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Table 7 Best estimated values of the model parameters obtained from artificial data with 20% noise.

From: Parameter estimation with bio-inspired meta-heuristic optimization: modeling the dynamics of endocytosis

  

CO

TO

c

c*

DASA

PSO

DE

A717

DASA

PSO

DE

A717

c 1

1

4.0000

1.4644

0.2226

1.6393

3.1593

1.5627

1.8293

0.2974

c 2

0.3

3.7099

2.0786

1.1132

2.5748

3.7499

2.7324

4

2.5086

c 3

0.1

0.1977

1.2612

0.1974

0.0229

3.3526

0.2064

0.2682

0.5823

c 4

2.5

3.5412

0.4192

3.1208

3.3226

0.2007

1.5837

3.7871

0.1709

c 5

1

3.9940

1.4613

0.2217

1.5411

3.1287

1.4623

1.7688

0.5845

c 6

0.483

0.5165

3.0640

3.6860

1.3897

0.4074

1.8952

0.4713

1.9140

c 7

0.21

3.9471

2.6526

0.1503

1.5383

1.7030

2.9345

3.4951

2.0874

c 8

3

3.1843

1.5314

3.4591

1.6254

1.5254

1.6742

3.1784

3.5895

c 9

0.1

0.1563

1.5057

0.0524

3.1257

1.6444

1.5321

0.9762

1.9652

c 10

0.021

2.0757

1.8316

0.0645

2.4551

0.2091

2.1490

1.4581

1.1780

c 11

1

1.8340

2.9039

2.2013

2.3769

2.5222

3.2725

1.9195

2.6830

c 12

3

3.1572

2.2358

1.7009

2.8349

1.2553

1.5096

0.1557

1.2227

c 13

0.31

4.0000

1.7187

0.9381

0.6126

4.0000

2.9568

3.4364

3.2812

c 14

0.3

1.0661

1.3179

0.3833

2.2955

1.7539

1.1975

0.8110

2.4085

c 15

3

2.3525

1.7764

3.9800

3.6281

2.1599

2.1684

3.5535

3.3994

c 16

0.483

0.5178

3.0728

3.6981

1.2091

0.4224

2.0041

0.7261

2.7693

c 17

0.06

1.8635

0.4696

0.4159

2.0548

0.8316

1.3081

1.7687

0.2836

c 18

0.15

2.7213

1.0043

0.1087

0.4984

0.5992

1.0744

1.3643

0.6677

r5(0)

1.0

0.8750

0.9116

0.9122

0.9535

0.9957

0.4830

0.9239

1.4011

R5(0)

0.001

4.0E-07

0.0358

0.1194

1.0854

3.3E-07

0.2313

0

1.3742

r7(0)

1.0

0.8096

1.3352

0.7978

0.1557

1.0153

0.4473

0.7310

1.0320

R7(0)

0.001

1.2E-10

0.2444

3.4E-04

0.8451

0.0139

0.1696

0.2515

0.9143

  1. Best parameters' values as estimated by the four optimization methods from artificial data with 20% relative noise in the CO and TO observation scenarios.