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Bull Math Biol. 2015 Sep;77(9):1813-32. doi: 10.1007/s11538-015-0105-5. Epub 2015 Sep 24.

Two-Phase Acto-Cytosolic Fluid Flow in a Moving Keratocyte: A 2D Continuum Model.

Author information

1
Center of Excellence in Energy Conversion, School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran. Nikmaneshi@mech.sharif.edu.
2
Center of Excellence in Energy Conversion, School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran. firoozabadi@sharif.edu.
3
Center of Excellence in Energy Conversion, School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran. mssaidi@sharif.edu.

Abstract

The F-actin network and cytosol in the lamellipodia of crawling cells flow in a centripetal pattern and spout-like form, respectively. We have numerically studied this two-phase flow in the realistic geometry of a moving keratocyte. Cytosol has been treated as a low viscosity Newtonian fluid flowing through the high viscosity porous medium of F-actin network. Other involved phenomena including myosin activity, adhesion friction, and interphase interaction are also discussed to provide an overall view of this problem. Adopting a two-phase coupled model by myosin concentration, we have found new accurate perspectives of acto-cytosolic flow and pressure fields, myosin distribution, as well as the distribution of effective forces across the lamellipodia of a keratocyte with stationary shape. The order of magnitude method is also used to determine the contribution of forces in the internal dynamics of lamellipodia.

KEYWORDS:

Contractile stress; Cytosolic flow; F-actin flow; Focal adhesion; Myosin motor protein; Volume fraction

PMID:
26403420
DOI:
10.1007/s11538-015-0105-5
[Indexed for MEDLINE]

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