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. 2015 Jun 11;9:29. doi: 10.3389/fncir.2015.00029

Figure 8.

Figure 8

Universal properties of the stochastic response failures at the intermittent phase. (A) The NRL, L, of a cultured neuron stimulated at 8 (blue), 9 (green), 10 (red), and 12 (cyan) Hz, response failures are denoted below L = 6 ms. A zoom-in of L (right) obtained from the last 35 stimulations, response failures are not shown, with corresponding averaged L over the last 1000 stimulations resulting in 8.905, 9.007, 9.062, 8.964 ms for 8, 9, 10, 12 Hz, respectively (right horizontal bars), indicates LC ~9 ms. (B) The neuron shown in (A) stabilized using the real-time adaptive algorithm (Figure 1B) with LST = 9 ms. Response failures are denoted at L~5 ms. The standard deviation, σ, smoothed using 500 Stimulation sliding window (green). (C) The probability for response failures, Pfail (orange dots) and the corresponding τ (crimson dots) for each stimulation frequency in (A) and 7.7 Hz in (B). The averaged ISI =τ/(1-Pfail) (crimson circles). (D) The probabilities for all possible neuronal responses to four consecutive stimulations (x-axis) for the neuron in (C) stimulated at 12 Hz (orange dots), where 1/0 stand for evoked spike/response failure. These probabilities are compared to the corresponding theoretical probabilities (black triangles) assuming uncorrelated failures with the measured Pfail ~0.4. All measurements were taken at the intermittent phase. (E) The probabilities for the occurrence of segments of m consecutive response failures bounded by evoked spikes, P0(m), measured at the intermittent phase for the neuron in (C) stimulated at 12 Hz (orange dots). The theoretical values, ln(1-Pfail)+m·ln(Pfail) with Pfail = 0.4 (black line), similar to (C). (F) Similar to (E), the probabilities for the occurrence of segments of m consecutive evoked spikes bounded by response failures, P1(m), measured at the intermittent phase for the neuron in (C) stimulated at 9 Hz (orange dots). The theoretical values, ln(Pfail)+m·ln(1-Pfail) with Pfail = 0.15 (black line), similar to (C). All experiments shown in this figure were done on a cultured neuron.