Mean first passage times for bond formation for a Brownian particle in linear shear flow above a wall

• Verfasst von: Korn, Christian B. [VerfasserIn]
• Verfasst von: Schwarz, Ulrich S. [VerfasserIn]
• Titel: Mean first passage times for bond formation for a Brownian particle in linear shear flow above a wall
• Verf.angabe: C.B. Korn and U.S. Schwarz
• Jahr: 2007
• Umfang: 62 S.
• Teil: year:2007
• Teil: extent:62
• Fussnoten: Gesehen am 12.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2007
• Band/Heft Quelle: (2007) Artikel-Nummer 0610302, 62 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Soft Condensed Matter
• Sach-SW: Quantitative Biology - Cell Behavior
• K10plus-PPN: 1566264138

Abstract

Motivated by cell adhesion in hydrodynamic flow, here we study bond formation between a spherical Brownian particle in linear shear flow carrying receptors for ligands covering the boundary wall. We derive the appropriate Langevin equation which includes multiplicative noise due to position-dependent mobility functions resulting from the Stokes equation. We 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, we identify different scaling regimes and discuss their biological relevance.