Comparison of Theories of Teorell’s Membrane Oscillator

  • R. H. Aranow
Chapter

Abstract

Teorel l’s membrane oscillator (Teore11 1959) consists of a silica gel wide pore membrane which separates two compartments containing the same electrolyte but with different concentrations. When a critical value of constant current flows through the membrane, oscillations of potential difference and pressure difference across the membrane are observed. Teore11 described his membrane by assuming 1) charged membrane, 2) electroneutrality, 3) Fick’s diffusion equation with convection, 4) electroosmotic flow, 5) the concentration of oppositely charged mobile ions are taken to be equal at each point within the membrane, 6) Ohm’s Law and 7) a resistance relaxation equation
$$\frac{{dR}}{{dt}} = k\left( {R - R{{\left( V \right)}_{steadystate}}} \right)$$
where R is the resistance and V is the volume flow rate. The last relation is offered as an empirical one, which serves to describe the data quite well.

References

  1. Aranow, R. H., 1963: Proc. Nat. Acad. Sci. 50, 1066.CrossRefGoogle Scholar
  2. Bearman, R., and J. I. Kirkwood, 1958: J. Chem. Phys. 28, 136.Google Scholar
  3. Franck, U., 1963: Ber. der Bunsengesellsc]laft 62, 657.Google Scholar
  4. Fujita, H., and Y. Kobotake, 1964: J. Chem. Phys. 40, 2212, 2219.Google Scholar
  5. Teoreli, T., 1959: J. Gen. Physiol. 42, 847.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1967

Authors and Affiliations

  • R. H. Aranow
    • 1
  1. 1.Research Institute for Advanced StudiesBaltimoreUSA

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