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Add the parameter R to the LIF model #224

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May 23, 2022
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Add the parameter R to the LIF model #224

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8 changes: 6 additions & 2 deletions brainpy/dyn/neurons/reduced_models.py
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Original file line number Diff line number Diff line change
Expand Up @@ -31,7 +31,7 @@ class LIF(NeuGroup):

.. math::

\tau \frac{dV}{dt} = - (V(t) - V_{rest}) + I(t) \\
\tau \frac{dV}{dt} = - (V(t) - V_{rest}) + RI(t) \\
\text{after} \quad V(t) \gt V_{th}, V(t) = V_{reset} \quad
\text{last} \quad \tau_{ref} \quad \text{ms}

Expand All @@ -56,6 +56,8 @@ class LIF(NeuGroup):
Reset potential after spike.
V_th: float, JaxArray, ndarray, Initializer, callable
Threshold potential of spike.
R: float, JaxArray, ndarray, Initializer, callable
Membrane resistance.
tau: float, JaxArray, ndarray, Initializer, callable
Membrane time constant.
tau_ref: float, JaxArray, ndarray, Initializer, callable
Expand Down Expand Up @@ -84,6 +86,7 @@ def __init__(
V_rest: Union[float, Tensor, Initializer, Callable] = 0.,
V_reset: Union[float, Tensor, Initializer, Callable] = -5.,
V_th: Union[float, Tensor, Initializer, Callable] = 20.,
R: Union[float, Tensor, Initializer, Callable] = 1.,
tau: Union[float, Tensor, Initializer, Callable] = 10.,
tau_ref: Union[float, Tensor, Initializer, Callable] = 1.,
V_initializer: Union[Initializer, Callable, Tensor] = ZeroInit(),
Expand All @@ -103,6 +106,7 @@ def __init__(
self.V_rest = init_param(V_rest, size, allow_none=False)
self.V_reset = init_param(V_reset, size, allow_none=False)
self.V_th = init_param(V_th, size, allow_none=False)
self.R = init_param(R, size, allow_none=False)
self.tau = init_param(tau, size, allow_none=False)
self.tau_ref = init_param(tau_ref, size, allow_none=False)
if noise_type not in ['func', 'value']:
Expand All @@ -121,7 +125,7 @@ def __init__(
self.refractory = bm.Variable(bm.zeros(size, dtype=bool))

# integral
f = lambda V, t, I_ext: (-V + self.V_rest + I_ext) / self.tau
f = lambda V, t, I_ext: (-V + self.V_rest + self.R * I_ext) / self.tau
if self.noise is not None:
g = noise if (noise_type == 'func') else (lambda V, t, I_ext: self.noise / bm.sqrt(self.tau))
self.integral = sdeint(method=method, f=f, g=g)
Expand Down