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  Reaction Rate of Small Diffusing Molecules on a Cylindrical Membrane

Straube, R., Ward, M. J., & Falcke, M. (2007). Reaction Rate of Small Diffusing Molecules on a Cylindrical Membrane. Journal of Statistical Physics, 129(2), 377-405. doi:10.1007/s10955-007-9371-4.

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 Creators:
Straube, R.1, Author              
Ward, M. J.2, Author
Falcke, M.3, Author
Affiliations:
1Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738155              
2University of British Columbia, Department of Mathematics, Vancouver, Canada, ou_persistent22              
3Hahn-Meitner-Institut Berlin, Abteilung Theoretische Physik, ou_persistent22              

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 Abstract: Biomembranes consist of a lipid bi-layer into which proteins are embedded to fulfill numerous tasks in localized regions of the membrane. Often, the proteins have to reach these regions by simple diffusion. Motivated by the observation that IP3 receptor channels (IP3R) form clusters on the surface of the endoplasmic reticulum (ER) during ATP-induced calcium release, the reaction rate of small diffusing molecules on a cylindrical membrane is calculated based on the Smoluchowski approach. In this way, the cylindrical topology of the tubular ER is explicitly taken into account. The problem can be reduced to the solution of the diffusion equation on a finite cylindrical surface containing a small absorbing hole. The solution is constructed by matching appropriate ‘inner’ and ‘outer’ asymptotic expansions. The asymptotic results are compared with those from numerical simulations and excellent agreement is obtained. For realistic parameter sets, we find reaction rates in the range of experimentally measured clustering rates of IP3R. This supports the idea that clusters are formed by a purely diffusion limited process. © Springer, Part of Springer Science+Business Media [accessed 2013 June 13th]

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Language(s): eng - English
 Dates: 2007
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: DOI: 10.1007/s10955-007-9371-4
eDoc: 320886
Other: 26/07
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Title: Journal of Statistical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 129 (2) Sequence Number: - Start / End Page: 377 - 405 Identifier: -