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Boundary homogenization for spherical surfaces randomly covered with nonoverlapping partially absorbing disks

Marcelli, Gianluca (2007) Boundary homogenization for spherical surfaces randomly covered with nonoverlapping partially absorbing disks. The Journal of chemical physics, 127 (17). p. 176101. ISSN 0021-9606. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Abstract

A common signaling mechanism used by cells involves producing soluble extracellular ligands, which diffuse and bind to specific receptors covering the cell surface. This mechanism can be modeled with point particles (ligands) diffusing in a medium containing reflective spheres (cells) randomly covered by non over lapping partially absorbing disks (receptors). In order to simplify the modeling, it is desirable to replace the patchy cell surface with a spherical surface where absorption is uniform. In this Note, we use a Brownian dynamics model to test an approximating formula reported by Berezhkovkii et al. [J. Chem. Phys.121, 11390 (2004)] designed for boundary homogenization problems. We also use the model to solve the more general problem of diffusion to reactive spherical sinks.

Item Type: Article
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Gianluca Marcelli
Date Deposited: 12 Nov 2015 14:57 UTC
Last Modified: 29 May 2019 16:21 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51774 (The current URI for this page, for reference purposes)
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