Filipovic Nenad, Rosic Mirko, Tanaskovic Irena, Milosevic Zarko, Nikolic Dalibor, Zdravkovic Nebojsa, Peulic Aleksandar, Kojic Milos R, Fotiadis Dimitris I, Parodi Oberdan
Faculty of Mechanical Engineering, University of Kragujevac, 34000 Kragujevac, Serbia.
IEEE Trans Inf Technol Biomed. 2012 Mar;16(2):272-8. doi: 10.1109/TITB.2011.2168418. Epub 2011 Sep 19.
Atherosclerosis is a progressive disease characterized by the accumulation of lipids and fibrous elements in arteries. It is characterized by dysfunction of endothelium and vasculitis, and accumulation of lipid, cholesterol, and cell elements inside blood vessel wall. In this study, a continuum-based approach for plaque formation and development in 3-D is presented. The blood flow is simulated by the 3-D Navier-Stokes equations, together with the continuity equation while low-density lipoprotein (LDL) transport in lumen of the vessel is coupled with Kedem-Katchalsky equations. The inflammatory process was solved using three additional reaction-diffusion partial differential equations. Transport of labeled LDL was fitted with our experiment on the rabbit animal model. Matching with histological data for LDL localization was achieved. Also, 3-D model of the straight artery with initial mild constriction of 30% plaque for formation and development is presented.
动脉粥样硬化是一种渐进性疾病，其特征是脂质和纤维成分在动脉中积累。它的特点是内皮功能障碍和血管炎，以及血管壁内脂质、胆固醇和细胞成分的积累。在本研究中，提出了一种基于连续介质的三维斑块形成和发展方法。血流由三维纳维-斯托克斯方程以及连续性方程模拟，而血管腔内低密度脂蛋白（LDL）的传输则与 Kedem-Katchalsky 方程耦合。炎症过程通过另外三个反应扩散偏微分方程求解。标记 LDL 的传输与我们在兔动物模型上的实验相拟合。实现了与 LDL 定位的组织学数据匹配。此外，还展示了具有 30%斑块初始轻度狭窄的直动脉三维模型，用于斑块的形成和发展。
