
Optimal Design 205
TABLE 6.1: Number of observables, number of time points, observables
selected by D-, E-, or SE-optimal cost functional, and the minimum and
maximum standard error and associated parameter for the parameter subset
in the HIV model (6.19).
K N Observables min(ASE) max(ASE)
D-optimal cost
1 51 T
1
+ T
∗
1
ASE(λ
1
) = 0.18 ASE(b
E
) = 6.35
2 51 T
1
+ T
∗
1
, T
2
+ T
∗
2
ASE(λ
1
) = 0.095 ASE(V
0
) = 2.31
3 51 E, T
1
+ T
∗
1
, T
2
+ T
∗
2
ASE(b
E
) = 0.045 ASE(V
0
) = 2.26
E-optimal cost
1 51 V ASE (d
1
) = 0.27 ASE(b
E
) = 4.27
2 51 V , T
2
+ T
∗
2
ASE(d
1
) = 0.12 ASE(b
E
) = 2.18
3 51 V , E, T
1
+ T
∗
1
ASE(b
E
) = 0.045 ASE(V
0
) = 0.77
SE-optimal cost
1 51 V ASE (d
1
) = 0.27 ASE(b
E
) = 4.27
2 51