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Table 8 The results of parameter optimization for scenario D (estimation of three parameters for noise-free FRAP data).

From: Identification of biomolecule mass transport and binding rate parameters in living cells by inverse modeling

Estimate D f , K d , and K a * MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGlbWsdaqhaaWcbaGaemyyaegabaGaeiOkaOcaaaaa@301F@

Initial guesses

Optimized values

  

D f (μm2 s-1)

K a * MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGlbWsdaqhaaWcbaGaemyyaegabaGaeiOkaOcaaaaa@301F@ (s-1)

K d (s-1)

D f (μm2 s-1)

K a * MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGlbWsdaqhaaWcbaGaemyyaegabaGaeiOkaOcaaaaa@301F@ (s-1)

K d (s-1)

RMSE

R 2

20

43

0.01

41.8564

42.7664

0.1112

0.0002

1.0000

200

43

0.01

170.9403

166.9715

0.1106

0.0006

1.0000

27

28

0.01

27.7434

27.6444

0.1107

0.0001

1.0000

29

29

0.01

29.0008

29.0018

0.1108

0.0000

1.0000

29

29

0.001

21.8680

21.5410

0.1104

0.0002

1.0000

29

290

0.0001

276.5849

287.3558

0.1117

0.0005

1.0000

15

500

0.0001

462.2080

491.3985

0.1121

0.0005

1.0000

15

0.5

0.8

3.65890

3.6106

0.1087

0.0043

0.9997

  1. The values in parentheses were obtained using corrupted data.
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Theoretical Biology and Medical Modelling

ISSN: 1742-4682