[NEST Users] Network simulation of Hanuschkin (2010) - precise spike times

Hello, I am trying to simulate the network of a model with precise spike times as in Hanuschkin (2010), which is based on the balanced random network of Brunel (2000). As far as I understand the model of Hanuschkin exists already in NEST here: https://nest-simulator.readthedocs.io/en/v3.5/models/iaf_psc_exp_ps.html . However, I haven't found an example of the network simulation. I have tried using the Brunel network (https://nest-simulator.readthedocs.io/en/stable/auto_examples/brunel_delta_…) with the iaf_psc_exp_ps model, but I got a firing rate (excitatory or inhibitory) of 0 Hz. I would appreciate any advice on that! Thanks in advance, Jenny