What is it called when a neuron fires more and more slowly under a constant input, and how is it written as a model? · Lobeworks/17

Spike-frequency adaptation: the intervals stretch, so a cell may go from 200 Hz down through 150, 100 and 60 to 40 Hz with the input unchanged.

What is it called when a neuron fires more and more slowly under a constant input, and how is it written as a model?

Spike-frequency adaptation: the intervals stretch, so a cell may go from 200 Hz down through 150, 100 and 60 to 40 Hz with the input unchanged. In the adaptive exponential integrate-and-fire model it is one variable, an adapting current www, with τw dw/dt=a(V−EL)−w\tau_w,dw/dt = a(V - E_L) - wτw​dw/dt=a(V−EL​)−w between spikes and w←w+bw \leftarrow w + bw←w+b at each spike. Each spike adds a small brake bbb that decays with τw\tau_wτw​; firing fast stacks the brakes faster than they fade.