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 /α _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.