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Bursting in cerebellar stellate cells induced by pharmacological agents: Non-sequential spike adding

Fig 11

A three-dimensional representation of the bifurcation diagram shown in Fig 10 for a whole range of [Ca2+]i (Ca).

The gray surface is the critical manifold with three sheets of equilibria separated by two folds, whereas the green surface is a family of isolated envelopes of periodic orbits (as suggested by Fig 10). The lower/middle sheets of the critical manifold are attracting/repelling, respectively, while the upper sheet is attracting to the left of a curve of Hopf bifurcations (not shown), and repelling to the right. The sheets of unstable periodic orbits emanating from the curve of Hopf bifurcations are not shown. A square-wave bursting trajectory (blue) is superimposed on the bifurcation diagram. The arrows indicate the direction of flow and dark and light shades of blue discern between active and silent phases of the BPO, respectively. The inset shows the time courses of V, hA and Ca corresponding to the square-wave BPO shown in the main panel.

Fig 11

doi: https://doi.org/10.1371/journal.pcbi.1008463.g011