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Slow neural oscillations are known to depend on regenerative inward currents. The voltage range in which these currents dominate the neuron's activity is typically limited to the negative-slope conductance range of their IV curve. At low voltages, these currents are not active and at high voltages, outward currents and spike-activity dominate. We find that the contribution of such currents to neural oscillations can be approximated by a linear current with negative slope conductance (INL). Here we explore the minimal set of requirements to produce neural oscillations in the presence of INL with the goal of elucidating how other current types shape the properties of oscillations.

Neural oscillations arising from a linear current with negative conductance