Figure 2
From: Global parameter search reveals design principles of the mammalian circadian clock
Neurotransmitter can drive oscillations at the single neuron level. A. Simulation of one circadian oscillator using optimal parameter set v1 = 6.8355 nM/h; K1 = 2.7266 nM; n = 5.6645; v2 = 8.4297 nM/h; K2 = 0.2910 nM; k3 = 0.1177/h; v4 = 1.0841 nM/h; K4 = 8.1343 nM; k5 = 0.3352/h; v6 = 4.6645 nM/h; K6 = 9.9849 nM; k7 = 0.2282/h; v8 = 3.5216 nM/h; K8 = 7.4519 nM; vc = 6.7924 nM/h; Kc = 4.8283 nM; K = 1; and L = 0. Concentrations are expressed in nM. B. Simulation of 200 circadian oscillators using the optimal parameter set. Oscillations of Xi (in nM) for 5 randomly chosen oscillators. Different individual periods were obtained by rescaling rate constants by a scaling factor τi, i = 1, ..., N. The values of τi are drawn randomly from a normal distribution of mean 1.0 and standard deviation 0.05. C. Oscillation of the mean field of the neurotransmitter (F). D. Simulation of 200 circadian oscillators with highly variable periods using optimal parameter set. The simulation was carried out as in B but with a standard deviation of 0.25 for the periods. E. Simulation of one circadian oscillator using the optimal parameter set. Parameters same as in 1A) except coupling strength constant, K, reduced to 0.8. F. Simulation of one circadian oscillator using the optimal parameter set. Parameters same as in 1A) except coupling strength constant, K, reduced to 0.