Circuit model responses to slow (spontaneous-like) and rapid (sensory-like) inputs. A, Transient and sinusoidal inputs used in these simulations. The two ensembles received identical sinusoidal inputs and proportional transient inputs (see Materials and Methods). Each trial began with a different phase of the sinusoidal input. B, C, Examples of average ensemble activities ([S1 + S2]/2) overlaid from four different trials. Notice that the responses of the model in C appear to have higher TbT reliability, reduced slow (>100 ms) dynamics, and greater resemblance to the transient inputs. D–H, Quantification of input–output response reliability (D, E), temporal precision (F, G), and response amplitude (H) from models with varying Js and Jo. Highest reliability (TbT r and I-O amp) and most rapid dynamics (I–O tau and T50) are observed in models with low self-excitation and high cross-inhibition.