Shibeshi Shewaferaw S, Everett Joseph, Venable Demetrius D, Collins William E
Department of Physics and Astronomy, Howard University, Washington, DC 20059, USA.
ASAIO J. 2005 May-Jun;51(3):269-74. doi: 10.1097/01.mat.0000160579.11018.ae.
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.
先前的研究表明,心血管系统和组织中的血流以及大分子的运输对于理解动脉疾病的发生和发展、有效实施动脉移植以及设计高效的药物递送机制至关重要。在本研究中,我们使用计算流体动力学来模拟低密度脂蛋白(LDL)在三维可渗透T型交界处的血流和运输。纳维-斯托克斯方程、达西定律和平流扩散方程是用于模拟系统流动和运输现象的数学模型。在实现有限体积法的数值模型中,我们使用了计算流体动力学软件Fluent 6.1。模拟结果显示,在生理流动条件下,交界处管腔表面的LDL浓度较高。从管腔表面向动脉内1毫米深处,LDL浓度约为管腔浓度的40%,在2毫米深处,浓度降至20%。最终,浓度进一步下降,在外壁边界处降至零。