Molecular dynamics simulations of lipid nanodiscs.

A lipid nanodisc is a discoidal lipid bilayer stabilized by proteins, peptides, or polymers on its edge. Nanodiscs have two important connections to structural biology. The first is associated with high-density lipoprotein (HDL), a particle with a variety of functionalities including lipid transport. Nascent HDL (nHDL) is a nanodisc stabilized by Apolipoprotein A-I (APOA1). Determining the structure of APOA1 and its mimetic peptides in nanodiscs is crucial to understanding pathologies related to HDL maturation and designing effective therapies. Secondly, nanodiscs offer non-detergent membrane-mimicking environments and greatly facilitate structural studies of membrane proteins. Although seemingly similar, natural and synthetic nanodiscs are different in that nHDL is heterogeneous in size, due to APOA1 elasticity, and gradually matures to become spherical. Synthetic nanodiscs, in contrast, should be homogenous, stable, and size-tunable. This report reviews previous molecular dynamics (MD) simulation studies of nanodiscs and illustrates convergence and accuracy issues using results from new multi-microsecond atomistic MD simulations. These new simulations reveal that APOA1 helices take 10-20 μs to rearrange on the nanodisc, while peptides take 2 μs to migrate from the disc surfaces to the edge. These systems can also become kinetically trapped depending on the initial conditions. For example, APOA1 was trapped in a biologically irrelevant conformation for the duration of a 10 μs trajectory; the peptides were similarly trapped for 5 μs. It therefore remains essential to validate MD simulations of these systems with experiments due to convergence and accuracy issues. This article is part of a Special Issue entitled: Emergence of Complex Behavior in Biomembranes edited by Marjorie Longo.

[1]  K. Schulten,et al.  Molecular models need to be tested: the case of a solar flares discoidal HDL model. , 2008, Biophysical journal.

[2]  Feifei Gu,et al.  Structures of Discoidal High Density Lipoproteins , 2009, The Journal of Biological Chemistry.

[3]  L. Arleth,et al.  Self-assembling peptides form nanodiscs that stabilize membrane proteins. , 2014, Soft matter.

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

[5]  Alexander D. MacKerell,et al.  Development of the CHARMM Force Field for Lipids. , 2011, The journal of physical chemistry letters.

[6]  James C. Phillips,et al.  Predicting the structure of apolipoprotein A-I in reconstituted high-density lipoprotein disks. , 1997, Biophysical journal.

[7]  Wonpil Im,et al.  Transmembrane helix assembly by window exchange umbrella sampling. , 2012, Physical review letters.

[8]  Volodymyr Babin,et al.  Adaptively biased molecular dynamics for free energy calculations. , 2007, The Journal of chemical physics.

[9]  Andreas Plückthun,et al.  Covalently circularized nanodiscs for studying membrane proteins and viral entry , 2016, Nature Methods.

[10]  W. Davidson,et al.  HDL-C vs HDL-P: how changing one letter could make a difference in understanding the role of high-density lipoprotein in disease. , 2014, Clinical chemistry.

[11]  J. Mongan,et al.  Accelerated molecular dynamics: a promising and efficient simulation method for biomolecules. , 2004, The Journal of chemical physics.

[12]  S C Harvey,et al.  Molecular dynamics on a model for nascent high-density lipoprotein: role of salt bridges. , 1999, Biophysical journal.

[13]  S. Hazen,et al.  A Systematic Investigation of Structure/Function Requirements for the Apolipoprotein A-I/Lecithin Cholesterol Acyltransferase Interaction Loop of High-density Lipoprotein* , 2016, The Journal of Biological Chemistry.

[14]  Klaus Schulten,et al.  Assembly of lipoprotein particles revealed by coarse-grained molecular dynamics simulations. , 2007, Journal of structural biology.

[15]  W. S. Davidson,et al.  A Consensus Model of Human Apolipoprotein A-I in its Monomeric and Lipid-free State , 2017, Nature Structural & Molecular Biology.

[16]  George M. Hilliard,et al.  A mass spectrometric determination of the conformation of dimeric apolipoprotein A-I in discoidal high density lipoproteins. , 2005, Biochemistry.

[17]  J. Ulmschneider Charged Antimicrobial Peptides Can Translocate across Membranes without Forming Channel-like Pores. , 2017, Biophysical journal.

[18]  P. Tavan,et al.  Ligand Binding: Molecular Mechanics Calculation of the Streptavidin-Biotin Rupture Force , 1996, Science.

