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Table 2 Achievable output differences for different input profiles.

From: Discriminating between rival biochemical network models: three approaches to optimal experiment design

||u||2 = 1 (A, I, R*) I R*
Sine 0.472 0.472 0.0195
Sine w. exp. mult. 0.475 0.474 0.0209
Cosine or (10) 0.473 0.472 0.0200
Square wave 0.451 0.450 0.0182
Sinc 0.412 0.412 0.0153
Constant 0.198 0.197 0.0070
|| u || 2 = 0.01 ( A , I , R *) I R *
Sine 0.476 0.481 0.0203
Sine w. exp. mult. 0.467 0.467 0.0195
Cosine or (10) 0.457 0.456 0.0191
Square wave 0.441 0.441 0.0184
Sinc 0.396 0.396 0.0173
Constant 0.198 0.198 0.0085
  1. Numerical estimates of max u ||y1 - y2||2/||u||2 with different inputs for the Dictyostelium models by simulating the nonlinear system. Here maximization is over different frequencies for inputs where frequency makes sense. Output is either all states or I or R*.