# -*- coding: utf-8 -*- """ Copyright © 2014 German Neuroinformatics Node (G-Node) All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted under the terms of the BSD License. See LICENSE file in the root of the Project. Author: Jan Grewe """ import numpy as np class lif: def __init__(self, stepsize=0.0001, offset=1.6, tau_m=0.025, tau_a=0.02, da=0.0, D=3.5): self.stepsize = stepsize # simulation stepsize [s] self.offset = offset # offset curent [nA] self.tau_m = tau_m # membrane time_constant [s] self.tau_a = tau_a # adaptation time_constant [s] self.da = da # increment in adaptation current [nA] self.D = D # noise intensity self.v_threshold = 1.0 # spiking threshold self.v_reset = 0.0 # reset voltage after spiking self.i_a = 0.0 # current adaptation current self.v = self.v_reset # current membrane voltage self.t = 0.0 # current time [s] self.membrane_voltage = [] self.spike_times = [] def _reset(self): self.i_a = 0.0 self.v = self.v_reset self.t = 0.0 self.membrane_voltage = [] self.spike_times = [] def _lif(self, stimulus, noise): """ euler solution of the membrane equation with adaptation current and noise """ self.i_a -= self.i_a - self.stepsize/self.tau_a * (self.i_a) self.v += self.stepsize * ( -self.v + stimulus + noise + self.offset - self.i_a)/self.tau_m; self.membrane_voltage.append(self.v) def _next(self, stimulus): """ working horse which delegates to the euler and gets the spike times """ noise = self.D * (float(np.random.randn() % 10000) - 5000.0)/10000 self._lif(stimulus, noise) self.t += self.stepsize if self.v > self.v_threshold and len(self.membrane_voltage) > 1: self.v = self.v_reset self.membrane_voltage[len(self.membrane_voltage)-1] = 2.0 self.spike_times.append(self.t) self.i_a += self.da; def run_const_stim(self, steps, stimulus): """ lif simulation with constant stimulus. """ self._reset() for i in range(steps): self._next(stimulus); time = np.arange(len(self.membrane_voltage))*self.stepsize return time, np.array(self.membrane_voltage), np.array(self.spike_times) def run_stimulus(self, stimulus): """ lif simulation with a predefined stimulus trace. """ self._reset() for s in stimulus: self._next(s); time = np.arange(len(self.membrane_voltage))*self.stepsize return time, np.array(self.membrane_voltage), np.array(self.spike_times) def __str__(self): out = '\n'.join(["stepsize: \t" + str(self.stepsize), "offset:\t\t" + str(self.offset), "tau_m:\t\t" + str(self.tau_m), "tau_a:\t\t" + str(self.tau_a), "da:\t\t" + str(self.da), "D:\t\t" + str(self.D), "v_threshold:\t" + str(self.v_threshold), "v_reset:\t" + str(self.v_reset)]) return out def __repr__(self): return self.__str__()