Department of Mathematics, Penn State University, University Park, PA 16802.
Math Biosci Eng. 2006 Oct;3(4):683-96. doi: 10.3934/mbe.2006.3.683.
In this paper, we develop a population balance model for cell aggregation and adhesion process in a nonuniform shear flow. Some Monte Carlo simulation results based on the model are presented for the heterotypic cell-cell collision and adhesion to a substrate under dynamic shear forces. In particular, we focus on leukocyte (PMN)-melanoma cell emboli formation and subsequent tethering to the vascular endothelium (EC) as a result of cell-cell aggregation. The simulation results are compared with the results of experimental measurement. Discussions are made on how we could further improve the accuracy of the population balance type modelling.
本文针对非均匀剪切流中细胞聚集和黏附过程开发了一种群体平衡模型。基于该模型,我们给出了一些针对异型细胞-细胞碰撞和在动态剪切力下黏附到基底的蒙特卡罗模拟结果。特别地,我们关注白细胞(PMN)-黑色素瘤细胞栓子的形成以及随后由于细胞-细胞聚集导致的与血管内皮(EC)的连接。模拟结果与实验测量结果进行了比较。讨论了如何进一步提高群体平衡类型建模的准确性。