Biexponential synapce eqation

[Ziaeemehr]

Hi,
Did you see this? It may help.

Biexponential synapse

I am trying to implement a Biexponential shape conductance base synapse: I_{syn} = g_{syn} (V-V_{ref})\sum_j s_j \\ \dot{s_j} = \alpha H_{\infty}(v_j-\theta) (1-s) - \beta s\\ H_{\infty} = \frac{1}{1+\exp(-(v-\theta^H)/\sigma^H)} \theta, \theta_H and \sigma are constants. Adding H_{\infty} is the question. Following the documentation I came up to this : I skipped the H_{\infty} for now: I think this should be : g_{syn}(t) = g_{peak} \frac{e^{-t/\tau_1}-e^{-t/\tau_2}}{e^{-t_{peak}/\tau…

I also recommend chapter 20 of Modeling neural dynamics, Borgers
this is a python implementation and also Brain.