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We find that although the plateau potentials are mediated by a voltage-gated Ca<jats:sup>2+<\/jats:sup>current, they do not depend on the accumulation of cytosolic Ca<jats:sup>2+<\/jats:sup>, then use a computational model to test the hypothesis that the slowly voltage-activated ether-a-go-go\u2013related gene (ERG) potassium current repolarizes the plateaus. The model, which includes a material balance on calcium, is able to reproduce the time course of both membrane potential and somatic calcium concentration, and can also mimic the induction of plateau potentials by the calcium chelator BAPTA. The principle of separation of timescales was used to gain insight into the mechanisms of oscillation and its modulation using nullclines in the phase space. The model predicts that the plateau will be elongated and ultimately result in a persistent depolarization as the ERG current is reduced. 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