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Table 7 The results of parameter optimization for scenario C (estimation of two parameters in a FRAP experiment: D f - K a * MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGlbWsdaqhaaWcbaGaemyyaegabaGaeiOkaOcaaaaa@301F@ ).

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

Estimate D f 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

50

3

0.1108

3.8162 (6.9081)

4.1352 (7.2953)

0.1108

0.0042 (0.0104)

0.9997 (0.9983)

3

50

0.1108

47.7952 (35.6424)

47.5709 (35.8541)

0.1108

0.0003 (0.0102)

1.0000 (0.9984)

20

25

0.1108

25.2109 (25.2109)

25.2769 (25.2769)

0.1108

0.0001 (0.0001)

1.0000 (1.0000)

25

20

0.1108

24.5737 (24.5737)

24.6488 (24.6488)

0.1108

0.0002 (0.0002)

1.0000 (1.0000)

28

35

0.1108

34.8874 (34.8874)

34.8255 (34.8255)

0.1108

0.0001 (0.0001)

1.0000 (1.0000)

0.1

100

0.1108

89.9205 (89.9205)

89.1097 (89.1097)

0.1108

0.0005 (0.0005)

1.0000 (1.0000)

100

0.1

0.1108

8.5511 (8.5511)

8.8336 (8.8336)

0.1108

0.0017 (0.0017)

1.0000 (1.0000)

28

28

0.1108

28.2015 (28.2015)

28.2282 (28.2282)

0.1108

0.0001 (0.0001)

1.0000 (1.0000)

  1. The values in parentheses were obtained using corrupted data.