Genetic Algorithm-Enhanced Direct Method in Protein Crystallography

Direct methods based on iterative projection algorithms can determine protein crystal structures directly from X-ray diffraction data without prior structural information. However, traditional direct methods often converge to local minima during electron density iteration, leading to reconstruction...

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Main Authors: Ruijiang Fu, Wu-Pei Su, Hongxing He
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Molecules
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Online Access:https://www.mdpi.com/1420-3049/30/2/288
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author Ruijiang Fu
Wu-Pei Su
Hongxing He
author_facet Ruijiang Fu
Wu-Pei Su
Hongxing He
author_sort Ruijiang Fu
collection DOAJ
description Direct methods based on iterative projection algorithms can determine protein crystal structures directly from X-ray diffraction data without prior structural information. However, traditional direct methods often converge to local minima during electron density iteration, leading to reconstruction failure. Here, we present an enhanced direct method incorporating genetic algorithms for electron density modification in real space. The method features customized selection, crossover, and mutation strategies; premature convergence prevention; and efficient message passing interface (MPI) parallelization. We systematically tested the method on 15 protein structures from different space groups with diffraction resolutions of 1.35∼2.5 Å. The test cases included high-solvent-content structures, high-resolution structures with medium solvent content, and structures with low solvent content and non-crystallographic symmetry (NCS). Results showed that the enhanced method significantly improved success rates from below 30% to nearly 100%, with average phase errors reduced below 40°. The reconstructed electron density maps were of sufficient quality for automated model building. This method provides an effective alternative for solving structures that are difficult to predict accurately by AlphaFold3 or challenging to solve by molecular replacement and experimental phasing methods. The implementation is available on Github.
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spelling doaj-art-2eb51ef5daf44a848e64f8fd07873f7f2025-01-24T13:43:25ZengMDPI AGMolecules1420-30492025-01-0130228810.3390/molecules30020288Genetic Algorithm-Enhanced Direct Method in Protein CrystallographyRuijiang Fu0Wu-Pei Su1Hongxing He2Department of Physics, School of Physical Science and Technology, Ningbo University, Ningbo 315211, ChinaDepartment of Physics and Texas Center for Superconductivity, University of Houston, Houston, TX 77204, USADepartment of Physics, School of Physical Science and Technology, Ningbo University, Ningbo 315211, ChinaDirect methods based on iterative projection algorithms can determine protein crystal structures directly from X-ray diffraction data without prior structural information. However, traditional direct methods often converge to local minima during electron density iteration, leading to reconstruction failure. Here, we present an enhanced direct method incorporating genetic algorithms for electron density modification in real space. The method features customized selection, crossover, and mutation strategies; premature convergence prevention; and efficient message passing interface (MPI) parallelization. We systematically tested the method on 15 protein structures from different space groups with diffraction resolutions of 1.35∼2.5 Å. The test cases included high-solvent-content structures, high-resolution structures with medium solvent content, and structures with low solvent content and non-crystallographic symmetry (NCS). Results showed that the enhanced method significantly improved success rates from below 30% to nearly 100%, with average phase errors reduced below 40°. The reconstructed electron density maps were of sufficient quality for automated model building. This method provides an effective alternative for solving structures that are difficult to predict accurately by AlphaFold3 or challenging to solve by molecular replacement and experimental phasing methods. The implementation is available on Github.https://www.mdpi.com/1420-3049/30/2/288direct methodgenetic algorithmprotein crystallographyphase problemnon-crystallographic symmetryparallel computing
spellingShingle Ruijiang Fu
Wu-Pei Su
Hongxing He
Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
Molecules
direct method
genetic algorithm
protein crystallography
phase problem
non-crystallographic symmetry
parallel computing
title Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
title_full Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
title_fullStr Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
title_full_unstemmed Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
title_short Genetic Algorithm-Enhanced Direct Method in Protein Crystallography
title_sort genetic algorithm enhanced direct method in protein crystallography
topic direct method
genetic algorithm
protein crystallography
phase problem
non-crystallographic symmetry
parallel computing
url https://www.mdpi.com/1420-3049/30/2/288
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