structured_inhibition_spatial_network_model/scripts/spatial_network/models.py

import brian2 as br
from brian2 import umetre, ufarad, cm, siemens, mV, msiemens, nS, ms

# Hodgkin Huxley model from Brian2 documentation

# The model

area = 20000 * umetre ** 2
hodgkin_huxley_params = {
    "Cm": 1 * ufarad * cm ** -2 * area,
    "gl": 5e-5 * siemens * cm ** -2 * area,
    "El": -65 * mV,
    "EK": -90 * mV,
    "ENa": 50 * mV,
    "g_na": 100 * msiemens * cm ** -2 * area,
    "g_kd": 30 * msiemens * cm ** -2 * area,
    "VT": -63 * mV,
    "E_i": -80 * mV
}

hodgkin_huxley_eqs_with_synaptic_conductance = br.Equations('''
dv/dt = (gl*(El-v) - g_na*(m*m*m)*h*(v-ENa) - g_kd*(n*n*n*n)*(v-EK) + I - g_syn*(v-E_i))/Cm : volt
dm/dt = 0.32*(mV**-1)*(13.*mV-v+VT)/
    (exp((13.*mV-v+VT)/(4.*mV))-1.)/ms*(1-m)-0.28*(mV**-1)*(v-VT-40.*mV)/
    (exp((v-VT-40.*mV)/(5.*mV))-1.)/ms*m : 1
dn/dt = 0.032*(mV**-1)*(15.*mV-v+VT)/
    (exp((15.*mV-v+VT)/(5.*mV))-1.)/ms*(1.-n)-.5*exp((10.*mV-v+VT)/(40.*mV))/ms*n : 1
dh/dt = 0.128*exp((17.*mV-v+VT)/(18.*mV))/ms*(1.-h)-4./(1+exp((40.*mV-v+VT)/(5.*mV)))/ms*h : 1
I : amp
g_syn: siemens
''')


lif_interneuron_eqs = """
dv/dt =1.0/tau* (-v + u_ext) :volt (unless refractory)
u_ext : volt
tau : second
"""

lif_interneuron_params = {
    "v_threshold": -40 * mV,
    "v_reset": -60 * mV,
    "tau_refractory": 0.0 * ms,
    "u_ext_const": -50 * mV
}

lif_interneuron_options = {
    "threshold": "v>v_threshold",
    "reset": "v=v_reset",
    "refractory": "tau_refractory",
    'method': 'euler'
}

delta_synapse_model = 'synaptic_strength: volt'
delta_synapse_on_pre = 'v+=synaptic_strength'
delta_synapse_param = {}

exponential_synapse = """
dg/dt = -g/tau_syn : siemens (clock-driven)
g_syn_post = g :siemens (summed)
synaptic_strength : siemens
"""
exponential_synapse_on_pre = "g+=synaptic_strength"
exponential_synapse_params = {
    "tau_syn": 2 * ms
}