integrated cellular structure

Tanishita K., Ueda A., Sudo R., Ikeda M., Mitaka T.

Biocybernetics and Biomedical Engineering

2007

Vol. 27, no. 1-2

83-87

The individual cells in the reconstructed cellular structures do not necessarily receive sufficient oxygen and necessary substances supply only by diffusion, and it is necessary to install a blood vessel network formation in the cellular structure. In other words, the vessel network formation is essentially required to achieve cellular function, and to develop a technology of reconstruction of the vessel network installed in the three-dimensional cellular architecture is needed. Here the procedure of the tube formation of blood vessels and bile canaliculi (BC) in vitro is focused on, demonstrating a possibility of tube formation in cellular structures reconstructed in vitro. Particularly, attention to the role of biomechanical processes in the tube formation was paid.

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.