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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.