[19]  B. Kingwell,et al.  HDL-targeted therapies: progress, failures and future , 2014, Nature Reviews Drug Discovery.

[20]  M. Klein,et al.  Constant pressure molecular dynamics algorithms , 1994 .

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

[22]  Y. Sugita,et al.  Replica-exchange molecular dynamics method for protein folding , 1999 .

[23]  Ilpo Vattulainen,et al.  Role of Lipids in Spheroidal High Density Lipoproteins , 2010, PLoS Comput. Biol..

[24]  S. Sligar,et al.  Nanodiscs as a new tool to examine lipid-protein interactions. , 2013, Methods in molecular biology.

[25]  Lei Zhang,et al.  Insights into the Tunnel Mechanism of Cholesteryl Ester Transfer Protein through All-atom Molecular Dynamics Simulations* , 2016, The Journal of Biological Chemistry.

[26]  Alexander D. MacKerell,et al.  Force field development and simulations of intrinsically disordered proteins. , 2018, Current opinion in structural biology.

[27]  F. Escobedo,et al.  Expanded ensemble and replica exchange methods for simulation of protein-like systems , 2003 .

[28]  R. Pastor,et al.  Identification of a novel lipid binding motif in apolipoprotein B by the analysis of hydrophobic cluster domains. , 2017, Biochimica et biophysica acta. Biomembranes.

[29]  Kurt Kremer,et al.  Tunable generic model for fluid bilayer membranes. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  W. Davidson,et al.  The Spatial Organization of Apolipoprotein A-I on the Edge of Discoidal High Density Lipoprotein Particles , 2003, Journal of Biological Chemistry.

[31]  B. Roux,et al.  Simulation of Osmotic Pressure in Concentrated Aqueous Salt Solutions , 2010 .

[32]  A. Remaley,et al.  Novel concepts in HDL pharmacology. , 2014, Cardiovascular research.

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

[34]  Michael J. Thomas,et al.  Conformational adaptation of apolipoprotein A-I to discretely sized phospholipid complexes. , 2007, Biochemistry.

[35]  Anthony E. Klon,et al.  A Detailed Molecular Belt Model for Apolipoprotein A-I in Discoidal High Density Lipoprotein* , 1999, The Journal of Biological Chemistry.

[36]  A. Martel,et al.  Dimeric peptides with three different linkers self-assemble with phospholipids to form peptide nanodiscs that stabilize membrane proteins. , 2016, Soft matter.

[37]  A. Jonas Reconstitution of high-density lipoproteins. , 1986, Methods in enzymology.

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

[39]  A. von Eckardstein,et al.  High-density lipoprotein cholesterol as a predictor of coronary heart disease risk. The PROCAM experience and pathophysiological implications for reverse cholesterol transport. , 1996, Atherosclerosis.

[40]  D. Tieleman,et al.  Perspective on the Martini model. , 2013, Chemical Society reviews.

[41]  S. Sligar,et al.  Chapter 11 - Reconstitution of membrane proteins in phospholipid bilayer nanodiscs. , 2009, Methods in enzymology.

[42]  G. Hummer,et al.  Divergent Diffusion Coefficients in Simulations of Fluids and Lipid Membranes. , 2016, The journal of physical chemistry. B.

[43]  H De Loof,et al.  Mean field stochastic boundary molecular dynamics simulation of a phospholipid in a membrane. , 1991, Biochemistry.

[44]  M. Cascella,et al.  Toward Chemically Resolved Computer Simulations of Dynamics and Remodeling of Biological Membranes. , 2017, The journal of physical chemistry letters.

[45]  J. Sumida,et al.  Membrane Fluidity Modulates Thermal Stability and Ligand Binding of Cytochrome P4503A4 in Lipid Nanodiscs. , 2016, Biochemistry.

[46]  R. Pastor,et al.  Tertiary structure of apolipoprotein A-I in nascent high-density lipoproteins , 2018, Proceedings of the National Academy of Sciences.

[47]  J. Segrest,et al.  MD simulations suggest important surface differences between reconstituted and circulating spherical HDL1[S] , 2013, Journal of Lipid Research.

[48]  B. Roux The calculation of the potential of mean force using computer simulations , 1995 .

[49]  I. Vattulainen,et al.  Low density lipoprotein: structure, dynamics, and interactions of apoB-100 with lipids , 2011 .

