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. 2008 Mar 4;1(3):145–160. doi: 10.1007/s11693-008-9012-5

Table 8.

Brusselator model structure for concentration of X obtained from forward selection

Selection order Term index Terms Param’s SSE
1 73 Xt−1Yt−1 0.4519 0.2788
2 75 Xt−1Yt−3 0.1368 0.1295
3 439 Xt−3Y2t−1 −0.0669 0.1046
4 79 Xt−2Yt−2 0.0761 0.0978
5 429 Xt−2Y2t−1 0.0847 0.0926
6 425 Xt−2X2t−3 1.4923 0.0864
7 294 B2t−1Xt−2 −0.4418 0.0816
8 11 Yt−2 −0.0073 0.0750
9 419 Xt−1Y2t−3 −0.0093 0.0716
10 43 At−3Yt−1 −0.0142 0.0695
11 147 At−1Bt−3Yt−3 0.0126 0.0666
12 402 X2t−1Yt−1 −0.5576 0.0645

The parameters Pk and model terms Θk are given for the case of no. of training samples = 100. The forward and two-stage methods both selected a different set of terms from the pool of 454 candidates