A leaky-integrate-and-fire-or burst neuron model is implemented where the membrane potential V_{m} of a neuron is given by
where
is the membrane time constant, R_{m} is the membrane resistance, I_{syn}(t) is the current supplied by the synapses, I_{inject} is a non-specific background current and I_{noise} is a Gaussion random variable with zero mean and a given variance noise.
At time t=0V_{m} ist set to V_{init} . If V_{m} exceeds the threshold voltage V_{thresh} it is reset to V_{reset} and hold there for the length T_{refract} of the absolute refractory period.