Perfect Integrate and Fire (IF) model with noisy adaptation or fractional noise This code is companion to the manuscript "An integrate-and-fire model to generate spike trains with long-range dependence", by authors Alexandre Richard, Patricio Orio and Etienne Tanré When run, this script will generate 5 plots with different simulation conditions: 1) Noise in voltage (V) 2) Noise in the adaptation (Z) 3) Noise in both 4) Noise in adaptation with larger time constant 5) Fractional Noise with alpha=0.7 Plots will contain 9 panels (from top to bottom, then left to right): 1) Short time course of both variables (V,Z) 2) Long (500s) inter-spike interval (ISI) plot 3) Windowed Kolmogorov-Smirnoff test, to visually show stationarity of ISIs 4) R/S (rescaled range) plot for the whole ISI sequence. Red line is the fit of all points to a power law (straight line in loglog). The slope (H), r value and p-value of the fit are indicated. Colored lines are fits of small sets of points, in a moving window fashion. 5) Plot of the moving slopes (colored lines in above plot) against the length of the sequence. Red line and blue shadow indicate the mean and 2*SD obtained with 100x surrogate data 6) Autocorrelation plot of the ISI sequence, in log-linear scale 7) Detrended fluctuation analysis (DFA) plot. Red and colored lines are the same as in plot 4 8) Similar to plot 5, but with the DFA 9) Autocorrelation plot of the ISI sequence, in log-log scale