SUMMARYAND CONCLUSIONS1. The interaction between inhibitory interneurons and cortical pyramidal neurons was studied by use of computer simulations to test whether inhibitory interneurons could assist in phaselocking postsynaptic cells. Two models were used: a simplified model, which included only 3 membrane channels, and a detailed 1 l-channel model.2. The 1 l-channel model included most of the ion channels known to be present in neocortical pyramidal neurons as well as calcium diffusion and other membrane mechanisms. The kinetics for the channels were obtained from voltage-clamp studies in a variety of preparations. The parameters were then adjusted to produce repetitive bursting similar to that seen in some cortical pyramidal cells entrained during visual stimulation.3. Phase-locking to a train of inhibitory postsynaptic potentials (IPSPs) located on or near the soma was observed in the 3-channel model cell subjected to random synaptic bombardment. In the 1 l-channel model, phase-locking due to multiple IPSPs was compared with phase-locking due to multiple excitatory postsynaptic potentials (EPSPs). Phase-locking began to occur when 20% of the IPSPs (20/ 100) or 40% of the EPSPs (4,000/ 10,000) were synchronized. The exact percentages differed with different 1 i-channel models, but either EPSPs or IPSPs would generally produce entrainment with ~40% synchronization. Thus 40 inhibitory boutons had an effect equivalent to 4,000 excitatory boutons in producing phase-locking.4. Phase-locking with IPSPs in these models was possible because the IPSPs could cause either an increase or a decrease in firing rate over a limited range. The IPSPs served a modulatory role, increasing the rate of firing in some cases and decreasing it in others, depending on the state of the cell.5. We examined frequency entrainment by IPSPs. In the 3-channel model, frequency entrainment of a postsynaptic cell was observed with a rapid train of strong (20-100 nS), brief, compound IPSPs. A 40-Hz compound IPSP train of 60 nS entrained cells having initial firing rates between 32 and 47 Hz. Below this range, cells could be partially entrained. Above the range, entrainment would fail. Frequency entrainment in the 3-channel model generally occurred on the first cycle after onset of the IPSPs.6. Phase-locking and frequency entrainment were less robust in the 1 l-channel model. This was partly because bursts rather than individual spikes were being entrained. A 40.Hz, 90-nS compound IPSP train entrained a model cell upward from 34 Hz. Downward frequency entrainment also occurred. In the 1 l-channel model entrainment usually occurred on the second cycle after onset of the IPSPs.7. Downward frequency entrainment was due to the direct effects of inhibition in delaying firing of the cell.The occurrence of upward frequency entrainment was more surprising and was studied in detail. The upward entrainment observed in the 3-channel model occurred because hyperpolarization turned off a slow potassium channel, making subsequent firing more likely. Accelerati...