Optimal design of experiments for optimization-based model calibration using Fisher information matrix

2021 ◽  
pp. 107968
Author(s):  
Yongsu Jung ◽  
Ikjin Lee
Keyword(s):  
Optimal Design ◽  
Design Of Experiments ◽  
Fisher Information ◽  
Model Calibration ◽  
Fisher Information Matrix ◽  
Information Matrix ◽  
Optimal Design Of Experiments

scholarly journals Optimal design for population pk/pd models

2012 ◽  
Vol 51 (1) ◽  
pp. 115-130
Author(s):  
Sergei Leonov ◽  
Alexander Aliev
Keyword(s):  
Optimal Design ◽  
Fisher Information ◽  
Fisher Information Matrix ◽  
Information Matrix ◽  
Optimal Sampling ◽  
Design Algorithm ◽  
Sampling Schemes ◽  
Population Pk ◽  
Different Types

ABSTRACT We provide some details of the implementation of optimal design algorithm in the PkStaMp library which is intended for constructing optimal sampling schemes for pharmacokinetic (PK) and pharmacodynamic (PD) studies. We discuss different types of approximation of individual Fisher information matrix and describe a user-defined option of the library.

D-optimal design of experiments applied to lithium battery for ageing model calibration

Energy ◽  
2017 ◽  
Vol 141 ◽  
pp. 2108-2119 ◽  
Author(s):  
Romain Mathieu ◽  
Issam Baghdadi ◽  
Olivier Briat ◽  
Philippe Gyan ◽  
Jean-Michel Vinassa
Keyword(s):  
Optimal Design ◽  
Design Of Experiments ◽  
Model Calibration ◽  
Lithium Battery ◽  
Optimal Design Of Experiments ◽  
Ageing Model

scholarly journals Optimal Design of Experiments for Liquid–Liquid Equilibria Characterization via Semidefinite Programming

Processes ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 834 ◽  
Author(s):  
Belmiro P.M. Duarte ◽  
Anthony C. Atkinson ◽  
José F.O. Granjo ◽  
Nuno M.C. Oliveira
Keyword(s):  
Optimal Design ◽  
Design Of Experiments ◽  
Semidefinite Programming ◽  
Information Matrix ◽  
Ternary Systems ◽  
Initial Mixture ◽  
Optimality Criteria ◽  
Optimal Design Of Experiments ◽  
Optimization Formulation ◽  
Considerable Work

Liquid–liquid equilibria (LLE) characterization is a task requiring considerable work and appreciable financial resources. Notable savings in time and effort can be achieved when the experimental plans use the methods of the optimal design of experiments that maximize the information obtained. To achieve this goal, a systematic optimization formulation based on Semidefinite Programming is proposed for finding optimal experimental designs for LLE studies carried out at constant pressure and temperature. The non-random two-liquid (NRTL) model is employed to represent species equilibria in both phases. This model, combined with mass balance relationships, provides a means of computing the sensitivities of the measurements to the parameters. To design the experiment, these sensitivities are calculated for a grid of candidate experiments in which initial mixture compositions are varied. The optimal design is found by maximizing criteria based on the Fisher Information Matrix (FIM). Three optimality criteria (D-, A- and E-optimal) are exemplified. The approach is demonstrated for two ternary systems where different sets of parameters are to be estimated.

scholarly journals Maximal Power Tests for Detecting Defects in Meiotic Recombination

Genetics ◽  
2002 ◽  
Vol 161 (3) ◽  
pp. 1333-1337
Author(s):  
Thomas I Milac ◽  
Frederick R Adler ◽  
Gerald R Smith
Keyword(s):  
Optimal Design ◽  
Design Of Experiments ◽  
Meiotic Recombination ◽  
Region Of Interest ◽  
Genetic Distances ◽  
Genomic Region ◽  
Maximal Power ◽  
Optimal Design Of Experiments ◽  
Crossover Interference ◽  
Single Interval

Abstract We have determined the marker separations (genetic distances) that maximize the probability, or power, of detecting meiotic recombination deficiency when only a limited number of meiotic progeny can be assayed. We find that the optimal marker separation is as large as 30–100 cM in many cases. Provided the appropriate marker separation is used, small reductions in recombination potential (as little as 50%) can be detected by assaying a single interval in as few as 100 progeny. If recombination is uniformly altered across the genomic region of interest, the same sensitivity can be obtained by assaying multiple independent intervals in correspondingly fewer progeny. A reduction or abolition of crossover interference, with or without a reduction of recombination proficiency, can be detected with similar sensitivity. We present a set of graphs that display the optimal marker separation and the number of meiotic progeny that must be assayed to detect a given recombination deficiency in the presence of various levels of crossover interference. These results will aid the optimal design of experiments to detect meiotic recombination deficiency in any organism.

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