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Figure 1 | BMC Neuroscience

Figure 1

From: Geometry and dynamics of activity-dependent homeostatic regulation in neurons

Figure 1

Activity-dependent homeostatic regulation in the ML model. Regulated conductances g Ca and g K are constrained to a line with the slope -α K Ca . (A) (g Ca (t), g K (t)) for different initial values ofg Ca and g K (triangle, square and circle), and values of α Ca and α K during regulation. <I Ca > is color coded. When α K = α Ca the regulation returns the system to an oscillatory regime with the target value <I Ca >* = -0.25 for all initial values of g Ca and g K above the dashed line. (B) α K = α Ca = 0.005. (Inset) membrane potential near the transition to oscillations through a supercritical Andronov-Hopf bifurcation. (C) α Ca = 0.005, α K = 0.01. (Inset) membrane potential near the transition to oscillations through a subcritical Andronov-Hopf bifurcation. (D) α K = α Ca = 0.005. The regulation does not restore oscillations though the target <I Ca >* = -0.25 is achieved.

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