Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow
Jiakou Wang - Department of Mathematics, Penn State University, University Park, PA 16802, United States (email)
Abstract: 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.
Keywords: cell aggregation, nonlinear shear flow, tumor metastasis, Smolu-chowski equation, population balance model, numerical simulation, parallel plate flow chamber
Received: May 2006; Accepted: June 2006; Published: August 2006.
2012 Impact Factor1.195