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Table 3 The estimated parameters of two simulations for SA algorithm

From: A modified particle swarm optimization algorithm for parameter estimation of a biological system

True parameters

α i

g i1

g i2

g i3

g i4

β i

h i1

h i2

h i3

h i4

RMSE

SA noise free measurement

0.7471

x 1

21.6611

0

0

−0.1552

0

10.65

1.1561

0

0

0

x 2

8.6545

1.1575

0

0

0

3.629

0

1.4052

0

0

x 3

3.6379

0

1.4034

0

0

3.6475

0

0

1.1439

0.8504

x 4

1.6503

1.1432

0

0

0

6.6653

0

0

0

1.4568

SA noisy measurement with SNR 20

0.9762

x 1

18.8551

0

0

0.05911

0

9.8271

1.3714

0

0

0

x 2

8.8778

1.3444

0

0

0

4.8634

0

1.5988

0

0

x 3

3.8245

0

1.6078

0

0

5.8395

0

0

1.3836

1.0416

x 4

2.8509

1.3273

0

0

0

6.8551

0

0

0

1.6388