Abstract

Magnesium and calcium play an essential role in the folding and function of nucleic acids. To correctly describe their interactions with DNA and RNA in biomolecular simulations, an accurate parameterization is crucial. In most cases, the ion parameters are optimized based on a set of experimental solution properties such as solvation free energies, radial distribution functions, water exchange rates, and activity coefficient derivatives. However, the transferability of such bulk-optimized ion parameters to quantitatively describe biomolecular systems is limited. Here, we extend the applicability of our previous bulk-optimized parameters by including experimental binding affinities toward the phosphate oxygen on nucleic acids. In particular, we systematically adjust the combination rules that are an integral part of the pairwise interaction potentials of classical force fields. This allows us to quantitatively describe specific ion binding to nucleic acids without changing the solution properties in the most simple and efficient way. We show the advancement of the optimized Lorentz combination rule for two representative nucleic acid systems. For double-stranded DNA, the optimized combination rule for Ca2+ significantly improves the agreement with experiments, while the standard combination rule leads to unrealistically distorted DNA structures. For the add A-riboswitch, the optimized combination rule for Mg2+ improves the structure of two specifically bound Mg2+ ions as judged by the experimental distance to the binding site. Including experimental binding affinities toward specific ion binding sites on biomolecules, therefore, provides a promising perspective to develop a more accurate description of metal cations for biomolecular simulations.

Highlights

  • Divalent metal cations play a vital role in a large variety of physiological processes

  • The aim of our current work is to extend the applicability of bulk-optimized force field parameters12 to quantitatively describe the interactions of Mg2+ and Ca2+ with nucleic acids

  • While the diffusive ions are well described by parameters that reproduce experimental bulk properties, the transferability of those parameters to describe site-specific ion–nucleic acid interactions is limited: Figs. 1(a) and 1(b) illustrate that the standard Lorentz rule significantly overestimates the binding affinity ΔGb of Mg2+ and Ca2+ to the phosphate oxygen by 14 and 4 kBT, respectively

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Summary

Introduction

Divalent metal cations play a vital role in a large variety of physiological processes. The specific requirement for metal cations, in particular, Ca2+ and Mg2+, is especially pronounced in nucleic acid systems in which they stabilize the tertiary structure, drive folding, or catalyze chemical reactions.. To capture the role of metal cations in folding and in function, all-atom molecular dynamics simulations are suited to characterize the behavior of the ions and to provide a unique atomistic description of the dynamics. The ions are modeled as point charges and the electrostatic, dispersion, and excluded volume interactions are taken into account by a pairwise interaction potential. The pair potential between particles i and j is modeled as the sum of the Coulomb and the 12-6 Lennard-Jones (LJ) potential,

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