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EURASIP Journal on Bioinformatics and Systems Biology

Table 5 The Result of Optimization with Minimum Score for Goldbeter Model.

From: A novel cost function to estimate parameters of oscillatory biochemical systems

Parameter

Nominal value

Estimation of the proposed cost function

Estimation of the LS cost function

v s

0.76

0.6980

0.6275

K I

1

0.9996

0.9400

n

4

4.9920

5.7232

v m

0.65

0.5972

0.5559

K m

0.5

0.5056

0.7412

k s

0.38

0.3677

0.3732

v 1

3.2

3.8093

3.1552

K 1

2

2.6488

1.8288

v 2

1.58

3.1221

1.2836

K 2

2

4.4760

1.1952

v 3

5

8.8000

4.5100

K 3

2

4.6696

2.0120

v 4

2.5

5.6410

2.8120

K 4

2

7.0128

3.0704

v d

0.95

0.9713

0.9614

K d

0.2

0.2413

0.2250

k 1

1.9

1.7541

2.1944

  1. The values of kinetic parameters with minimum score derived from optimization using the proposed cost function and the LS cost function for the five-state Goldbeter model. The bold values are the ones that are estimated incorrectly (error more than 10%)
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