A model of ion channel kinetics using deterministic chaotic rather than stochastic processes.

@article{Liebovitch1991AMO,
  title={A model of ion channel kinetics using deterministic chaotic rather than stochastic processes.},
  author={L S Liebovitch and Tibor Istvan T{\'o}th},
  journal={Journal of theoretical biology},
  year={1991},
  volume={148 2},
  pages={243-67}
}
Models of ion channel kinetics have previously assumed that the switching between the open and closed states is an intrinsically random process. Here, we present an alternative model based on a deterministic process. This model is a piecewise linear iterated map. We calculate the dwell time distributions, autocorrelation function, and power spectrum of this map. We also explore non-linear generalizations of this map. The chaotic nature of our model implies that its long-term behavior mimics the… CONTINUE READING

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