[50]  Robert L Wilensky,et al.  Cholesterol efflux capacity, high-density lipoprotein function, and atherosclerosis. , 2011, The New England journal of medicine.

[51]  I. Vattulainen,et al.  Interfacial tension and surface pressure of high density lipoprotein, low density lipoprotein, and related lipid droplets. , 2012, Biophysical journal.

[52]  S. Hazen,et al.  Congruency between biophysical data from multiple platforms and molecular dynamics simulation of the double-super helix model of nascent high-density lipoprotein. , 2010, Biochemistry.

[53]  Scott M. Gordon,et al.  High density lipoprotein: it's not just about lipid transport anymore , 2011, Trends in Endocrinology & Metabolism.

[54]  J. Segrest,et al.  Surface Density-Induced Pleating of a Lipid Monolayer Drives Nascent High-Density Lipoprotein Assembly. , 2015, Structure.

[55]  Bernard R Brooks,et al.  Efficient and Unbiased Sampling of Biomolecular Systems in the Canonical Ensemble: A Review of Self-Guided Langevin Dynamics. , 2012, Advances in chemical physics.

[56]  Peter Güntert,et al.  Solution structure of discoidal high-density lipoprotein particles with a shortened apolipoprotein A-I , 2016, Nature Structural &Molecular Biology.

[57]  A. Rigotti,et al.  Apolipoproteins of HDL can directly mediate binding to the scavenger receptor SR-BI, an HDL receptor that mediates selective lipid uptake. , 1997, Journal of lipid research.

[58]  H. Brewer,et al.  Synthetic amphipathic helical peptides promote lipid efflux from cells by an ABCA1-dependent and an ABCA1-independent pathway Published, JLR Papers in Press, January 16, 2003. DOI 10.1194/jlr.M200475-JLR200 , 2003, Journal of Lipid Research.

[59]  D. Sviridov,et al.  An Apolipoprotein A-I Mimetic Peptide Designed with a Reductionist Approach Stimulates Reverse Cholesterol Transport and Reduces Atherosclerosis in Mice , 2013, PloS one.

[60]  Y. Sugita,et al.  Multidimensional replica-exchange method for free-energy calculations , 2000, cond-mat/0009120.

[61]  Klaus Schulten,et al.  Coarse grained protein-lipid model with application to lipoprotein particles. , 2006, The journal of physical chemistry. B.

[62]  Songlin Li,et al.  Rotational and hinge dynamics of discoidal high density lipoproteins probed by interchain disulfide bond formation. , 2012, Biochimica et biophysica acta.

[63]  D. Sviridov,et al.  Apolipoprotein mimetic peptides: Mechanisms of action as anti-atherogenic agents. , 2011, Pharmacology & therapeutics.

[64]  Michael G. Lerner,et al.  Strong influence of periodic boundary conditions on lateral diffusion in lipid bilayer membranes. , 2015, The Journal of chemical physics.

[65]  Elena E. Dormidontova,et al.  Lipid Nanodisc-Templated Self-Assembly of Gold Nanoparticles into Strings and Rings. , 2017, ACS nano.

[66]  Anthony E. Klon,et al.  Molecular dynamics simulations on discoidal HDL particles suggest a mechanism for rotation in the apo A-I belt model. , 2002, Journal of molecular biology.

[67]  G. Assmann,et al.  The molecular pathology of lecithin:cholesterol acyltransferase (LCAT) deficiency syndromes. , 1997, Journal of lipid research.

[68]  B. Brooks,et al.  Self-guided Langevin dynamics simulation method , 2003 .

[69]  I. Vattulainen,et al.  Oxidation of cholesterol does not alter significantly its uptake into high-density lipoprotein particles. , 2015, The journal of physical chemistry. B.

[70]  R. Pastor,et al.  Structural properties of apolipoprotein A-I mimetic peptides that promote ABCA1-dependent cholesterol efflux , 2018, Scientific Reports.

[71]  R. Pastor,et al.  Mechanical properties of lipid bilayers from molecular dynamics simulation. , 2015, Chemistry and physics of lipids.

[72]  Feifei Gu,et al.  "Sticky" and "promiscuous", the yin and yang of apolipoprotein A-I termini in discoidal high-density lipoproteins: a combined computational-experimental approach. , 2011, Biochemistry.

[73]  Taehoon Kim,et al.  CHARMM‐GUI: A web‐based graphical user interface for CHARMM , 2008, J. Comput. Chem..

