Stochastic resonance in ion channels characterized by information theory.

  title={Stochastic resonance in ion channels characterized by information theory.},
  author={Igor Goychuk and Peter H{\"a}nggi},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={61 4 Pt B},
  • I. GoychukP. Hänggi
  • Published 22 October 1999
  • Computer Science
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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 two-state 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 tau information, the mutual… 

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Nature (London) 378

  • 362
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  • Rev. Lett. 21,4458. (1996); H. Salman and E. Braun, Phys. Rev. E 56, 852
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