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タイトル: Exact Green's functions for a Brownian particle reversibly binding to a fixed target in a finite, two-dimensional, circular domain
著者: Kalay, Ziya  KAKEN_id
発行日: 15-Jun-2012
出版者: IOP PUBLISHING
誌名: Journal of Physics A: Mathematical and Theoretical
巻: 45
号: 23
論文番号: 235001
抄録: Despite the apparent need to study reversible reactions between molecules confined to a two-dimensional space such as the cell membrane, exact Green's functions for this case have not been reported. Here we present exact analytical Green's functions for a Brownian particle reversibly reacting with a fixed reaction center in a finite two-dimensional circular region with reflecting or absorbing boundaries, considering either a spherically symmetric initial distribution or a particle that is initially bound. We show that Green's function can be used to predict the effect of measurement uncertainties on the outcome of single-particle/molecule-tracking experiments in which molecular interactions are investigated. Hence, we bridge the gap between previously known solutions in one dimension (Agmon 1984 J. Chem. Phys. 81 2811) and three dimensions (Kim and Shin 1999 Phys. Rev. Lett. 82 1578), and provide an example of how the knowledge of Green's function can be used to predict experimentally accessible quantities.
著作権等: © 2012 IOP Publishing Ltd.
This is not the published version. Please cite only the published version.
この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/157232
DOI(出版社版): 10.1088/1751-8113/45/23/235001
出現コレクション:学術雑誌掲載論文等

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