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discrete-event simulation in clinical trials - Institut für Statistik ...

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Realistic <strong>simulation</strong> by means of <strong>discrete</strong> envents<br />

Hospital 1<br />

Pacient<br />

…<br />

Hospital n<br />

Total poblation considered<br />

Eligible for the study<br />

Non eligible for the study<br />

Registered on the study<br />

Reflected for the study<br />

Ramdomized<br />

Study treatment assignation<br />

No randomized<br />

Alternativ assignation treatment<br />

Withdrawn<br />

Drop out<br />

Que<strong>in</strong>g dur<strong>in</strong>g visits<br />

Hospital i<br />

T 1<br />

= W(β=2, λ, γ =0)<br />

0 moths<br />

T 2<br />

= fix<br />

2 months+/- 10 days<br />

+/- 10 days<br />

4 months<br />

+/- 10 days<br />

6 months<br />

+/- 10 days<br />

8 meses<br />

Holydays / weekends<br />

N(0, 10)<br />

+/- 10 days<br />

10 months<br />

Time flow<br />

Y ( u n i d a d e s )<br />

Y (unidades)<br />

Riesgo AA<br />

10,3<br />

10,25<br />

10,2<br />

10,15<br />

16<br />

15<br />

14<br />

13<br />

12<br />

11<br />

10<br />

0 2 4 6 8 10<br />

1,2<br />

1<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

Pacebo (Conceptual)<br />

10,1<br />

0 2 4 6 8 10<br />

Pacebo (Conceptual)<br />

50 mg (Conceptual)<br />

100 mg (Conceptual)<br />

Placebo (Conceptual)<br />

50 mg (Conceptual)<br />

Modelo de enfermedad<br />

Tiempo (meses)<br />

100 mg (Conceptual)<br />

Atribute variation<br />

Modelo de enfermedad<br />

Tiempo (meses)<br />

0<br />

0 5 10 15 20 25<br />

Tiempo (meses)<br />

Dosis de máximo efecto<br />

Dosis óptima<br />

Complete cl<strong>in</strong>ical trial<br />

Models<br />

Simulation:<br />

•Var between-patients,<br />

•Var <strong>in</strong>ter-patient<br />

•Global error<br />

Disease sub-model<br />

Efficacy<br />

submodel<br />

Safety submodel<br />

27

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