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- W1519141324 abstract "We develop a theory of diffusion‐controlled reactions with a spot located on the sidewall of a cylindrical membrane channel that connects two reservoirs containing diffusing particles which are trapped by the site at the first contact. An expression for the Laplace transform of the rate coefficient k(t) is derived assuming that the size of the site is small compared to the channel radius. The expression is used to find the stationary value of the rate coefficient K(∞), as a function of the length and radius of the channel, the radius of the site and its position inside the channel as well as the particle diffusion constants in the bulk and in the channel. Our derivation is based on the one‐dimensional description of the particle motion in the channel including a binding site. The validity of the approximate one‐dimensional description of diffusion was checked by three‐dimensional Brownian dynamics simulations. We found that the one‐dimensional description works reasonably well when the size of the site does not exceed 0.2 of the channel radius.We develop a theory of diffusion‐controlled reactions with a spot located on the sidewall of a cylindrical membrane channel that connects two reservoirs containing diffusing particles which are trapped by the site at the first contact. An expression for the Laplace transform of the rate coefficient k(t) is derived assuming that the size of the site is small compared to the channel radius. The expression is used to find the stationary value of the rate coefficient K(∞), as a function of the length and radius of the channel, the radius of the site and its position inside the channel as well as the particle diffusion constants in the bulk and in the channel. Our derivation is based on the one‐dimensional description of the particle motion in the channel including a binding site. The validity of the approximate one‐dimensional description of diffusion was checked by three‐dimensional Brownian dynamics simulations. We found that the one‐dimensional description works reasonably well when the size of the site do..." @default.
- W1519141324 created "2016-06-24" @default.
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- W1519141324 date "2008-01-01" @default.
- W1519141324 modified "2023-09-23" @default.
- W1519141324 title "Diffusion-Controlled Reaction With a Spot on the Side Wall of a Cylinder Membrane Channel" @default.
- W1519141324 doi "https://doi.org/10.1063/1.2891409" @default.
- W1519141324 hasPublicationYear "2008" @default.
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