[74]  M. Nakano,et al.  Static and dynamic characterization of nanodiscs with apolipoprotein A-I and its model peptide. , 2010, The journal of physical chemistry. B.

[75]  J. Segrest,et al.  Dynamics of activation of lecithin:cholesterol acyltransferase by apolipoprotein A-I. , 2009, Biochemistry.

[76]  M. Orešič,et al.  Interfacial properties of high-density lipoprotein-like lipid droplets with different lipid and apolipoprotein A-I compositions. , 2013, Biophysical journal.

[77]  S. Nosé A unified formulation of the constant temperature molecular dynamics methods , 1984 .

[78]  A. Kusumi,et al.  ABCA1 dimer–monomer interconversion during HDL generation revealed by single-molecule imaging , 2013, Proceedings of the National Academy of Sciences.

[79]  M. Van Eck,et al.  Lecithin:cholesterol acyltransferase: old friend or foe in atherosclerosis? , 2012, Journal of Lipid Research.

[80]  Stefano Piana,et al.  Demonstrating an Order-of-Magnitude Sampling Enhancement in Molecular Dynamics Simulations of Complex Protein Systems. , 2016, Journal of chemical theory and computation.

[81]  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.

[82]  J. Engler,et al.  Crystal structure of truncated human apolipoprotein A-I suggests a lipid-bound conformation. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[83]  J. Ruysschaert,et al.  Investigation of the lipid domains and apolipoprotein orientation in reconstituted high density lipoproteins by fluorescence and IR methods. , 1990, The Journal of biological chemistry.

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

[85]  G. Wagner,et al.  Nonmicellar systems for solution NMR spectroscopy of membrane proteins. , 2010, Current opinion in structural biology.

[86]  J. P. Grossman,et al.  Anton 2: Raising the Bar for Performance and Programmability in a Special-Purpose Molecular Dynamics Supercomputer , 2014, SC14: International Conference for High Performance Computing, Networking, Storage and Analysis.

[87]  S. Sligar,et al.  Engineering extended membrane scaffold proteins for self-assembly of soluble nanoscale lipid bilayers. , 2010, Protein engineering, design & selection : PEDS.

[88]  J. Killian,et al.  The styrene–maleic acid copolymer: a versatile tool in membrane research , 2015, European Biophysics Journal.

[89]  G. Torrie,et al.  Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling , 1977 .

[90]  Lars V. Schäfer,et al.  Structure and Dynamics of Phospholipid Nanodiscs from All-Atom and Coarse-Grained Simulations. , 2015, The journal of physical chemistry. B.

[91]  I. Vattulainen,et al.  Atomistic simulations of phosphatidylcholines and cholesteryl esters in high-density lipoprotein-sized lipid droplet and trilayer: clues to cholesteryl ester transport and storage. , 2009, Biophysical journal.

[92]  Feifei Gu,et al.  Thermal stability of apolipoprotein A-I in high-density lipoproteins by molecular dynamics. , 2009, Biophysical journal.

[93]  K. Schulten,et al.  Steered molecular dynamics and mechanical functions of proteins. , 2001, Current opinion in structural biology.

[94]  X. Gong,et al.  Structure of the Human Lipid Exporter ABCA1 , 2017, Cell.

[95]  Marissa G. Saunders,et al.  Coarse-graining methods for computational biology. , 2013, Annual review of biophysics.

[96]  D. Tieleman,et al.  The MARTINI force field: coarse grained model for biomolecular simulations. , 2007, The journal of physical chemistry. B.

[97]  Artturi Koivuniemi,et al.  Revealing structural and dynamical properties of high density lipoproteins through molecular simulations , 2012 .

[98]  Bernard R. Brooks,et al.  Self‐guided Langevin dynamics via generalized Langevin equation , 2016, J. Comput. Chem..

[99]  A. Mark,et al.  Coarse grained model for semiquantitative lipid simulations , 2004 .

[100]  G. Anantharamaiah,et al.  Sequence conservation of apolipoprotein A-I affords novel insights into HDL structure-function , 2011, Journal of Lipid Research.

[101]  R. Brasseur,et al.  Association of synthetic peptide fragments of human apolipoprotein A-I with phospholipids. , 1995, Journal of lipid research.

[102]  S. Hazen,et al.  The refined structure of nascent HDL reveals a key functional domain for particle maturation and dysfunction , 2007, Nature Structural &Molecular Biology.

