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Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow

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

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.
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Keywords tumor metastasis; cell aggregation; numerical simulation; nonlinear shear flow; population balance model; parallel plate flow chamber experiments.; Smolu-chowski equation

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

 

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