Interspike interval statistics in the Ornstein–Uhlenbeck neuronal model with signal-dependent noise

The stochastic leaky integrate-and-fire (LIF) continuous model is studied under the condition that the amplitude of noise is a function of the input signal. The coefficient of variation (CV) of interspike intervals (ISIs) is investigated for different types of dependencies between the noise and the signal. Finally, we present the CV and the ISI density resulting from the special choice of parameters of the input that gave rise to a contra-intuitive behavior of the transfer function in Lánský and Sacerdote [Phys. Lett. A 285 (2001) 132].