Hi everybody , i try to model three neuroun Izhekivch with two astrosyte ,but i don’t know how model the synaps_eqs in brian2 please help me and here is my equations but i don’t know is true or not : #neurone_astrocyte interaction model :
du_s/dt= (-u_s + tau_f u_0 (1-u_s))/tau_f : 1 #directly and synaptically :
dx_s/dt=(1-x-s-tau_dr_s ) /tau_d : 1 #indirectly and extra_synaptically:
dy_s/dt = (-y_s + tau_c * y_T 0.003 r_s) /tau_c : 1

So here’s an implementation for a single Izhikevich neuron (without synapses):

a = 0.02
b = 0.02
I = 0.0 # change this to increase the injected current
izhikevich_eqs = '''
dvm/dt = 0.04*vm**2 + 5*vm + 140 - u + I : 1
du/dt = a*(b*vm - u) : 1
'''

or the same version with units:

a = 0.02/ms
b = 0.2/ms
I = 0.0*volt/second
izhikevich_eqs = '''dvm/dt = (0.04/ms/mV)*vm**2+(5/ms)*vm+140*mV/ms-w + I : volt
du/dt = a*(b*vm-u) : volt/second
I : volt/second'''

I’m happy to help, but I’d prefer to discuss here on the forum so others can help too, and so other people with the same question can see the solution.

i’ve reformatted the code you wrote so it’s easier for others to see here:
( you can get the same formatting on this forum by putting ``` before and after your code )

Next I think it would be good to know a little more about the rest of your code (what variable names are you using for each neuron etc.) and what is and isn’t working.