TY - JOUR
T1 - Migration of a finite size ligand through a fluctuating bottleneck
AU - Berezhkovskii, A. M.
AU - D'yakov, Yu A.
AU - Klafter, J.
AU - Zitserman, V. Yu
N1 - Funding Information:
The study was supported in part by the Russian Foundation for Basic Researches (Grant Nos. 95–03–09133 and 96–03–32733). JK acknowledges discussions with Professor A. Blumen, the support of GIF and of the Alexander von Humboldt Stiftung.
PY - 1998/5/1
Y1 - 1998/5/1
N2 - A model for ligand migration within a protein, where the migration is controlled by an escape through a fluctuating bottleneck, has been introduced by Zwanzig (J. Chem. Phys. 97 (1992) 3587) for point ligands. We concentrate on the case where the ligand size is finite and larger than the characteristic thermal width of the bottleneck. An analytical solution for the escape rate of the ligand is derived and the dependence of the rate on the solvent viscosity is predicted. The prediction is confirmed by a numerical solution of the eigenvalue problem for the Smoluchowski equation with the sink term.
AB - A model for ligand migration within a protein, where the migration is controlled by an escape through a fluctuating bottleneck, has been introduced by Zwanzig (J. Chem. Phys. 97 (1992) 3587) for point ligands. We concentrate on the case where the ligand size is finite and larger than the characteristic thermal width of the bottleneck. An analytical solution for the escape rate of the ligand is derived and the dependence of the rate on the solvent viscosity is predicted. The prediction is confirmed by a numerical solution of the eigenvalue problem for the Smoluchowski equation with the sink term.
UR - http://www.scopus.com/inward/record.url?scp=0032067293&partnerID=8YFLogxK
U2 - 10.1016/S0009-2614(98)00165-1
DO - 10.1016/S0009-2614(98)00165-1
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AN - SCOPUS:0032067293
SN - 0009-2614
VL - 287
SP - 442
EP - 448
JO - Chemical Physics Letters
JF - Chemical Physics Letters
IS - 3-4
ER -