A three dimensional computational model of fluid-object interaction has been employed in investigation of local stresses during the motion of red blood cells in simple shear flow. The RBC membrane can withstand a finite strain, beyond which it ruptures. The generally accepted threshold value is 4% for the total areal strain. We have designed an in silico experiment where the total areal strain reached 4%. It has been noted previously that locally this value may be much larger with shorter exposure duration. During the simulation, we have analyzed local stresses of the membrane. Besides the areal strain we employed the time of exposure to a certain strain in order to include the possible cumulative damage of the membrane during the process. We have investigated the following two quantities: the maximal local strain and the cumulative load of local strain. We tracked down the locations on the membrane where these quantities reached their maximal values. We suggest that the cumulative load of local areal strain may be an appropriate measure to determine the location where the cell ruptures.
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10 March 2015
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
22–28 September 2014
Rhodes, Greece
Research Article|
March 10 2015
Local stress analysis of red blood cells in shear flow1)
Renáta Tóthová;
Renáta Tóthová
2
Cell-in-fluid Research Group, http://cell-in-fluid.fri.uniza.sk Faculty of Management Science and Informatics,
University of Žilina
Univerzitná 8215/1, 010 26 Žilina, Slovakia
Email: [email protected], [email protected]
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Ivan Cimrák
Ivan Cimrák
3
Cell-in-fluid Research Group, http://cell-in-fluid.fri.uniza.sk Faculty of Management Science and Informatics,
University of Žilina
Univerzitná 8215/1, 010 26 Žilina, Slovakia
Email: [email protected], [email protected]
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2
The work of R.Tóthová was supported by the FVG 2014 grant of Faculty of Management Science and Informatics, University of Žilina.
3
The work of I.Cimrák was supported by the Marie-Curie grant No. PCIG10-GA-2011-303580.
1)
This work was supported by the Slovak Research and Development Agency under the contract No. APVV-0441-11.
AIP Conf. Proc. 1648, 210003 (2015)
Citation
Renáta Tóthová, Ivan Cimrák; Local stress analysis of red blood cells in shear flow. AIP Conf. Proc. 10 March 2015; 1648 (1): 210003. https://doi.org/10.1063/1.4912488
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