CHARMM all-atom additive force field for sphingomyelin: elucidation of hydrogen bonding and of positive curvature.

The C36 CHARMM lipid force field has been extended to include sphingolipids, via a combination of high-level quantum mechanical calculations on small molecule fragments, and validation by extensive molecular dynamics simulations on N-palmitoyl and N-stearoyl sphingomyelin. NMR data on these two molecules from several studies in bilayers and micelles played a strong role in the development and testing of the force field parameters. Most previous force fields for sphingomyelins were developed before the availability of the detailed NMR data and relied on x-ray diffraction of bilayers alone for the validation; these are shown to be too dense in the bilayer plane based on published chain order parameter data from simulations and experiments. The present simulations reveal O-H:::O-P intralipid hydrogen bonding occurs 99% of the time, and interlipid N-H:::O=C (26-29%, depending on the lipid) and N-H:::O-H (17-19%). The interlipid hydrogen bonds are long lived, showing decay times of 50 ns, and forming strings of lipids, and leading to reorientational correlation time of nearly 100 ns. The spontaneous radius of curvature for pure N-palmitoyl sphingomyelin bilayers is estimated to be 43-100 Å, depending on the assumptions made in assigning a bending constant; this unusual positive curvature for a two-tailed neutral lipid is likely associated with hydrogen bond networks involving the NH of the sphingosine group.

[1]  Siewert J Marrink,et al.  Martini Force Field Parameters for Glycolipids. , 2013, Journal of chemical theory and computation.

[2]  David Chandler,et al.  Statistical mechanics of isomerization dynamics in liquids and the transition state approximation , 1978 .

[3]  Alexander D. MacKerell,et al.  Update of the CHARMM all-atom additive force field for lipids: validation on six lipid types. , 2010, The journal of physical chemistry. B.

[4]  M. Klein,et al.  Nosé-Hoover chains : the canonical ensemble via continuous dynamics , 1992 .

[5]  Richard W. Pastor,et al.  Computer Simulation of a DPPC Phospholipid Bilayer: Structural Changes as a Function of Molecular Surface Area , 1997 .

[6]  N. Matsumori,et al.  NMR-based conformational analysis of sphingomyelin in bicelles. , 2012, Bioorganic & medicinal chemistry.

[7]  Perttu S. Niemelä,et al.  Structure and dynamics of sphingomyelin bilayer: insight gained through systematic comparison to phosphatidylcholine. , 2004, Biophysical journal.

[8]  B. Brooks,et al.  Langevin dynamics of peptides: The frictional dependence of isomerization rates of N‐acetylalanyl‐N′‐methylamide , 1992, Biopolymers.

[9]  Ronald M. Levy,et al.  SOLVATION FREE ENERGIES OF SMALL AMIDES AND AMINES FROM MOLECULAR DYNAMICS/FREE ENERGY PERTURBATION SIMULATIONS USING PAIRWISE ADDITIVE AND MANY-BODY POLARIZABLE POTENTIALS , 1995 .

[10]  Michael F. Crowley,et al.  New faster CHARMM molecular dynamics engine , 2013, J. Comput. Chem..

[11]  M. Hyvönen,et al.  Molecular dynamics simulation of sphingomyelin bilayer , 2003 .

[12]  Bernard R. Brooks,et al.  Computer simulation of liquid/liquid interfaces. I. Theory and application to octane/water , 1995 .

[13]  R. Rand,et al.  The influence of cholesterol on phospholipid membrane curvature and bending elasticity. , 1997, Biophysical journal.

[14]  Bernard R Brooks,et al.  Rotation of lipids in membranes: molecular dynamics simulation, 31P spin-lattice relaxation, and rigid-body dynamics. , 2008, Biophysical journal.

[15]  Hiroki Okazaki,et al.  Comprehensive molecular motion capture for sphingomyelin by site-specific deuterium labeling. , 2012, Biochemistry.

[16]  R. Wolfenden,et al.  Interaction of the peptide bond with solvent water: a vapor phase analysis. , 1978, Biochemistry.

[17]  R. Pastor,et al.  Molecular modeling of lipid membrane curvature induction by a peptide: more than simply shape. , 2014, Biophysical journal.

[18]  E. Evans,et al.  Effect of chain length and unsaturation on elasticity of lipid bilayers. , 2000, Biophysical journal.

[19]  G. Shipley,et al.  X-ray scattering of vesicles of N-acyl sphingomyelins. Determination of bilayer thickness. , 1986, Biophysical journal.

[20]  Dusanka Janezic,et al.  Liquid-ordered phase formation in cholesterol/sphingomyelin bilayers: all-atom molecular dynamics simulations. , 2009, The journal of physical chemistry. B.

[21]  J. Nagle Introductory lecture: basic quantities in model biomembranes. , 2013, Faraday discussions.

[22]  R. Pastor,et al.  Bending free energy from simulation: correspondence of planar and inverse hexagonal lipid phases. , 2013, Biophysical journal.

[23]  G. Shipley,et al.  N-palmitoyl sphingomyelin bilayers: structure and interactions with cholesterol and dipalmitoylphosphatidylcholine. , 1996, Biochemistry.

[24]  Jeffery B. Klauda,et al.  Collective and noncollective models of NMR relaxation in lipid vesicles and multilayers. , 2008, The journal of physical chemistry. B.

