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Fig. 4 | The Journal of Mathematical Neuroscience

Fig. 4

From: Responses of Leaky Integrate-and-Fire Neurons to a Plurality of Stimuli in Their Receptive Fields

Fig. 4

Solutions of the PDEs and the IEs and example traces. The time-evolving (a) PDF, \(f(x,t)\), and (b) CDF, \(F(x,t)\), from the solutions of the Fokker–Planck equation for the ISI in the left column of Fig. 3. (c) Three example ISIs taken from the left, middle left and middle right columns of Fig. 3. The upper panels show the PDFs with red lines indicating the spike times. The lower panels show the time-evolving voltage PDFs as a heat image together with the realization of the voltage path. The brighter region in the heat image corresponds to larger PDF values. The time when the voltage trace hits the threshold in the heat image corresponds to the spike time shown in the upper panel as a red line. Note that in the upper panel, the time intervals with larger ISI PDF values are where the probability (bright region) flows faster out of the threshold in the lower panel

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