Derivation of analytical expressions for the electrical potential distribution in lipid structures

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Title:	Derivation of analytical expressions for the electrical potential distribution in lipid structures
Authors:	曾琇瑱;Tseng, Shio-jenn;Hsu, Jyh-ping;Jiang, Ji-Ming
Contributors:	淡江大學數學學系
Date:	2005-04-28
Issue Date:	2010-01-28 07:20:03 (UTC+8)
Publisher:	American Chemical Society (ACS)
Abstract:	The electrical potential inside a lipid structure, which is described by a modified Poisson−Boltzmann equation in the literature (Borukhov et al. Electrochim. Acta 2000, 46, 221), is solved, taking into account the effects of ionic sizes. Here, a micelle comprises an ionic surfactant layer and an aqueous core; the dissociation of the former yields a charged surface. The governing equation, which was solved numerically in a previous study for spherical geometry (Hsu et al. J. Phys. Chem. B 2003, 107, 14429), is solved analytically in this study for planar, cylindrical, and spherical geometries. The analytical results obtained are readily applicable for the evaluation of the spatial distributions of counterions inside a lipid structure. We show that if the linear size of a reverse micelle is fixed, the degree of dissociation of the surfactant layer follows the order planar > cylindrical > spherical.
Relation:	Journal of Physical Chemistry B 109(16), pp.8180-8184
DOI:	10.1021/jp044238b
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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