# American Institute of Mathematical Sciences

2006, 3(4): 683-696. doi: 10.3934/mbe.2006.3.683

## Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow

 1 Department of Mathematics, Penn State University, University Park, PA 16802, United States 2 Department of Bioengineering, Penn State University, University Park, PA 16802, United States, United States, United States, United States 3 Department of Mathematics, Pennsylvania State University, University Park, PA 16802

Received  May 2006 Revised  June 2006 Published  August 2006

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.
Citation: Jiakou Wang, Margaret J. Slattery, Meghan Henty Hoskins, Shile Liang, Cheng Dong, Qiang Du. Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow. Mathematical Biosciences & Engineering, 2006, 3 (4) : 683-696. doi: 10.3934/mbe.2006.3.683
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