Biology – Quantitative Biology – Cell Behavior
Scientific paper
2008-06-27
EPL 83:28007 (2008)
Biology
Quantitative Biology
Cell Behavior
Reftex, postscript figures included
Scientific paper
10.1209/0295-5075/83/28007
For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest.
Korn Christian B.
Schwarz Ulrich S.
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