Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow
In this paper, we develop a population balance model for cell aggregationand adhesion process in a nonuniform shear flow. Some Monte Carlosimulation results based on the model are presented for the heterotypic cell-cellcollision and adhesion to a substrate under dynamic shear forces. In particular,w...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.683 |
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| author | Jiakou Wang Margaret J. Slattery Meghan Henty Hoskins Shile Liang Cheng Dong Qiang Du |
| author_facet | Jiakou Wang Margaret J. Slattery Meghan Henty Hoskins Shile Liang Cheng Dong Qiang Du |
| author_sort | Jiakou Wang |
| collection | DOAJ |
| description | In this paper, we develop a population balance model for cell aggregationand adhesion process in a nonuniform shear flow. Some Monte Carlosimulation results based on the model are presented for the heterotypic cell-cellcollision and adhesion to a substrate under dynamic shear forces. In particular,we focus on leukocyte (PMN)-melanoma cell emboli formation and subsequenttethering 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 ofthe population balance type modelling. |
| format | Article |
| id | doaj-art-9de5c1dd1c454daea837dfa4f69ba12e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9de5c1dd1c454daea837dfa4f69ba12e2025-01-24T01:52:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-07-013468369610.3934/mbe.2006.3.683Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flowJiakou Wang0Margaret J. Slattery1Meghan Henty Hoskins2Shile Liang3Cheng Dong4Qiang Du5Department of Mathematics, Penn State University, University Park, PA 16802Department of Mathematics, Penn State University, University Park, PA 16802Department of Mathematics, Penn State University, University Park, PA 16802Department of Mathematics, Penn State University, University Park, PA 16802Department of Mathematics, Penn State University, University Park, PA 16802Department of Mathematics, Penn State University, University Park, PA 16802In this paper, we develop a population balance model for cell aggregationand adhesion process in a nonuniform shear flow. Some Monte Carlosimulation results based on the model are presented for the heterotypic cell-cellcollision and adhesion to a substrate under dynamic shear forces. In particular,we focus on leukocyte (PMN)-melanoma cell emboli formation and subsequenttethering 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 ofthe population balance type modelling.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.683tumor metastasiscell aggregationnumerical simulationnonlinear shear flowpopulation balance modelparallel plate flow chamberexperiments.smolu-chowski equation |
| spellingShingle | 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 tumor metastasis cell aggregation numerical simulation nonlinear shear flow population balance model parallel plate flow chamberexperiments. smolu-chowski equation |
| title | Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| title_full | Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| title_fullStr | Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| title_full_unstemmed | Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| title_short | Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| title_sort | monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow |
| topic | tumor metastasis cell aggregation numerical simulation nonlinear shear flow population balance model parallel plate flow chamberexperiments. smolu-chowski equation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.683 |
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