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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*.
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BMC Systems Biology

ISSN: 1752-0509

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