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.

JO - Chemical and Process Engineering L1 - http://journals.pan.pl/Content/84742/PDF/06-paper-Szwast.pdf L2 - http://journals.pan.pl/Content/84742 IS - No 3 October EP - 396 KW - cell deformation KW - red blood cell KW - cell stamina ER - A1 - Szwast, Maciej A1 - Suchecka, Teresa A1 - Piątkiewicz, Wojciech PB - Polish Academy of Sciences Committee of Chemical and Process Engineering JF - Chemical and Process Engineering SP - 385 T1 - Mathematical model for biological cell deformation in a cylindrical pore UR - http://journals.pan.pl/dlibra/docmetadata?id=84742 DOI - 10.2478/v10176-012-0034-x