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. 2014 May 15;10(5):e1003622. doi: 10.1371/journal.pcbi.1003622

Table 2. Comparison of noise models.

Experiment OU Noise added to PRC Noise added to period
# NB σ,τ (sec) μ/τ SE Ratio NB σ SE Ratio NB σ SE Ratio NB
1 2 (0.435, 588.98) 0.001 0.9939 [0,3] 0.0284 0.9971 [0,0]* 0 .0193 0.9962 [0,0]*
2 3 (0.0671, 285.16) 0.001 0.9910 [0,3] 0.00378 0.9940 [0,0]* 0 .00641 0.994 [0,0]*
3 4 (0.118, 3.5362) 0.1 0.9934 [0,6] 0.00875 0.9992 [0,0]* 0.00879 0.9941 [9], [11]*
4 1 (0.0935, 79.990) 0.01 0.99813 [0,3] 0.00349 0.9958 [0,0]* 0.00545 0.9961 [0,0]*
5 1 (0.0414, 767.9) 0.001 0.9935 [0,3] 0.00127 0.9935 [1], [4] 0.00212 0.9939 [0,0]*
6 3 (0.2155, 48.25) 0.01 0.99809 [0,3] 0.0097 0.9988 [0,3] 0 .01595 0.9946 [0,0]*
7 1 (0.1457, 680.84) 0.001 0.9939 [0,3] 0.00499 0.9916 [0,0]* 0 .00856 0.9976 [0,0]*
8 4 (0.1195,78.368) 0.01 0.9937 [0,6] 0.00695 0.9925 [0,0]* 0.00678 0.9921 [0,4]
9 12 (0.1455,2.4834) 0.01 0.9888 [6], [12] 0.00579 0.9940 [0,0]* 0 .0064 0.9997 [0,0]*
10 2 (0.0738,80.544) 0.01 0.9951 [0,3] 0 .00251 0.9979 [0,0]* 0 .00335 0.9916 [0,0]*
11 1 (0.511, 159.357) 0.01 0.9928 [0,2] 0.01291 0.9928 [0,0]* 0.0194 0.9918 [0,0]*
12 2 (0.0499, 38.058) 0.01 0.9913 [0,5] 0.00244 0.9939 [0,0]* 0.00405 0.9966 [0,0]*
13 1 (0.101, 37.952) 0.01 0.99684 [0,4] 0.00792 0.9948 [0,0]* 0.00737 0.9958 [0,0]*
14 4 (0.0996,3.249) 0.1 0.9895 [3], [6] 0.00481 0.9968 [0,0]* 0.00747 0.9946 [0,5]*
15 3 (0.0743, 40.956) 0.01 0.9969 [1], [5] 0 .00605 0.9929 [0,0]* 0 .00568 0.9921 [0,0]*
16 0 (0.1594,3.78) 0.1 0.9775 [0,6] 0.0112 0.9981 [0,0] 0.0118 0.9941 [0,0]
17 5 (0.0666, 27.389) 0.01 0.9995 [0,9] 0.00378 0.9940 [0,0]* 0.00636 0.9954 [0,0]*
18 5 (0.0591, 27.256) 0.01 0.9744 [2], [8] 0.00383 0.9948 [0,0]* 0.00609 0.9967 [0,0]*
19 2 (0.0453, 83.882) 0.01 0.9958 [0,3] 0.00142 0.9937 [0,0]* 0.00213 0.9979 [0,0]*
20 4 (0.0688,27.520) 0.01 0.9924 [3], [12] 0.0039 0.9905 [0,0]* 0.00637 0.9910 [0,0]*
21 1 (0.232,4.257) 0.1 0.9902 [0,5] 0.0088 0.9918 [0,0]* 0. 01491 0.9940 [0,0]*
22 5 (0.211, 43.97) 0.01 0.9910 [0,6] 0.00953 0.9939 [0,0]* 0.0149 0.9901 [0,0]*
23 1 (0.885,12.629) 0.1 0.9957 [0,2] 0.0231 0.9933 [0,0]* 0.0390 0.9947 [0,0]*
24 0 (0.0965, 3.91) 0.1 0.9966 [0,1] 0.00741 0.9961 [0,0] 0.00698 0.9909 [0,0]
25 0 (0.1986, 8.308) 0.1 0.9936 [0,1] 0.0109 0.9975 [0,0] 0.01 0.9812 [0,0]
26 0 (0.513,4.4478) 0.1 0.9952 [0,4] 0.00364 0.9952 [0,0] 0.00379 0.9947 [0,0]
27 0 (0.075, 2.7246) 0.1 0.9832 [0,1] 0.00418 0.9942 [0,0] 0.00634 0.9905 [0,0]
28 0 (0.1982,8.7519) 0.1 0.9984 [0,2] 0 .00799 0.9925 [0,0] 0 .0118 0.9963 [0,0]
29 0 (0.355, 0.3158) 0.1 0.99068 [0,4] 0 .0191 0.9938 [0,0] 0 .01769 0.9903 [0,0]
30 0 (0.121,42.414) 0.01 0.9954 [0,4] 0 .01315 0.9938 [0,0] 0 .0203 0.9987 [0,0]
31 0 (0.1075, 1.9052) 0.1 0.9908 [0,0] 0 .00626 0.9923 [0,0] 0 .011085 0.9965 [0,0]
32 0 (0.1687, 3.963) 0.1 0.9955 [0,0] 0 .00677 0.9966 [0,0] 0 .0117 0.9937 [0,0]
33 0 (0.2685, 7.9545) 0.01 0.9969 [0,0] 0 .00924 0.9974 [0,0] 0 .0149 0.9920 [0,0]
34 0 (0.1047,80.63) 0.01 0.9996 [0,0] 0.00379 0.9942 [0,0] 0.00532 0.9987 [0,0]
35 0 (0.0987, 3.6964) 0. 1 0. 9967 [0,0] 0.00767 0.9984 [0,0] 0.0075 0.9906 [0,0]

For each experiment number (#), the number of bifurcations (NB) is given under the heading Experiment. For each noise model, including Ornstein Uhlenbeck (OU) and Gaussian noise added to the PRC or period, the model parameters are given under the appropriate headings. For the OU model, the ratio of the mean period to the OU time constant is also given. For each noise model, the squared error (SE) between the simulated PRC and the best fit to the experimental data was calculated, and the ratio of this error to that observed in the experimentally measured PRC was adjusted to be close to one without exceeding one. This ratio is given in the table for each model. Finally, the range of bifurcations observed in simulations of network phase using 10 random seeds is given in brackets. An asterisk beside the bracket indicates model failure, because the simulations failed to bracket the experimentally observed value within the constraints imposed by the noise calibration.