Is the G-quadruplex an effective nanoconductor for ions?

We use a stepwise pulling protocol in molecular dynamics simulations to identify how a G-quadruplex selects and conducts Na(+), K(+), and NH4(+) ions. By estimating the minimum free-energy changes of the ions along the central channel via Jarzynski's equality, we find that the G-quadruplex selectively binds the ionic species in the following order: K(+) > Na(+) > NH4(+). This order implies that K(+) optimally fits the channel. However, the features of the free-energy profiles indicate that the channel conducts Na(+) best. These findings are in fair agreement with experiments on G-quadruplexes and reveal a profoundly different behavior from the prototype potassium-ion channel KcsA, which selects and conducts the same ionic species. We further show that the channel can also conduct a single file of water molecules and deform to leak water molecules. We propose a range for the conductance of the G-quadruplex.

[1]  H. Deng,et al.  Kinetics of sodium ion binding to DNA quadruplexes. , 1996, Journal of molecular biology.

[2]  G-quartet biomolecular nanowires , 2002, cond-mat/0203139.

[3]  B. Saccà,et al.  DNA Nanomachines and Nanostructures Involving Quadruplexes , 2006 .

[4]  K. Schulten,et al.  Free energy calculation from steered molecular dynamics simulations using Jarzynski's equality , 2003 .

[5]  P C Moody,et al.  The high-resolution crystal structure of a parallel-stranded guanine tetraplex. , 1994, Science.

[6]  D. Porath,et al.  Assembling of G-strands into novel tetra-molecular parallel G4-DNA nanostructures using avidin–biotin recognition , 2008, Nucleic acids research.

[7]  Jeffery T. Davis G-Quartets 40 Years Later: From 5′-GMP to Molecular Biology and Supramolecular Chemistry , 2004 .

[8]  R. O'Sullivan,et al.  Telomeres: protecting chromosomes against genome instability , 2010, Nature Reviews Molecular Cell Biology.

[9]  Pavel Hobza,et al.  Accurate interaction energies of hydrogen-bonded nucleic acid base pairs. , 2004, Journal of the American Chemical Society.

[10]  N. Maizels,et al.  Dynamic roles for G4 DNA in the biology of eukaryotic cells , 2006, Nature Structural &Molecular Biology.

[11]  E. Novellino,et al.  Topological characterization of nucleic acid G-quadruplexes by UV absorption and circular dichroism. , 2011, Angewandte Chemie.

[12]  K. Schulten,et al.  Calculating potentials of mean force from steered molecular dynamics simulations. , 2004, The Journal of chemical physics.

[13]  D. Porath,et al.  Cover Picture: Long, Monomolecular Guanine-Based Nanowires (Adv. Mater. 15/2005) , 2005 .

[14]  J. Šponer,et al.  Refinement of the AMBER Force Field for Nucleic Acids: Improving the Description of α/γ Conformers , 2007 .

[15]  Alexander D. MacKerell Empirical force fields for biological macromolecules: Overview and issues , 2004, J. Comput. Chem..

[16]  Van A Ngo Parallel-pulling protocol for free-energy evaluation. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  A. Hodgkin,et al.  The potassium permeability of a giant nerve fibre , 1955, The Journal of physiology.

[18]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[19]  Gang Wu,et al.  Direct NMR detection of the "invisible" alkali metal cations tightly bound to G-quadruplex structures. , 2005, Biochemical and biophysical research communications.

[20]  S. Haas,et al.  Demonstration of Jarzynski's equality in open quantum systems using a stepwise pulling protocol. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Benoît Roux,et al.  Ion conduction and selectivity in K(+) channels. , 2005, Annual review of biophysics and biomolecular structure.

[22]  N. Mosey,et al.  Free-energy landscapes of ion movement through a G-quadruplex DNA channel. , 2012, Angewandte Chemie.

[23]  A. Phan,et al.  Giardia telomeric sequence d(TAGGG)4 forms two intramolecular G-quadruplexes in K+ solution: effect of loop length and sequence on the folding topology. , 2009, Journal of the American Chemical Society.

