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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Official URL http://scitation.aip.org/content/aip/journal/jcp/1... |
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 |
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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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