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[J]. Mathematical Biosciences and Engineering, 2006, 3(4): 683-696. doi: 10.3934/mbe.2006.3.683
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.