[24]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[25]  S. Balasubramanian,et al.  Studies on the structure and dynamics of the human telomeric G quadruplex by single-molecule fluorescence resonance energy transfer , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[26]  J. Feigon,et al.  The selectivity for K+ versus Na+ in DNA quadruplexes is dominated by relative free energies of hydration: a thermodynamic analysis by 1H NMR. , 1996, Biochemistry.

[27]  D. Porath,et al.  Long, Monomolecular Guanine‐Based Nanowires , 2005 .

[28]  B. Brooks,et al.  Constant pressure molecular dynamics simulation: The Langevin piston method , 1995 .

[29]  A. Warshel,et al.  Through the channel and around the channel: Validating and comparing microscopic approaches for the evaluation of free energy profiles for ion penetration through ion channels. , 2005, The journal of physical chemistry. B.

[30]  Kresten Lindorff-Larsen,et al.  Principles of conduction and hydrophobic gating in K+ channels , 2010, Proceedings of the National Academy of Sciences.

[31]  C. C. Hardin,et al.  Ion-Induced Stabilization of the G-DNA Quadruplex: Free Energy Perturbation Studies , 1994 .

[32]  F. J. Luque,et al.  Nature of base stacking: reference quantum-chemical stacking energies in ten unique B-DNA base-pair steps. , 2006, Chemistry.

[33]  D. Lilley,et al.  The crystal structure of a parallel-stranded guanine tetraplex at 0.95 A resolution. , 1997, Journal of molecular biology.

[34]  R. MacKinnon,et al.  Chemistry of ion coordination and hydration revealed by a K+ channel–Fab complex at 2.0 Å resolution , 2001, Nature.

[35]  Jeffery T. Davis,et al.  A unimolecular G-quadruplex that functions as a synthetic transmembrane Na+ transporter. , 2006, Journal of the American Chemical Society.

[36]  Jeffery T. Davis,et al.  Toward Artificial Ion Channels: A Lipophilic G-Quadruplex , 2000 .

[37]  F. Bezanilla,et al.  Negative Conductance Caused by Entry of Sodium and Cesium Ions into the Potassium Channels of Squid Axons , 1972, The Journal of general physiology.

[38]  T. Cheatham,et al.  Molecular dynamics simulation of nucleic acids: Successes, limitations, and promise * , 2000, Biopolymers.

[39]  S. Balasubramanian,et al.  Quantitative visualization of DNA G-quadruplex structures in human cells. , 2013, Nature chemistry.

[40]  B. Halle,et al.  Internal sodium ions and water molecules in guanine quadruplexes: magnetic relaxation dispersion studies of [d(G3T4G3)]2 and [d(G4T4G4)]2. , 2008, Biochemistry.

[41]  D. Porath,et al.  Polarizability of G4-DNA observed by electrostatic force microscopy measurements. , 2007, Nano letters.

[42]  J. Feigon,et al.  Binding sites and dynamics of ammonium ions in a telomere repeat DNA quadruplex. , 1999, Journal of molecular biology.

[43]  Manuel C. Peitsch,et al.  Computational structural biology : methods and applications , 2008 .

[44]  T. Cheatham,et al.  Determination of Alkali and Halide Monovalent Ion Parameters for Use in Explicitly Solvated Biomolecular Simulations , 2008, The journal of physical chemistry. B.

[45]  A. Calzolari,et al.  Stability and migration of metal ions in G4-wires by molecular dynamics simulations. , 2006, The journal of physical chemistry. B.

[46]  D. Ermak,et al.  Brownian dynamics with hydrodynamic interactions , 1978 .

[47]  Not all G-quadruplexes exhibit ion-channel-like properties: NMR study of ammonium ion (non)movement within the d(G(3)T(4)G(4))(2) quadruplex. , 2007, Journal of the American Chemical Society.

[48]  C. Miller,et al.  KcsA: it's a potassium channel. , 2001, The Journal of general physiology.

[49]  Stephan Haas,et al.  Non-Equilibrium Dynamics Contribute to Ion Selectivity in the KcsA Channel , 2014, PloS one.