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Title: Explicit ions/implicit water generalized Born model for nucleic acids

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5027260· OSTI ID:1455301
 [1];  [2]; ORCiD logo [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States). Computational Biology, Biological Sciences Division

>The ion atmosphere around highly charged nucleic acid molecules plays a significant role in their dynamics, structure, and interactions. Here we utilized the implicit solvent framework to develop a model for the explicit treatment of ions interacting with nucleic acid molecules. The proposed explicit ions/implicit water model is based on a significantly modified generalized Born (GB) model and utilizes a non-standard approach to define the solute/solvent dielectric boundary. Specifically, the model includes modifications to the GB interaction terms for the case of multiple interacting solutes—disconnected dielectric boundary around the solute-ion or ion-ion pairs. A fully analytical description of all energy components for charge-charge interactions is provided. The effectiveness of the approach is demonstrated by calculating the potential of mean force for Na+–Cl ion pair and by carrying out a set of Monte Carlo (MC) simulations of mono- and trivalent ions interacting with DNA and RNA duplexes. We report the monovalent (Na+) and trivalent (CoHex3+) counterion distributions predicted by the model are in close quantitative agreement with all-atom explicit water molecular dynamics simulations used as reference. Expressed in the units of energy, the maximum deviations of local ion concentrations from the reference are within kBT. The proposed explicit ions/implicit water GB model is able to resolve subtle features and differences of CoHex distributions around DNA and RNA duplexes. These features include preferential CoHex binding inside the major groove of the RNA duplex, in contrast to CoHex biding at the “external” surface of the sugar-phosphate backbone of the DNA duplex; these differences in the counterion binding patters were earlier shown to be responsible for the observed drastic differences in condensation propensities between short DNA and RNA duplexes. MC simulations of CoHex ions interacting with the homopolymeric poly(dA·dT) DNA duplex with modified (de-methylated) and native thymine bases are used to explore the physics behind CoHex-thymine interactions. The simulations suggest that the ion desolvation penalty due to proximity to the low dielectric volume of the methyl group can contribute significantly to CoHex-thymine interactions. Compared to the steric repulsion between the ion and the methyl group, the desolvation penalty interaction has a longer range and may be important to consider in the context of methylation effects on DNA condensation.

Research Organization:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE; National Institutes of Health (NIH); National Science Foundation (NSF)
Grant/Contract Number:
AC05-76RL01830; R01 GM099450; MCB-1715207
OSTI ID:
1455301
Report Number(s):
PNNL-SA-134331; 453040220
Journal Information:
Journal of Chemical Physics, Vol. 148, Issue 19; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (112)

