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Modeling and Inverse Problems in the Presence of Uncertainty
book

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
April 2014
Intermediate to advanced content levelIntermediate to advanced
405 pages
13h
English
Chapman and Hall/CRC
Content preview from Modeling and Inverse Problems in the Presence of Uncertainty
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
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Publisher Resources

ISBN: 9781482206432