that produces bursts dependent on two additional variables analog to the implementation of dynamical synapses: see Kaske&Bertschinger "Traveling wave patterns..."
A nonstandard leaky-integrate-and-fire 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. Vreset is modulated by u and r to produce spiking dependent on the previous spike pattern At time t=0V_{m} ist set toV_{init} . If V_{m} exceeds the threshold voltageV_{thresh} it is reset to V_{reset} and hold there for the length T_{refract} of the absolute refractory period.