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Table 1 Relative bias of model parameters using non linear mixed models taking into account left-censored (undetectable) values (corrected) or not (crude) with simulated data. N = 20 patients, 1000 simulations, 14% left-censored measures in average.

From: Estimation of dynamical model parameters taking into account undetectable marker values

Parameter and true value

Crude estimate

Corrected estimate

  

Estimates

Relative bias (%)

Estimates

Relative bias (%)

Fixed effects

V 0

6.16 log10 IU/mL

6.09

-1.1

6.16

-0.021

δ

0.40 day-1

0.18

-55.2

0.40

+0.78

c

2.00 day-1

1.10

-44.8

2.03

+1.5

ε

0.80

0.93

+15.8

0.79

-1.3

Variances

σ γ 0 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGae83SdC2aaSbaaWqaaiabicdaWaqabaaaleaacqaIYaGmaaaaaa@325D@

0.49

0.59

+20.3

0.46

-6.4

σ γ 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGae83SdC2aaSbaaWqaaiabigdaXaqabaaaleaacqaIYaGmaaaaaa@325F@

2.69

2.18

-18.8

2.31

-13.9

σ e 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyzaugabaGaeGOmaidaaaaa@30E8@

0.04

0.09

+133.2

0.039

-2.4