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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Efficient Geometry Optimization of Large Molecular Systems in Solution Using the Fragment Molecular Orbital Method.

Hiroya Nakata¹, Dmitri G Fedorov²

¹Department of Fundamental Technology Research, R and D Center Kagoshima, Kyocera , 1-4 Kokubu Yamashita-cho, Kirishima-shi, Kagoshima 899-4312, Japan.

The Journal of Physical Chemistry. A

|December 16, 2016

Summary

The frozen domain fragment molecular orbital (FMO) method with a polarizable continuum model accurately predicts molecular structures and binding energies. This computational approach significantly accelerates gradient calculations for large biomolecules.

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Area of Science:

Computational Chemistry
Quantum Chemistry
Molecular Modeling

Background:

The Fragment Molecular Orbital (FMO) method is a powerful tool for studying large molecular systems.
Combining FMO with continuum solvation models enhances its applicability to biological systems.
Accurate calculation of analytic gradients is crucial for geometry optimization and understanding reaction pathways.

Purpose of the Study:

To derive and validate the analytic gradient for the frozen domain FMO method coupled with the polarizable continuum model (PCM).
To assess the accuracy of the frozen domain FMO-PCM method for geometry optimization and binding energy calculations.
To evaluate the computational efficiency gains offered by the frozen domain approach.

Main Methods:

Derivation of the analytic gradient for the frozen domain FMO-PCM method.
Comparison of frozen domain FMO-PCM calculations with full FMO calculations.
Geometry optimization of protein-ligand complexes, including K-Ras (4Q03).
Pair interaction analysis to identify key binding residues.

Main Results:

The frozen domain FMO-PCM method accurately reproduces geometries optimized with full FMO (reduced mean square deviations of 0.03-0.09 Å).
Significant acceleration of single-point gradient calculations: 38-fold for Trp-cage (1L2Y) and 12-fold for crambin (1CRN).
Geometry optimization of the K-Ras protein-ligand complex (4Q03) yielded results consistent with experimental data.
Pair interaction analysis successfully identified residues critical for ligand binding.

Conclusions:

The frozen domain FMO-PCM method provides a computationally efficient and accurate approach for molecular structure and binding energy studies.
This method enables reliable geometry optimizations of large biomolecular systems, such as protein-ligand complexes.
The identified key residues through pair interaction analysis offer insights into molecular recognition and drug design.