Evidence for nonlinear capacitance in biomembrane channel system

J Theor Biol. 1999 Oct 7;200(3):299-305. doi: 10.1006/jtbi.1999.0993.

Abstract

The electrophysiological properties of voltage-dependent anion channels from mitochondrial membrane have been studied in a bilayer membrane system. It was observed that the probability of opening of the membrane channel depends on externally applied voltage and the plot is a bell-shaped curve symmetric around probability axis. A scheme of conformational energy levels under varying externally applied voltage was formulated. Assuming that the probability follows Boltzmann distribution, we arrive at an expression of change in energy containing a separate term identical to the energy of a capacitor. This fact indicates the possibility of existence of an added capacitance due to the channel protein. Further it was shown that the aforesaid channel capacitor could be a function of voltage leading to nonlinearity. We have offered a general method of calculating nonlinear capacitance from the experimental data on opening probability of a membrane channel. In case of voltage-dependent anion channel the voltage dependence of the capacitor has a power 0.786. The results have been interpreted in view of the structural organization of the channel protein in the membrane. Our hypothesis is that the phenomenon of capacitor behaviour is a general one for membrane channels.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Cell Membrane / physiology
  • Ion Channel Gating / physiology*
  • Ion Channels / physiology*
  • Lipid Bilayers
  • Mitochondria, Liver / physiology
  • Models, Biological
  • Nonlinear Dynamics*
  • Rats

Substances

  • Ion Channels
  • Lipid Bilayers