Title
Optimal Designs For Pairwise Calculation: An Application To Free Energy Perturbation In Minimizing Prediction Variability
Abstract
Pairwise-based methods such as the free energy perturbation (FEP) method have been widely deployed to compute the binding free energy differences between two similar host-guest complexes. The calculated pairwise free energy difference is either directly adopted or transformed to absolute binding free energy for molecule rank ordering. We investigated, through both analytic derivations and simulations, how the selection of pairs in the experiment could impact the overall prediction precision. Our studies showed that (1) the estimated absolute binding free energy (Delta G<^>) derived from calculated pairwise differences (Delta Delta G) through weighted least squares fitting is more precise in prediction than the pairwise difference values when the number of pairs is more than the number of ligands and (2) prediction precision is influenced by both the total number of pairs and the specifically selected pairs, the latter being critically important when the number of calculated pairs is limited. Furthermore, we applied optimal experimental design in pair selection and found that the optimally selected pairs can outperform randomly selected pairs in prediction precision. In an illustrative example, we showed that, upon weighing ligand structure similarity into design optimization, the weighted optimal designs are more efficient than the literature reported designs. This work provides a new approach to assess retrospective pairwise-based prediction results, and a method to design new prospective pairwise-based experiments for molecular lead optimization. (c) 2019 Wiley Periodicals, Inc.
Year
DOI
Venue
2020
10.1002/jcc.26095
JOURNAL OF COMPUTATIONAL CHEMISTRY
Keywords
Field
DocType
binding affinity, binding free energy, free energy perturbation, pairwise comparison, perturbation graph, design topology, experimental error, mean squared error, Spearman correlation, experimental design
Applied mathematics,Pairwise comparison,Mathematical optimization,Mean squared error,Chemistry,Optimal design,Free energy perturbation,Spearman's rank correlation coefficient
Journal
Volume
Issue
ISSN
41
3
0192-8651
Citations 
PageRank 
References 
0
0.34
0
Authors
7
Name
Order
Citations
PageRank
Qingyi Yang100.34
Woodrow Burchett200.34
Gregory S Steeno300.34
Shuai Liu400.34
Mingjun Yang500.34
David L. Mobley621920.01
Xinjun Hou700.68