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Table 1 Estimated results for Case I

From: Estimating parameters for generalized mass action models with connectivity information

Parameter

Estimation without constraints

Estimation with constraints (noise-free)

Estimation with constraints (5% noise)

α 1

4.67E-05

2.42E-04

3.43E-6

α 2

3.452

0.079

0.436

α 3

3.359

0.733

2.227

α 4

1.828

3.660

1.961

α 5

0.359

0.434

4.955

g 1,1

-0.772

-0.763

-1.437

g 1,5

1.710

0.597

1.896

g 1,6

-1.110

-0.113

-0.665

g 1,9

1.241

0.927

0.868

g 1,10

-0.328

-0.005

-0.757

g 2,1

0.948

0.857

1.59

g 2,2

-0.467

-1.308

-1.996

g 2,7

0.963

0.783

0.407

g 2,8

-1.002

-0.972

-1.26

g 2,11

-0.682

-0.712

-1.235

g 3,2

1.121

0.702

0.987

g 3,3

-0.002

-0.008

-0.012

g 3,7

0.263

0.171

0.515

g 3,8

-0.044

-0.153

-0.850

g 3,9

-0.185

0.106

-0.384

g 3,10

-0.307

-0.607

-0.835

g 4,3

0.871

0.900

1.118

g 4,5

-0.347

-0.586

0.754

g 4,10

-0.819

-1.382

-1.524

g 5,4

0.745

0.859

1.392