Coming to the heart of membrane science, we now focus on electrodiffusion, a theoretical model that has played a central role in the development of our understanding of ion currents through membranes.
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Notes And References
As we saw in Chapter 6, aqueous solutions are not neutral all the way to the membrane or other boundary. There is a double layer, of counterions and coions, within a few tenths of a nanometer of the surface.
A. L. Hodgkin and B. Katz, J. Physiol. (Lond.) 108:37–77, 1949.
We have here assumed that no interaction exists between the ion and the membrane; such interactions are often accounted for by replacing N by yN, where y is the activity coefficient.
In some works, the symbol E is used to stand for voltage.
The mechanical mobility is the reciprocal of the coefficient of friction.
See, e.g., R. P. Feynman, R. B. Leighton and M. Sands, The Feynman Lectures on Physics, Addison-Wesley, Reading, MA, 1963, vol. I, Chapter 9.
Kenneth S. Cole, Membranes, Ions and Impulses, University of California, Berkeley, 1972, 450. By permission of University of California Press.
G. Ehrenstein and H. Lecar, Ann. Rev. Biophys. Bioeng. 1:347, 1972.
K. S. Cole, Physiol. Rev. 45:340–379, 1965.
F. Borgnis, Z. Physik 100:117, 478, 1936.
H. R. Leuchtag and J. C. Swihart, Biophys. J. 17:24–46, 1977.
G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University, 1962; H. A. Antosiewitz, in Applied Math. Series 55: Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, U. S. National Bureau of Standards, Washington, 1964.
Stephen Wolfram, A New Kind of Science, Wolfram Media, Inc., Champaign, Ill., 2002, 145.
H. R. Leuchtag and J. C. Swihart, Biophys. J. 17:27–46, 1977.
Nigel Goldenfeld, Lectures on Phase Transitions and the Renormalization Group, Addison-Wesley, Reading, MA, 1992, 133.
N. Sinharay and B. Meltzer, Solid-State Electron. 7:125, 1964.
K. S. Cole and J. W. Moore, J. Gen. Physiol. 43:971–980, 1960; details of the data fitting are in H. Richard Leuchtag, Indiana University Ph. D. thesis, University Microfilms International, Ann Arbor, Mich., 1974, 142–162.
E. Rojas and G. Ehrenstein, J. Cell. Comp. Physiol. 66 (Suppl. 2):71–77, 1965.
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(2009). Ions Drift And Diffuse. In: Leuchtag, H.R. (eds) Voltage-Sensitive Ion Channels. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5525-6_7
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