# Stochastic resonance in ion channels characterized by information theory.

@article{Goychuk2000StochasticRI, 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}, year={2000}, volume={61 4 Pt B}, pages={ 4272-80 } }

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…

## 121 Citations

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## References

SHOWING 1-10 OF 51 REFERENCES

### The ionic channels in excitable membranes.

- BiologyCiba Foundation symposium
- 1975

Comparisons can now be made between the kinetics of the ionic conductances as described by Hodgkin & Huxley, and the steady-state distribution and kinetic changes of the charged controlling particles, which should lead to useful conclusions about the intramolecular organization of the sodium channels and the conformational changes that take place under the influence of the electric field.

### Spikes: Exploring the Neural Code

- Biology
- 1996

Spikes provides a self-contained review of relevant concepts in information theory and statistical decision theory about the representation of sensory signals in neural spike trains and a quantitative framework is used to pose precise questions about the structure of the neural code.

### Lecture Notes on Physics

- PhysicsNature
- 1879

THE author says in his preface that the book “may be supposed to represent the notes, somewhat expanded, which the teacher would desire the class to take down and learn.” If so, the “notes”before us…

### Single‐Channel Recording

- GeologyCurrent protocols in neuroscience
- 2001

This unit provides detailed descriptions for the steps of patch excision, data acquisition, and data analysis, and elaborates upon the relevant issues discussed in other units from Chapter 3. It…

### Nature (London) 378

- 362
- 1995

### Phys

- Rev. Lett. 21,4458. (1996); H. Salman and E. Braun, Phys. Rev. E 56, 852
- 1997