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Divide and Correlate: Mapping Electronic Correlations in Proteins via Local Cut-Wise Reconstruction

https://doi.org/10.26434/chemrxiv-2025-2xknx

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Dataset and Workflow Files for Insulin AMI/FMI Analysis

This repository contains all fragment-level and full-system data used in the divide-and-correlate reconstruction of Atomic Mutual Information (AMI) and Fragment Mutual Information (FMI) for the insulin protein. The dataset includes spherical fragment structures, quantum-chemical inputs and outputs, mutual information (MI) matrices, and stitched reconstructions used in the manuscript.

Specifically, the repository provides:

Spherical fragment structures with capping (XYZ files) and without capping (PDB files)

  • Lists of amino acids included in each spherical fragment together with the number of atoms per residue, stored as {'RESNAMEresID': number_of_atoms}
  • RMSD values of each spherical fragment after position-restrained energy minimization relative to the full protein
  • Fragment AMI matrices
  • Stitched AMI/FMI matrices for each radius
  • Full-protein structures and reference AMI/FMI matrices
  • ORCA DFT input and output files are available at https://doi.org/10.25545/OZX7DP

Computational Methods

All spherical fragments were capped with NH₂/COOH groups and subjected to position-restrained energy minimization using the OPLS-AA force field and the steepest-descent algorithm implemented in GROMACS to remove steric clashes at the cut boundaries while preserving the native protein geometry. DFT single-point calculations were performed using ORCA, and reduced density matrices (RDMs) were subsequently computed using in-house software.

Repository Structure

📦 insulin
├─ full_protein
│  ├─ full_protein.pdb
│  ├─ full_protein.xyz
│  ├─ full_protein_AMI.csv
│  ├─ full_protein_FMI.csv
└─ stitched
   ├─ radius4
   │  ├─ aa_list_r4.txt
   │  ├─ rmsd_r4.csv
   │  ├─ stitched_AMI_matrix.csv
   │  ├─ stitched_FMI_matrix.csv
   │  ├─ sphere01
   │  │  ├─ sphere01_AMI_cap.csv
   │  │  ├─ sphere01_AMI_nocap.csv
   │  │  ├─ sphere01_cap.xyz
   │  │  └─ sphere01_nocap.pdb
   │  ├─ .
   │  ├─ .
   │  ├─ .
   │  └─ sphere51
   ├─ radius5
   │  ├─ aa_list_r5.txt
   │  ├─ rmsd_r5.csv
   │  ├─ stitched_AMI_matrix.csv
   │  ├─ stitched_FMI_matrix.csv
   │  ├─ sphere01
   │  │  ├─ sphere01_AMI_cap.csv
   │  │  ├─ sphere01_AMI_nocap.csv
   │  │  ├─ sphere01_cap.xyz
   │  │  └─ sphere01_nocap.pdb
   │  ├─ .
   │  ├─ .
   │  ├─ .
   │  └─ sphere51
   └─ radius6
      ├─ aa_list_r6.txt
      ├─ rmsd_r6.csv
      ├─ stitched_AMI_matrix.csv
      ├─ stitched_FMI_matrix.csv
      ├─ sphere01
      │  ├─ sphere01_AMI_cap.csv
      │  ├─ sphere01_AMI_nocap.csv
      │  ├─ sphere01_cap.xyz
      │  └─ sphere01_nocap.pdb
      ├─ .
      ├─ .
      ├─ .
      └─ sphere51

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Workflow Summary

  1. Generate overlapping spherical fragments centered on Cα atoms (r = 4, 5, 6 Å).
  2. Add capping groups (NH₂/COOH) at cut boundaries.
  3. Perform position-restrained energy minimization using GROMACS.
  4. Run ORCA DFT single-point calculations (ωB97M-V/6-31G(d)) for each fragment and for the full protein.
  5. Extract Kohn–Sham wavefunctions.
  6. Compute RDMs and mutual information.
  7. Construct AMI matrices for each fragment.
  8. Remove capping atoms and stitch overlapping fragments to reconstruct protein-scale AMI.
  9. Derive FMI matrices from the stitched AMI data.

Citation

  1. M. J. Moghadam, K. Boguslawski, R. Doucet, Ö. Legeza, P. Tecmer and S. De Baerdemacker, chemrxiv., 2024.
  2. M. J. Moghadam, K. Boguslawski, P. Tecmer, S. De Baerdemacker, chemrxiv., 2025
  3. M. J. Abraham, T. Murtola, R. Schulz, S. Páll, J. C. Smith, B. Hess and E. Lindahl, Softw. X, 2015, 1, 19–25.
  4. F. Neese, WIREs Comput. Mol. Sci., 2012, 2, 73–78.

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