Spatial curvature effects on molecular transport by diffusion

Balakrishnan, J (2000) Spatial curvature effects on molecular transport by diffusion. In: Physical Review E, 61 (4). pp. 4648-4651.

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Abstract

For a substance diffusing on a curved surface, we obtain an explicit relation valid for very small values of the time, between the local concentration, the diffusion coefficient, the intrinsic spatial curvature, and the time.We recover the known solution of Fick’s law of diffusion in the flat space limit. In the biological context, this result would be useful in understanding the variations in the diffusion rates of integral proteins and other molecules on membranes.

Item Type:	Journal Article
Publication:	Physical Review E
Publisher:	American Institute of Physics
Additional Information:	Copyright of this article belongs to American Institute of Physics.
Department/Centre:	Division of Electrical Sciences > High Voltage Engineering (merged with EE)
Date Deposited:	01 Aug 2006
Last Modified:	19 Sep 2010 04:30
URI:	http://eprints.iisc.ac.in/id/eprint/7976

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