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Jump rates for anisotropic particles

Model calculations for the transport of water molecules through membrane channels

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Abstract

A theoretical analysis for site-to-site jump rates for anisotropic molecules is presented. The molecular shape is regarded as a mechanical anisotropy in the form of finite moments of inertia, as well as anisotropy with respect to the interaction potential. The mutual coupling between rotational and translational motion necessarily produces a competitive effect between the equilibrium alignment in the local field and the precession of the figure axis, leading to an increase of the effective activation energy. As a numerical example the jump rate for a water molecule in a gramicidin-like channel has been calculated, and a temperature-independent reduction of some 15% for the rate as compared to the point-like molecule has been found.

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Schröder, H. Jump rates for anisotropic particles. Eur Biophys J 14, 321–328 (1987). https://doi.org/10.1007/BF00262317

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  • DOI: https://doi.org/10.1007/BF00262317

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