Mean first passage times for bond formation for a Brownian particle in linear shear flow above a wall
Motivated by cell adhesion in hydrodynamic flow, here the authors study bond formation between a spherical Brownian particle in linear shear flow carrying receptors for ligands covering the boundary wall. They derive the appropriate Langevin equation which includes multiplicative noise due to positi...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
5 March 2007
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| In: |
The journal of chemical physics
Year: 2007, Volume: 126, Issue: 9 |
| ISSN: | 1089-7690 |
| DOI: | 10.1063/1.2464080 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1063/1.2464080 Verlag, Volltext: http://aip.scitation.org/doi/10.1063/1.2464080 
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| Author Notes: | C.B. Korn, University of Heidelberg, Im Neuenheimer Feld 293, D-69120, Germany and Max Planck Institute of Colloids and Interfaces, D-14424 Potsdam, Germany; U.S. Schwarz, University of Heidelberg, Im Neuenheimer Feld 293, D-69120, Germany |
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| 245 | 1 | 0 | |a Mean first passage times for bond formation for a Brownian particle in linear shear flow above a wall |c C.B. Korn, University of Heidelberg, Im Neuenheimer Feld 293, D-69120, Germany and Max Planck Institute of Colloids and Interfaces, D-14424 Potsdam, Germany; U.S. Schwarz, University of Heidelberg, Im Neuenheimer Feld 293, D-69120, Germany |
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| 520 | |a Motivated by cell adhesion in hydrodynamic flow, here the authors study bond formation between a spherical Brownian particle in linear shear flow carrying receptors for ligands covering the boundary wall. They derive the appropriate Langevin equation which includes multiplicative noise due to position-dependent mobility functions resulting from the Stokes equation. They present a numerical scheme which allows to simulate it with high accuracy for all model parameters, including shear rate and three parameters describing receptor geometry (distance, size, and height of the receptor patches). In the case of homogeneous coating, the mean first passage time problem can be solved exactly. In the case of position-resolved receptor-ligand binding, they identify different scaling regimes and discuss their biological relevance. | ||
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