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Table 1 The true values and mean estimates of population dynamic parameters with 100 replications as well as the corresponding bias, RMSE

From: Nonlinear mixed-effects HIV dynamic models with considering left-censored measurements

  

logc

logδ

logϕ

d c 2

d δ 2

d Ï• 2

σ 2

Case A

        
 

True value

1.1

-1

3

0.25

0.04

0.0625

0.01

 

Mean estimate

0.9

-0.8

3.07

0.13

0.06

0.11

0.05

 

Bias(%)

15.2

23.7

2.4

47.3

46.4

69.5

484

 

RMSE(%)

78

69

4.6

85

198

147

658

Case B

        
 

True value

1.1

-1

3

0.25

0.04

0.0625

0.01

 

Mean estimate

1.9

-0.8

3.6

0.03

0.067

0.669

0.06

 

Bias(%)

71

22

19

90

68

970

490

 

RMSE(%)

141

58

23

105

125

1013

687

Case C

        
 

True value

1.1

-1

3

0.25

0.04

0.0625

0.01

 

Mean estimate

1.2

-1.0

3.02

0.12

0.036

0.048

0.02

 

Bias(%)

9.9

0.2

0.9

53

9.5

23.3

83

 

RMSE(%)

54

5

3

75

39

211

783

  1. In case A, the below detection limit data are hold out before fitting the model; In case B, the below detection limit data are retained but assumed 25 as the true value; In case C, the below detection limit data are considered as censored data and censoring mechanism is introduced by the proposed method.