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Table 2 The results of parameter optimization for scenario B (estimation of molecular diffusion coefficient in a FRAP experiment).

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

Estimate D f

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

3

30

0.1108

29.9975 (29.8032)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

5

30

0.1108

29.9968 (29.7362)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

10

30

0.1108

29.9968 (29.7978)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

15

30

0.1108

29.9959 (29.7483)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

20

30

0.1108

29.9972 (29.7490)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

45

30

0.1108

29.9974 (29.7376)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

1000

30

0.1108

29.9973 (29.7507)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

500

30

0.1108

29.9969 (29.7910)

30

0.1108

0.00 (0.01)

1.0000 (0.9984)

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

ISSN: 1742-4682