Charge Asymmetries in Hydration of Polar Solutes journal February 2008
Electrostatics of nanosystems: Application to microtubules and the ribosome journal August 2001
Flexibility of nucleic acids: From DNA to RNA journal January 2016
Refinement of Generalized Born Implicit Solvation Parameters for Nucleic Acids and Their Complexes with Proteins journal July 2015
Condensation of DNA by multivalent cations: Considerations on mechanism journal November 1991
Ion Counting from Explicit-Solvent Simulations and 3D-RISM journal February 2014
Local elasticity of strained DNA studied by all-atom simulations journal August 2011
p K a predictions for proteins, RNAs, and DNAs with the Gaussian dielectric function using DelPhi p K a : Predicting p journal October 2015
Strain Softening in Stretched DNA journal September 2008
A Reexamination of Mean Force Potentials for the Methane Pair and the Constituent Ion Pairs of NaCl in Water journal January 2003
Coupling between Histone Conformations and DNA Geometry in Nucleosomes on a Microsecond Timescale: Atomistic Insights into Nucleosome Functions journal January 2016
Generalized Born Model with a Simple, Robust Molecular Volume Correction journal December 2006
Intricate coupling between ion–ion and ion–surface correlations in double layers as illustrated by charge inversion—combined effects of strong Coulomb correlations and excluded volume journal September 2009
Comparison of simple potential functions for simulating liquid water journal July 1983
A new table of the thermodynamic quantities of ionic hydration: values and some applications (enthalpy–entropy compensation and Born radii) journal January 2000
Nucleic Acid Helix Stability: Effects of Salt Concentration, Cation Valence and Size, and Chain Length journal February 2006
Incorporating variable dielectric environments into the generalized Born model journal March 2005
Prediction of binding free energy for adsorption of antimicrobial peptide lactoferricin B on a POPC membrane journal March 2008
A Modified Version of the Cornell et al. Force Field with Improved Sugar Pucker Phases and Helical Repeat journal February 1999
All-Atom Empirical Potential for Molecular Modeling and Dynamics Studies of Proteins journal April 1998
Treating ion distribution with Gaussian-based smooth dielectric function in DelPhi journal June 2017
Theory of electrostatic interactions in macromolecules journal April 1995
Explicit ion, implicit water solvation for molecular dynamics of nucleic acids and highly charged molecules journal January 2008
The Role of Correlation and Solvation in Ion Interactions with B-DNA journal January 2016
Accurate Calculation of Hydration Free Energies Using Macroscopic Solvent Models journal February 1994
Electrostatic correlations and fluctuations for ion binding to a finite length polyelectrolyte journal January 2005
Application of the RESP Methodology in the Parametrization of Organic Solvents journal October 1998
Treecode-based generalized Born method journal February 2011
Multi-shell model of ion-induced nucleic acid condensation journal April 2016
The Influence of Ionic Environment and Histone Tails on Columnar Order of Nucleosome Core Particles journal April 2016
On the Dielectric “Constant” of Proteins: Smooth Dielectric Function for Macromolecular Modeling and Its Implementation in DelPhi journal March 2013
Areas, Volumes, Packing, and Protein Structure journal June 1977
On the Dielectric Boundary in Poisson−Boltzmann Calculations journal February 2008
Salt Dependence of the Elasticity and Overstretching Transition of Single DNA Molecules journal June 2002
Why double-stranded RNA resists condensation journal August 2014
Classical electrostatics in biology and chemistry journal May 1995
Refinement of the AMBER Force Field for Nucleic Acids: Improving the Description of α/γ Conformers journal June 2007
Insight into the stabilization of A-DNA by specific ion association: spontaneous B-DNA to A-DNA transitions observed in molecular dynamics simulations of d[ACCCGCGGGT]2 in the presence of hexaamminecobalt(III) journal October 1997
Evaluation of Ion Binding to DNA Duplexes Using a Size-Modified Poisson-Boltzmann Theory journal November 2007
Electrostatic Potential of B-DNA: Effect of Interionic Correlations journal December 1998
Ion-water interaction potentials derived from free energy perturbation simulations journal October 1990
Ionic effects on the elasticity of single DNA molecules journal June 1997
Non-mean-field screening by multivalent counterions journal September 2009
Implementation and testing of stable, fast implicit solvation in molecular dynamics using the smooth-permittivity finite difference Poisson-Boltzmann method journal October 2004
Development of an improved four-site water model for biomolecular simulations: TIP4P-Ew journal May 2004
Statistical investigation of surface bound ions and further development of BION server to include pH and salt dependence journal October 2015
Pair correlations in an NaCl-SPC water model: Simulations versus extended RISM computations journal November 1992
Protein–Ligand Electrostatic Binding Free Energies from Explicit and Implicit Solvation journal August 2015
Determination of Alkali and Halide Monovalent Ion Parameters for Use in Explicitly Solvated Biomolecular Simulations journal July 2008
Analysis of integral expressions for effective Born radii journal November 2007
A New DelPhi Feature for Modeling Electrostatic Potential around Proteins: Role of Bound Ions and Implications for Zeta-Potential journal February 2017
Deficiency of the Coulomb-field approximation in the generalized Born model: An improved formula for Born radii evaluation journal September 2003
Role of histone tails in chromatin folding revealed by a mesoscopic oligonucleosome model journal October 2006
The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides journal May 1978
Continuum Electrostatic Energies of Macromolecules in Aqueous Solutions journal October 1997
Semianalytical treatment of solvation for molecular mechanics and dynamics journal August 1990
