nnmt.lif.delta._firing_rates_for_given_input

nnmt.lif.delta._firing_rates_for_given_input(mu, sigma, V_0_rel, V_th_rel, tau_m, tau_r)

Calculates stationary firing rate for delta shaped PSCs.

Implementation of formula by Siegert for the mean-first-passage time [Siegert, 1951], found for example in Appendix A, Eq. A7 of Amit and Brunel [1997].

The implementation is explained in Layer et al. [2022], Appendix A.1.

And alternative but less stable way of implementing the Siegert function can be found in Hahne et al. [2017], Appendix A.1.

Parameters:

mu[float | 1d array]

Mean input to population of neurons.

sigma[float | 1d array]

Standard deviation of input to population of neurons.

V_0_rel[float | 1d array]

Relative reset potential in V.

V_th_rel[float | 1d array]

Relative threshold potential in V.

tau_m[float | 1d array]

Membrane time constant of post-synatic neuron in s.

tau_r[float | 1d array]

Refractory time in s.

Returns:

[float | np.array]

Firing rates in Hz.