Neuron model with relative refractory mechanism.

<p>The figure shows the transition operator , refractory functions and activation functions for the neuron model with relative refractory mechanism. (A) Transition probabilities of the internal variable given by . (B) Three examples of possible refractory functions . They assume value when the neuron cannot spike, and return to value (full readiness to fire again) with different time courses. The value of at intermediate time points regulates the current probability of firing of neuron (see A). The x-axis is equivalent to the number of time steps since last spike (running from 0 to from left to right). (C) Associated activation functions according to (11). (D) Spike trains produced by the resulting three different neuron models with (hypothetical) membrane potentials that jump at time from a constant low value to a constant high value. Black horizontal bars indicate spikes, and the active states are indicated by gray shaded areas of duration after each spike. It can be seen from this example that different refractory mechanisms give rise to different spiking dynamics.