Determining the Locations of Ions and Water around DNA from X-Ray Scattering Measurements journal June 2015
The Free Energy of Hydration of Gaseous Ions, and the Absolute Potential of the Normal Calomel Electrode journal February 1939
The Amber biomolecular simulation programs journal January 2005
Grid-Based Surface Generalized Born Model for Calculation of Electrostatic Binding Free Energies journal October 2017
A strategy for reducing gross errors in the generalized Born models of implicit solvation journal April 2011
Speed of Conformational Change: Comparing Explicit and Implicit Solvent Molecular Dynamics Simulations journal March 2015
Reevaluation of the Born model of ion hydration journal December 1985
van der Waals Volumes and Radii journal March 1964
Improved Generalized Born Solvent Model Parameters for Protein Simulations journal March 2013
Quantitative analysis of Poisson–Boltzmann implicit solvent in molecular dynamics journal January 2010
FACTS: Fast analytical continuum treatment of solvation journal January 2008
Atomic Radii for Continuum Electrostatics Calculations Based on Molecular Dynamics Free Energy Simulations journal June 1997
MIBPB: A software package for electrostatic analysis journal September 2010
Chromatin Unfolding by Epigenetic Modifications Explained by Dramatic Impairment of Internucleosome Interactions: A Multiscale Computational Study journal August 2015
Exploring protein native states and large-scale conformational changes with a modified generalized born model journal March 2004
Predicting Nonspecific Ion Binding Using DelPhi journal June 2012
A Study of the Hydration of the Alkali Metal Ions in Aqueous Solution journal December 2011
Over-Destabilization of Protein–Protein Interaction in Generalized Born Model and Utility of Energy Density Integration Cutoff journal May 2017
Charge Hydration Asymmetry: The Basic Principle and How to Use It to Test and Improve Water Models journal August 2012
Equation of State Calculations by Fast Computing Machines journal June 1953
Accuracy Comparison of Generalized Born Models in the Calculation of Electrostatic Binding Free Energies journal January 2018
Effective Born radii in the generalized Born approximation: The importance of being perfect journal September 2002
Electrostatics and dynamics of proteins journal April 2003
Accelerated Poisson-Boltzmann calculations for static and dynamic systems journal July 2002
Spermine Condenses DNA, but Not RNA Duplexes journal January 2017
Analytical molecular surface calculation journal October 1983
Direct evidence for sequence-dependent attraction between double-stranded DNA controlled by methylation journal March 2016
Recent progress in adapting Poisson–Boltzmann methods to molecular simulations journal May 2014
Multiscale coarse-grained modelling of chromatin components: DNA and the nucleosome journal June 2016
Analytical electrostatics for biomolecules: Beyond the generalized  Born approximation journal March 2006
Biomolecular electrostatics—I want your solvation (model) journal January 2012
Performance comparison of generalized born and Poisson methods in the calculation of electrostatic solvation energies for protein structures journal January 2003
Enthalpy−Entropy and Cavity Decomposition of Alkane Hydration Free Energies:  Numerical Results and Implications for Theories of Hydrophobic Solvation journal July 2000
Reducing the Secondary Structure Bias in the Generalized Born Model via R6 Effective Radii journal November 2010
Rapid boundary element solvation electrostatics calculations in folding simulations: Successful folding of a 23-residue peptide journal January 2001
A smooth permittivity function for Poisson-Boltzmann solvation methods journal January 2001
Theory of hydrophobic bonding. II. Correlation of hydrocarbon solubility in water with solvent cavity surface area journal September 1972
Electrostatics of Strongly Charged Biological Polymers: Ion-Mediated Interactions and Self-Organization in Nucleic Acids and Proteins journal March 2010
New analytic approximation to the standard molecular volume definition and its application to generalized Born calculations journal June 2003
Opposing Effects of Multivalent Ions on the Flexibility of DNA and RNA journal July 2016
Assessing implicit models for nonpolar mean solvation forces: The importance of dispersion and volume terms journal May 2006
Ion pair potentials-of-mean-force in water journal August 1994
GBr 6 :  A Parameterization-Free, Accurate, Analytical Generalized Born Method journal March 2007
Alkali halides in water: Ion–solvent correlations and ion–ion potentials of mean force at infinite dilution journal May 1986
Poisson–Boltzmann versus Size-Modified Poisson–Boltzmann Electrostatics Applied to Lipid Bilayers journal December 2014
How Well Does Poisson−Boltzmann Implicit Solvent Agree with Explicit Solvent? A Quantitative Analysis journal September 2006
Reconciling the magnitude of the microscopic and macroscopic hydrophobic effects journal April 1991
First-Shell Solvation of Ion Pairs:  Correction of Systematic Errors in Implicit Solvent Models journal May 2004
Electrostatics of ion-ion interactions in solution journal June 1989
Implicit Solvent Model for Million-Atom Atomistic Simulations: Insights into the Organization of 30-nm Chromatin Fiber journal November 2016
Computational studies of polyurethanases from Pseudomonas journal January 2021
Mechanism of pore opening in the calcium-activated chloride channel TMEM16A journal February 2021
Chromatin Unfolding by Epigenetic Modifications Explained by Dramatic Impairment of Internucleosome Interactions: A Multiscale Computational Study. text January 2015
FACTS: Fast analytical continuum treatment of solvation text January 2008
New analytic approximation to the standard molecular volume definition and its application to generalized born calculations journal September 2003
Non-mean-field screening by multivalent counterions text January 2009

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