Goodman Paul D, Barlow Evan T, Crapo Peter M, Mohammad S Fazal, Solen Kenneth A
Department of Chemical Engineering, Brigham Young University, Provo, UT 84602, USA.
Ann Biomed Eng. 2005 Jun;33(6):780-97. doi: 10.1007/s10439-005-2951-z.
A numerical model of thrombosis/thromboembolism (T/TE) is presented that predicts the progression of thrombus growth and thromboembolization in low-shear devices (hemodialyzers, oxygenators, etc.). Coupled convection-diffusion-reaction equations were solved to predict velocities, platelet agonist (ADP, thromboxane A2, and thrombin) concentrations, agonist-induced and shear-induced platelet activation, and platelet transport and adhesion to biomaterial surfaces and adherent platelets (hence, thrombus growth). Single-platelet and thrombus embolization were predicted from shear forces and surface adhesion strengths. Values for the platelet-biomaterial reaction constant and the platelet adhesion strength were measured in specific experiments, but all other parameter values were obtained from published sources. The model generated solutions for sequential time steps, while adjusting velocity patterns to accommodate growing surface thrombi. Heparinized human blood was perfused (0.75 ml/min) through 580 microm-ID polyethylene flow cells with flow contractions (280 microm-ID). Thrombus initiation, growth, and embolization were observed with videomicroscopy, while embolization was confirmed by light scattering, and platelet adhesion was determined by scanning electron microscopy. Numerical predictions and experimental observations were similar in indicating: 1) the same three thrombotic locations in the flow cell and the relative order of thrombus development in those locations, 2) equal thrombus growth rates on polyethylene and silicon rubber (in spite of differing overall T/TE), and 3) similar effects of flow rate (1.5 ml/min versus 0.75 ml/min) on platelet adhesion and thrombosis patterns.
本文提出了一种血栓形成/血栓栓塞(T/TE)数值模型,该模型可预测低剪切力装置(血液透析器、氧合器等)中血栓生长和血栓栓塞的进展。通过求解对流-扩散-反应耦合方程来预测流速、血小板激动剂(ADP、血栓素A2和凝血酶)浓度、激动剂诱导和剪切诱导的血小板活化,以及血小板在生物材料表面的运输、黏附以及黏附的血小板(即血栓生长)。根据剪切力和表面黏附强度预测单个血小板和血栓的栓塞情况。血小板-生物材料反应常数和血小板黏附强度的值在特定实验中进行了测量,但所有其他参数值均来自已发表的文献。该模型在为连续时间步生成解的同时,调整流速模式以适应不断增长的表面血栓。将肝素化的人体血液以0.75毫升/分钟的流速灌注通过内径为580微米、带有流量收缩段(内径为280微米)的聚乙烯流动池。通过视频显微镜观察血栓的形成、生长和栓塞情况,通过光散射确认栓塞情况,并通过扫描电子显微镜确定血小板黏附情况。数值预测和实验观察结果相似,表明:1)流动池中相同的三个血栓形成位置以及这些位置血栓形成的相对顺序;2)聚乙烯和硅橡胶上的血栓生长速率相同(尽管总体T/TE不同);3)流速(1.5毫升/分钟与0.75毫升/分钟)对血小板黏附和血栓形成模式的影响相似。