title: A theory of overshoot phenomena in an ion-exchange membrane system.
abstract: A simple theory based on a kinetics equation with time delay is presented for ion permeation through an ion-exchange membrane for the case where two or more species of ions of the same charge are permeating from solutions 1 to 2 through the membrane. This theory explains the observation of Neihof and Sollner that if the exchange rates of ionic species are quite different from each other, then the concentration of the fastest exchanging species of ions in solution 2 exhibits overshoot [R. Neihof, K. Sollner, J. Phys. Chem. 61 (1957) 159].
authors.affiliation: Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki Noda, Chiba 278-8510, Japan. ohshima@rs.noda.tus.ac.jp
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Ohshima
authors.forename: Hidenori
authors.initials: H
authors.lastname: Baiju
authors.forename: Atsushi
authors.initials: A
authors.lastname: Hyono
mesh_terms: D001672:Biocompatible Materials / Q000737:chemistry*; D002412:Cations; D002852:Chromatography, Ion Exchange / Q000379:methods*; D007425:Intracellular Membranes / Q000737:chemistry*; D007474:Ion Exchange; D007477:Ions; D007700:Kinetics; D008566:Membranes; D015233:Models, Statistical; D008962:Models, Theoretical; D013597:Systems Analysis; D013997:Time Factors
chemical_list: D001672:Biocompatible Materials; D002412:Cations; D007477:Ions