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On the viscous deformation of biological cells under anisotropic surface tension

Published online by Cambridge University Press:  21 April 2006

Daniel Zinemanas  and
Avinoam Nir
Daniel Zinemanas
Affiliation:
Department of Chemical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
Avinoam Nir
Affiliation:
Department of Chemical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Abstract

A fluid-mechanical approach for the cleavage of biological cells is presented. The equations of motion were combined with concentration and orientation distribution balances, for active contractile filaments on the cell surface, to provide a dynamic evolution of interfacial forces and deformation. The resulting flow and the simultaneously developing surface-tension anisotropy provided a mechanism that facilitates the generation of a contractile ring at the cell equator: a major organelle in the establishment of cell furrow and the ultimate cleavage. The moving-boundary problem was solved numerically using boundary-integral representation for the Stokes equations which was modified to incorporate the anisotropic interfacial tensions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 217 - 241
Copyright
© 1988 Cambridge University Press

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