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The ion current through individual etched ion tracks (diameter ≈50 nm, length ≈12 µm) in a poly (ethylene terephthalate) membrane is recorded at pH 7 as function of applied voltage (-5V to +5V) across the membrane. With increasing voltage, the ion current changes abruptly from random oscillations to structured fluctuations. The power spectrum and the generalized entropy of the recorded current reminds...
The nonlinear, pseudo-periodic current of potassium ions through a high conductance locust K+ channel (BK channel) has been modelled by a two-parameter logistic map (“crowd model”). Data obtained by the patch clamp for different values of potential difference has been correlated with a mechanism of transport incorporating dynamical structure and morphology of pores in a membrane. The ordering influence...
The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also...
Patch clamp data of PETP track-etched membranes have been analysed by the crowd model based on three i.e. regular, exponential and delayed maps of the logistic family. The same data were worked out for all equations, indicating expressive difference between theoretical predictions of the models with constant coefficients and experimental data. The differences disappeared for suitably chosen time dependent...
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