Synchronization-Induced Rhythmicity of Circadian Oscillators in the Suprachiasmatic Nucleus
Figure 6
Effect of the Intrinsic Period on Amplitude and Phase
(A) Resulting periods of two mixed populations of oscillators, one with a 24 h period and one with 20 h period (type 1 coupling; c0 = 0.1). The period was calculated with proportions of 24 h period cells of 0.0, 0.1, 0.2, 0.5, 0.8, and 1.0, and results of five runs for each proportion were averaged (total n = 100, [open circles] average period). The dashed line represents the average of the individual oscillators' periods.
(B) Deviation of the resulting population periods shown in (A) from the average of the individual oscillator periods (the error bars are the standard deviations).
(C) Three coupled oscillators with different intrinsic periods showing their phase and amplitude relationships: the short period oscillator (thick blue line) is phase-advanced and low amplitude compared with the average period oscillator (green line) and the long period oscillator (dashed red line).
(D) Phase difference from the average Per/Cry mRNA concentration with respect to the intrinsic periods, from the simulations shown in Figure 3A and 3B (dark blue ×, left VL neurons; light blue, left DM neurons; dark red ×, right VL neurons; light red, right DM neurons). A positive phase difference means phase-advanced compared with the phase of the population.
(E) Amplitude with respect to the intrinsic period from the simulations shown in Figure 3A and 3B (color code as in [D]).
(F) Amplitude phase relationship for type 1 coupling (K = 0.9, c0 = 0.1, number of oscillators n = 100).