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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
Published on: February 23, 2018
Simulated blood transport of low density lipoproteins in a three-dimensional and permeable T-junction
Shewaferaw S Shibeshi1, Joseph Everett, Demetrius D Venable
1Department of Physics and Astronomy, Howard University, Washington, DC 20059, USA.
Abstract:
Previous studies indicate that blood flow and transport of macromolecules in the cardiovascular system and tissues are essential to understand the genesis and progression of arterial diseases and for the effective implementation of arterial grafts, as well as to devise efficient drug delivery mechanisms. In the present study, we use computational fluid dynamics to simulate the blood flow and transport of low-density lipoproteins (LDL) in a three-dimensional and permeable T junction. The Navier-Stokes equation, Darcy's Law, and the advective diffusion equations are the mathematical models used to simulate the flow and transport phenomena of the system. In the numeric model to implement the finite volume method, we used the computational fluid dynamics software Fluent 6.1. The simulation shows higher LDL concentration in the luminal surface at the junction under physiologic flow conditions. At 1 mm depth into the artery from the luminal surface, the LDL concentration is approximately 40% of the lumenal concentration, and at 2 mm depth, it reduces to 20%. Ultimately, the concentration drops further and reaches zero at the outer wall boundary.

