Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow

Jiakou Wang; Margaret J. Slattery; Meghan Henty Hoskins; Shile Liang; Cheng Dong; Qiang Du

doi:10.3934/mbe.2006.3.683

Article Contents

2006, Volume 3, Issue 4: 683-696. Doi: 10.3934/mbe.2006.3.683

This issue Previous Article Modelling the human immune response mechanisms to mycobacterium tuberculosis infection in the lungs Next Article Complex spatio-temporal features in meg data

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

Received: May 2006

Revised: June 2006

Published: August 2006

Abstract / Introduction Related Papers Cited by

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 experiments.

Mathematics Subject Classification: 92C35,92C10,92-08.

Citation:

Article Metrics

HTML views() PDF downloads(56) Cited by(0)

Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content