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Kernel energy method: application to insulin.

Lulu Huang1, Lou Massa, Jerome Karle

  • 1Laboratory for the Structure of Matter, Naval Research Laboratory, Washington, DC 20375-5341, USA. williams@harker.nrl.navy.nil

Proceedings of the National Academy of Sciences of the United States of America
|August 27, 2005
PubMed
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The kernel energy method (KEM) accurately calculates the total energy of large molecules like proteins. This computational chemistry approach simplifies calculations by using smaller atom kernels, achieving high precision with minimal deviation from full molecule results.

Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Molecular Modeling

Background:

  • The kernel energy method (KEM) was previously developed for calculating the total energy of large molecules.
  • KEM simplifies calculations by representing molecules with smaller atom kernels, requiring crystal structure information.
  • Previous studies demonstrated KEM's accuracy for peptides and its independence from specific basis functions or quantum methods.

Purpose of the Study:

  • To apply the kernel energy method (KEM) for calculating the ab initio quantum mechanical energy of the protein insulin.
  • To assess the accuracy of KEM for both individual insulin chains and the complete molecule, including solvation effects.

Main Methods:

  • The kernel energy method (KEM) was employed, utilizing a simplified representation of the protein insulin (51 amino acids) with smaller atom kernels.

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  • Hartree-Fock calculations were performed using a limited basis set to obtain reference energies for the full insulin molecule and its components.
  • Solvent molecules were treated as a separate kernel within the KEM framework.

    • Main Results:

    • Accurate KEM Hartree-Fock energies were obtained for the A and B chains of insulin and the complete insulin molecule.
    • The KEM calculation for the non-solvated insulin molecule showed a negligible difference of 0.000002% compared to the full molecule Hartree-Fock result.
    • For the fully solvated insulin molecule, the KEM result differed from the full molecule Hartree-Fock calculation by only 0.000023%.

    Conclusions:

    • The kernel energy method (KEM) provides highly accurate total energy calculations for large biomolecules like proteins, including solvation effects.
    • KEM offers a computationally efficient approach for determining the ab initio quantum mechanical energy of complex molecular systems.
    • The method's accuracy and versatility make it suitable for various quantum computational methods and molecular sizes.