Figure 10

An abstract mathematical model that reproduces the behavior of the SI cell. (a) The red lines mark multiples of \(T_{1}=25\) ms (frequency 40 Hz), while green lines mark multiples of \(T_{2}=61.14\) ms (16.357 Hz). At each red line we say that the hypothetical cell fires (and draw a blue line) if it did not fire on the previous red line and the time elapsed from the last green line is at least \(c=17\) ms. Such a system by construction satisfies conditions 1–3 and 7 of Sect. 3.5. It turns out that it also satisfies properties 4–6, as shown here and in (b). (b) Probability of the cell firing immediately after an input-1 pulse, as a function of the input-2 phase (time from last input-2 pulse). As in Figs. 7(a) and 9(c), the cell fires immediately after an input-1 pulse, if and only if the time since the last input-2 pulse lies in an interval of length 25 ms. (c) Firing rate of the cell as a function of the input-2 frequency. As in Figs. 6 and 9(d), the cell’s frequency follows that of input-2, for a range of frequencies. Dashed line in (c): diagonal