Stochastic resonance in ion channels characterized by information theory
Abstract
We identify a unifying measure for stochastic resonance (SR) in voltage dependent ion channels which comprises periodic (conventional), aperiodic, and nonstationary SR. Within a simplest setting, the gating dynamics is governed by twostate conductance fluctuations, which switch at random time points between two values. The corresponding continuous time point process is analyzed by virtue of information theory. In pursuing this goal we evaluate for our dynamics the τ information, the mutual information, and the rate of information gain. As a main result we find an analytical formula for the rate of information gain that solely involves the probability of the two channel states and their noise averaged rates. For small voltage signals it simplifies to a handy expression. Our findings are applied to study SR in a potassium channel. We find that SR occurs only when the closed state is predominantly dwelled upon. Upon increasing the probability for the open channel state the application of an extra dose of noise monotonically deteriorates the rate of information gain, i.e., no SR behavior occurs.
 Publication:

Physical Review E
 Pub Date:
 April 2000
 DOI:
 10.1103/PhysRevE.61.4272
 arXiv:
 arXiv:condmat/9910354
 Bibcode:
 2000PhRvE..61.4272G
 Keywords:

 87.16.b;
 87.10.+e;
 05.40.a;
 02.50.Wp;
 Subcellular structure and processes;
 General theory and mathematical aspects;
 Fluctuation phenomena random processes noise and Brownian motion;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter;
 Physics  Biological Physics;
 Physics  Data Analysis;
 Statistics and Probability
 EPrint:
 10 pages, 2 figures, to appear in Phys. Rev. E