function spikes = lifboltzmanspikes( trials, input, tmaxdt, D, imax, ithresh, slope ) % Generate spike times of a leaky integrate-and-fire neuron % trials: the number of trials to be generated % input: the stimulus either as a single value or as a vector % tmaxdt: in case of a single value stimulus the duration of a trial % in case of a vector as a stimulus the time step % D: the strength of additive white noise % imax: maximum output of boltzman % ithresh: threshold of boltzman input % slope: slope factor of boltzman input tau = 0.01; if nargin < 4 D = 1e0; end if nargin < 5 imax = 20; end if nargin < 6 ithresh = 10; end if nargin < 7 slope = 1; end vreset = 0.0; vthresh = 10.0; dt = 1e-4; if length( input ) == 1 input = input * ones( ceil( tmaxdt/dt ), 1 ); else dt = tmaxdt; end inb = imax./(1.0+exp(-slope.*(input - ithresh))); spikes = cell( trials, 1 ); for k=1:trials times = []; j = 1; v = vreset; noise = sqrt(2.0*D)*randn( length( input ), 1 )/sqrt(dt); for i=1:length( noise ) v = v + ( - v + noise(i) + inb(i))*dt/tau; if v >= vthresh v = vreset; times(j) = i*dt; j = j + 1; end end spikes{k} = times; end end