Journal of Chemical Information and Modeling · 2022 · 19 citations · 27 references
Natural SciencesChemistryBiomolecular ModelingComputational ChemistryMolecular PhysicsAb Initio MethodsConformational AnalysisMagnetic Resonance SpectroscopyMolecular ModelingMolecular RotationNuclear Magnetic Resonance AnalysisNuclear Magnetic Resonance Conformational AnalysisNuclear Magnetic Resonance Data AnalysisNuclear Magnetic Resonance Structure AnalysisNuclear Magnetic Resonance Structure DeterminationNuclear Magnetic Resonance-based Structure PredictionRotamer AnalysisRotamer Prediction
A hybrid experimental–computational method to determine conformational equilibria of molecules in solution has been developed based on the use of redundant nuclear magnetic resonance (NMR) spin–spin coupling constants (spin-couplings; J-couplings), density functional theory (DFT) calculations, and circular statistics. The mathematics that underpins the method, known as MA’AT analysis, is presented, and key components of a computer program that applies this algorithm are discussed. The method was tested using single-state and multi-state models to identify the factors required to obtain reliable results, to establish the limitations of the method, and to highlight techniques to evaluate the uniqueness of solution.
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A Simplex Method for Function Minimization
J. A. Nelder, R. Mead · The Computer Journal · 1965 · 28.9K citations