Developing a Differentiable Long-Range Force Field for Proteins with E(3) Neural Network-Predicted Asymptotic Parameters.

Journal: Journal of chemical theory and computation
PMID:

Abstract

Accurately describing long-range interactions is a significant challenge in molecular dynamics (MD) simulations of proteins. High-quality long-range potential is also an important component of the range-separated machine learning force field. This study introduces a comprehensive asymptotic parameter database encompassing atomic multipole moments, polarizabilities, and dispersion coefficients. Leveraging active learning, our database comprehensively represents protein fragments with up to 8 heavy atoms, capturing their conformational diversity with merely 78,000 data points. Additionally, the E(3) neural network (E3NN) is employed to predict the asymptotic parameters directly from the local geometry. The E3NN models demonstrate exceptional accuracy and transferability across all asymptotic parameters, achieving an of 0.999 for both protein fragments and 20 amino acid dipeptide test sets. The long-range electrostatic and dispersion energies can be obtained using the E3NN-predicted parameters, with an error of 0.07 and 0.02 kcal/mol, respectively, when compared to symmetry-adapted perturbation theory (SAPT). Therefore, our force fields demonstrate the capability to accurately describe long-range interactions in proteins, paving the way for next-generation protein force fields.

Authors

  • Zheng Cheng
    Key Laboratory of Mesoscopic Chemistry of Ministry of Education, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, P. R. China.
  • Hangrui Bi
    School of Mathematical Sciences, Peking University, Beijing 100871, China.
  • Siyuan Liu
    Key laboratory of Transplantation, Chinese Academy of Medical Sciences, Tianjin, 300192, China; Tianjin Key Laboratory for Organ Transplantation, Tianjin First Center Hospital, Tianjin, 300192, China; Department of Liver Transplantation, Tianjin Medical University First Center Clinical College, Tianjin, 300192, China; Tianjin Key Laboratory of Molecular and Treatment of Liver Cancer, Tianjin First Center Hospital, Tianjin, 300192, China.
  • Junmin Chen
    Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, 610031, China.
  • Alston J Misquitta
    School of Physics and Astronomy, Queen Mary, University of London, London E1 4NS, U.K.
  • Kuang Yu
    Tsinghua-Berkeley Shenzhen Institute (TBSI), Institute of Materials Research (iMR), Tsinghua Shenzhen International Graduate School (TSIGS), Tsinghua University, Shenzhen 518055, P. R. China.