[103]  Helgi I. Ingólfsson,et al.  Lipid and Peptide Diffusion in Bilayers: The Saffman-Delbrück Model and Periodic Boundary Conditions. , 2017, The journal of physical chemistry. B.

[104]  S. Harvey,et al.  Novel changes in discoidal high density lipoprotein morphology: a molecular dynamics study. , 2006, Biophysical journal.

[105]  L. Mayne,et al.  Apolipoprotein A-I helical structure and stability in discoidal high-density lipoprotein (HDL) particles by hydrogen exchange and mass spectrometry , 2012, Proceedings of the National Academy of Sciences.

[106]  M. Sansom,et al.  Parallel helix bundles and ion channels: molecular modeling via simulated annealing and restrained molecular dynamics. , 1994, Biophysical journal.

[107]  Andrew Zgorski,et al.  Toward Hydrodynamics with Solvent Free Lipid Models: STRD Martini. , 2016, Biophysical journal.

[108]  A. Meister,et al.  Solubilization of Membrane Proteins into Functional Lipid‐Bilayer Nanodiscs Using a Diisobutylene/Maleic Acid Copolymer , 2017, Angewandte Chemie.

[109]  Perttu S. Niemelä,et al.  Structure of spheroidal HDL particles revealed by combined atomistic and coarse-grained simulations. , 2008, Biophysical journal.

[110]  Volker Dötsch,et al.  Modified lipid and protein dynamics in nanodiscs. , 2013, Biochimica et biophysica acta.

[111]  Klaus Schulten,et al.  Disassembly of nanodiscs with cholate. , 2007, Nano letters.

[112]  P. Axelsen,et al.  The Structure of Human Lipoprotein A-I , 1999, The Journal of Biological Chemistry.

[113]  G. Ciccotti,et al.  Numerical Integration of the Cartesian Equations of Motion of a System with Constraints: Molecular Dynamics of n-Alkanes , 1977 .

[114]  M. Nakano,et al.  Static and dynamic properties of phospholipid bilayer nanodiscs. , 2009, Journal of the American Chemical Society.

[115]  Michael J. Thomas,et al.  Intermolecular Contact between Globular N-terminal Fold and C-terminal Domain of ApoA-I Stabilizes Its Lipid-bound Conformation , 2005, Journal of Biological Chemistry.

[116]  B. Roux,et al.  Simulations of anionic lipid membranes: development of interaction-specific ion parameters and validation using NMR data. , 2013, The journal of physical chemistry. B.

[117]  G. Wagner,et al.  Optimized phospholipid bilayer nanodiscs facilitate high-resolution structure determination of membrane proteins. , 2013, Journal of the American Chemical Society.

[118]  A T Brünger,et al.  Automated modeling of coiled coils: application to the GCN4 dimerization region. , 1991, Protein engineering.

[119]  Bernard R. Brooks,et al.  Solvent-Induced Forces between Two Hydrophilic Groups , 1994 .

[120]  Stephen G. Sligar,et al.  Self-Assembly of Discoidal Phospholipid Bilayer Nanoparticles with Membrane Scaffold Proteins , 2002 .

[121]  Benoît Roux,et al.  Control of ion selectivity in LeuT: two Na+ binding sites with two different mechanisms. , 2008, Journal of molecular biology.

[122]  J. Segrest,et al.  Assessment of the Validity of the Double Superhelix Model for Reconstituted High Density Lipoproteins , 2010, The Journal of Biological Chemistry.

[123]  Kenneth M. Mackenzie,et al.  Accurate and efficient integration for molecular dynamics simulations at constant temperature and pressure. , 2013, The Journal of chemical physics.

[124]  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.

[125]  Richard W. Pastor,et al.  Molecular dynamics and Monte Carlo simulations of lipid bilayers , 1994 .

[126]  Helgi I Ingólfsson,et al.  Dry Martini, a coarse-grained force field for lipid membrane simulations with implicit solvent. , 2015, Journal of chemical theory and computation.

[127]  Klaus Schulten,et al.  Molecular dynamics simulations of discoidal bilayers assembled from truncated human lipoproteins. , 2005, Biophysical journal.

[128]  S. Sligar,et al.  Nanodiscs for structural and functional studies of membrane proteins , 2016, Nature Structural &Molecular Biology.

[129]  S. Hazen,et al.  Double Superhelix Model of High Density Lipoprotein* , 2009, The Journal of Biological Chemistry.

[130]  W. L. Jorgensen,et al.  Comparison of simple potential functions for simulating liquid water , 1983 .