Adsorption of praziquantel enantiomers on chiral cellulose tris 3-chloro, 4-methylphenylcarbamate by frontal analysis: Fisherian and Bayesian parameter estimation and inference

Parameter estimation and estimability analysis in pharmaceutical models with uncertain inputs

“…Sen et al 28 Methylation of heteroatom-containing molecules Batch N Szilagyi et al 29 Pharmaceutical crystallization processes for Indomethacin Batch N Diab et al 30 Kinetics, distillation, and crystallization for one step in amine production Batch N Dos Santos et al 31 Adsorption of Praziquantel enantiomers -Y authors decided which parameters should be fixed at nominal values and which should be estimated based on their scientific or engineering judgment. 10,13,23,26,29,30 The authors for the remaining five studies, used formal statistical methods for subset selection with sensitivitybased methods being most popular.…”

“…In all the studies listed in Table 1, model inputs (independent variables) were assumed to be perfectly known during parameter estimation and all of the experimental uncertainty was assigned to the model outputs (dependent variables). This assumption enabled modelers to use either least squares (LS) 12,15,27 or weighted least squares (WLS) estimation, 7,9,13,14,16,20,24,25,29,31 which is applied when there are multiple dependent variables with different levels of variability. Sometimes, however, uncertainties in independent variables can be large due to measurement errors in process inputs or other difficulties in achieving the desired experimental settings.…”

“…squares (WLS) estimation, 7,9,13,14,16,20,24,25,29,31 which is applied when there are multiple dependent variables with different levels of variability.…”

Parameter Estimation and Estimability Analysis in Pharmaceutical Models with Uncertain Inputs

“…[7][8][9] In all the studies listed in Table 1, model inputs (independent variables) were assumed to be perfectly known during parameter estimation and all of the experimental uncertainty was assigned to the model outputs (dependent variables). This assumption enabled modelers to use either Least Squares (LS) 15,18,30 or Weighted Least Squares (WLS) estimation, 10,12,16,17,19,23,27,28,32,34 which is applied when there are multiple dependent variables with different levels of variability.…”

“…In such cases, neglecting the input uncertainties can adversely affect the accuracy of parameter estimates and associated model predictions. 35,36 10 Primary drying of pharmaceuticals Batch Y Sadikoglu and Liapis, 1997 11 Drying stages in bulk solution freeze-drying of pharmaceuticals in trays Batch Y Togkalidou et al, 2004 12 Cooling crystallization of a drug compound Batch Y Hermanto et al, 2008 13 Crystallization of L-glutamic acid polymorphs Batch N Velardi et al, 2008 14 Freeze-drying of pharmaceutical solutions Batch Y Mortier et al, 2012 15 Drying behaviour of single pharmaceutical granules Continuous Y Barrasso et al, 2013 16 Tablet manufacturing Continuous N Barrasso et al, 2015 17 Twin screw granulation process Continuous Y Selisteanu et al, 2015 18 Monoclonal antibody production Batch Y 34 Adsorption of Praziquantel enantiomers -Y Although input uncertainties were not considered during parameter estimation in the studies shown in Table 1, they have been considered in other types of fundamental chemical process models. 37 The main approach used to account for input uncertainty in chemical engineering literature is called Error-in-Variables-Model (EVM) parameter estimation.…”