[25]  Jianpeng Ma,et al.  CHARMM: The biomolecular simulation program , 2009, J. Comput. Chem..

[26]  Mark E. Tuckerman,et al.  Reversible multiple time scale molecular dynamics , 1992 .

[27]  H. Riezman,et al.  Distribution and functions of sterols and sphingolipids. , 2011, Cold Spring Harbor perspectives in biology.

[28]  C. Breneman,et al.  Determining atom‐centered monopoles from molecular electrostatic potentials. The need for high sampling density in formamide conformational analysis , 1990 .

[29]  T. Darden,et al.  Particle mesh Ewald: An N⋅log(N) method for Ewald sums in large systems , 1993 .

[30]  Y. Hannun,et al.  The complex life of simple sphingolipids , 2004, EMBO reports.

[31]  R. Bittman,et al.  Structure and lipid interaction of N-palmitoylsphingomyelin in bilayer membranes as revealed by 2H-NMR spectroscopy. , 2006, Biophysical journal.

[32]  Michael F. Brown,et al.  Raftlike mixtures of sphingomyelin and cholesterol investigated by solid-state 2H NMR spectroscopy. , 2008, Journal of the American Chemical Society.

[33]  Alexander D. MacKerell,et al.  Impact of 2′‐hydroxyl sampling on the conformational properties of RNA: Update of the CHARMM all‐atom additive force field for RNA , 2011, J. Comput. Chem..

[34]  R. Rand,et al.  The influence of lysolipids on the spontaneous curvature and bending elasticity of phospholipid membranes. , 2001, Biophysical journal.

[35]  W. Helfrich Elastic Properties of Lipid Bilayers: Theory and Possible Experiments , 1973, Zeitschrift fur Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie.

[36]  C. R. Benatti,et al.  Curvature and bending constants for phosphatidylserine-containing membranes. , 2003, Biophysical journal.

[37]  J. P. Grossman,et al.  Anton, a special-purpose machine for molecular dynamics simulation , 2008, CACM.

[38]  R. Dror,et al.  Gaussian split Ewald: A fast Ewald mesh method for molecular simulation. , 2005, The Journal of chemical physics.

[39]  J. Nagle,et al.  Structure of lipid bilayers. , 2000, Biochimica et biophysica acta.

[40]  Alexander P Lyubartsev,et al.  Another Piece of the Membrane Puzzle: Extending Slipids Further. , 2013, Journal of chemical theory and computation.

[41]  Sagar A. Pandit,et al.  Mixing properties of sphingomyelin ceramide bilayers: a simulation study. , 2012, The journal of physical chemistry. B.

[42]  Alexander D. MacKerell,et al.  Understanding the dielectric properties of liquid amides from a polarizable force field. , 2008, The journal of physical chemistry. B.

[43]  Eric Jakobsson,et al.  Structure of sphingomyelin bilayers: a simulation study. , 2003, Biophysical journal.

[44]  Alexander D. MacKerell,et al.  Chapter 1 Considerations for Lipid Force Field Development , 2008 .

[45]  J. Nagle,et al.  Effects of ether vs. ester linkage on lipid bilayer structure and water permeability. , 2009, Chemistry and physics of lipids.

[46]  W. V. van Gunsteren,et al.  A fast SHAKE algorithm to solve distance constraint equations for small molecules in molecular dynamics simulations , 2001 .

[47]  I. Bivas,et al.  Temperature and Chain Length Effects on Bending Elasticity of Phosphatidylcholine Bilayers , 1994 .

[48]  E. Evans,et al.  Back to the future: mechanics and thermodynamics of lipid biomembranes. , 2013, Faraday discussions.

[49]  D. Marsh,et al.  Elastic curvature constants of lipid monolayers and bilayers. , 2006, Chemistry and physics of lipids.

[50]  J. Seelig,et al.  The dynamic structure of fatty acyl chains in a phospholipid bilayer measured by deuterium magnetic resonance. , 1974, Biochemistry.

[51]  M. Bloom,et al.  Correlation between lipid plane curvature and lipid chain order. , 1996, Biophysical journal.

[52]  Hoover,et al.  Canonical dynamics: Equilibrium phase-space distributions. , 1985, Physical review. A, General physics.

[53]  A. Herrmann,et al.  Characterization of the ternary mixture of sphingomyelin, POPC, and cholesterol: support for an inhomogeneous lipid distribution at high temperatures. , 2008, Biophysical journal.

[54]  Alexander D. MacKerell,et al.  All-atom empirical potential for molecular modeling and dynamics studies of proteins. , 1998, The journal of physical chemistry. B.

[55]  G. Meer,et al.  Membrane lipids: where they are and how they behave , 2008, Nature Reviews Molecular Cell Biology.

[56]  T. Róg,et al.  Cholesterol-sphingomyelin interactions: a molecular dynamics simulation study. , 2006, Biophysical journal.

[57]  Alexander D. MacKerell,et al.  Optimization of the additive CHARMM all-atom protein force field targeting improved sampling of the backbone φ, ψ and side-chain χ(1) and χ(2) dihedral angles. , 2012, Journal of chemical theory and computation.

[58]  Alexander D. MacKerell,et al.  Automated conformational energy fitting for force-field development , 2008, Journal of molecular modeling.

[59]  T. E. Thompson,et al.  A nuclear magnetic resonance study of sphingomyelin in bilayer systems. , 1977, Biochemistry.