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Table 4 The results of parameter optimization for scenario B (estimation of dissociation rate coefficient in a FRAP experiment).

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

Estimate K d

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

30

30

0.0008

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

300

0.8000

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

30

0.0001

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

30

1.0000

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

30

0.0500

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

30

0.0010

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

30

30

1 × 10-5

30

30

0.1108 (0.1108)

0.0000 (0.0102)

1.000 (0.998)

30

30

1 × 10-6

30

30

0.1108 (0.1107)

0.0000 (0.0102)

1.000 (0.998)

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

ISSN: 1742-4682