Jansen and Rit model in Brian2

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Well it took almost no time to implement equation (6), a single column model, from Jansen and Rit 1995

from matplotlib.pyplot import *
from brian2 import *

defaultclock.dt = 1.*ms

a,b = 100, 50
e0  = 2.5
v0  = 6
r    = 0.56
A,B,C = 3.25, 22., 135

P = 120


equs = """
dy1/dt = y4/second : 1
dy4/dt = a*(A*(p+{C2}*Se)-2*y4 -y1*a)/second : 1
dy0/dt = y3/second : 1
dy3/dt = a*(A        *Sp -2*y3 -y0*a)/second : 1
dy2/dt = y5/second : 1
dy5/dt = b*(B   *{C4}*Si -2*y5 -y2*b)/second : 1

p  = P*int(t>1*second)*int(t<2*second) : 1
Se = 2*e0/(1+exp(r*(v0 - {C1}*y0   ))) : 1
Sp = 2*e0/(1+exp(r*(v0 - (y1-y2)   ))) : 1
Si = 2*e0/(1+exp(r*(v0 - {C3}*y0   ))) : 1
""".format(
    C1 = C,
    C2 = 0.8 *C,
    C3 = 0.25*C,
    C4 = 0.25*C
)

n = NeuronGroup(1,equs,method='euler')

sm = StateMonitor(n,['y4','y1','y3','y0','y5','y2'],record=True)

run(3*second,report='text')

plot(sm.t/second, sm[0].y1)
plot(sm.t/second, sm[0].y0)
plot(sm.t/second, sm[0].y2)

show()
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