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Number of results
2012 | 33 | 3 | 385-396
Article title

Mathematical model for biological cell deformation in a cylindrical pore

Content
Title variants
Languages of publication
EN
Abstracts
EN
Some studies show that cells are able to penetrate through pores that are smaller than cell size. It concerns especially Red Blood Cells but it also may concern different types of biological cells. Such penetration of small pores is a very significant problem in the filtration process, for example in micro- or ultrafiltration. Deformability of cells allows them to go through the porous membrane and contaminate permeate. This paper shows how cells can penetrate small cylindrical holes and tries to assess mechanical stress in a cell during this process. A new mathematical approach to this phenomenon was presented, based on assumptions that were made during the microscopic observation of Red Blood Cell aspiration into a small capillary. The computational model concerns Red Blood Cell geometry. The mathematical model allows to obtain geometrical relation as well as mechanical stress relations.
Publisher

Year
Volume
33
Issue
3
Pages
385-396
Physical description
Dates
published
1 - 10 - 2012
received
accepted
online
31 - 10 - 2012
Contributors
author
  • Warsaw University of Technology, Department of Chemical and Process Engineering, Warynskiego 1, 00-645 Warsaw, Poland, mszwast@ichip.pw.edu.pl
  • Warsaw University of Life Sciences, Department of Hydraulic Engineering and Environmental Reclamation, Nowoursynowska 166, 02-787, Warsaw Poland
  • Warsaw University of Technology, Department of Chemical and Process Engineering, Warynskiego 1, 00-645 Warsaw, Poland
References
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  • Shinde M.H., Kulkarni S.S., Musale D.A., Joshi S.G., 1999. Improvement of the water purification capability of poly(acrylonitrile) ultrafiltration membranes. J. Membr. Sci., 162, 9-22. DOI: 10.1016/S0376-7388(99)00100-3.[Crossref]
  • Suchecka T., Piątkiewicz W., Sosnowski T.R., 2005. Is the cell retention by MF membrane absolutely safe - a hypothetical model for cell deformation in a membrane pore. J. Membr. Sci., 250, 135-140. DOI: 10.1016/j.memsci.2004.08.035.[Crossref]
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  • Ye T., Li H., Lam K.Y., 2011. Motion, deformation and aggregation of two cells in a microchannel by dielectrophoresis. Electrophoresis, 32, 3147-3156. DOI: 10.1002/elps.201100240.[Crossref][WoS]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_v10176-012-0034-x
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