1960
DOI: 10.1039/tf9605600599
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Concentration polarization in plane membrane-solution systems

Abstract: The occurrence of threshold phenomena at membranes is of fundamental importance in studies of excitation of living cells. This paper presents the derivation of generalized expressions for solution concentration as a function of time and distance in a simple plane membrane+ solution system under constant current polarization, considering both thick and thin membranes ; the conditions of occurrence of threshold effects are deduced. From these expressions are obtained the relation between potential difference and… Show more

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Cited by 9 publications
(6 citation statements)
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“…1). The distance between the membrane surface (x = 0) and the point (x = 6) of the diffusion layer where the concentration difference between this point and the noninfluenced electrolyte solution [c(6)-c(+ ~)] is i % of the concentration shift at the membrane surface [c(0)-c(+ ~)] shall be defined as thickness 6 of the diffusion layer (see also Dewhurst, 1960;Ibl, 1962). We will proceed only from the interface of membrane/solution II, since the analogous holds for the other side (Fig.…”
Section: Theorymentioning
confidence: 99%
“…1). The distance between the membrane surface (x = 0) and the point (x = 6) of the diffusion layer where the concentration difference between this point and the noninfluenced electrolyte solution [c(6)-c(+ ~)] is i % of the concentration shift at the membrane surface [c(0)-c(+ ~)] shall be defined as thickness 6 of the diffusion layer (see also Dewhurst, 1960;Ibl, 1962). We will proceed only from the interface of membrane/solution II, since the analogous holds for the other side (Fig.…”
Section: Theorymentioning
confidence: 99%
“…The DNA is present as a nondiffusing ionic species between (or at either sides of) planes 2 and 3 [see Figs. 1(a) and 1(c)] or in a concentration that in equilibrium yields the current transport numbers [18] for the mobile ions in accordance with the DNA-EDL model described above.…”
Section: -2mentioning
confidence: 91%
“…This effect, which will be referred to here as the "transport number effect" (e.g., Barry & Hope, 1969), is also sometimes referred to as "concentration polarization" (e.g., Dewhurst, 1960). For a review of such effects, their mechanisms, and implications see either the specific review of transport number effects by Barry (1983) or the general review of unstirred-layer phenomena by Barry and Diamond (1984).…”
Section: C(t)-c(oo)mentioning
confidence: 99%