Simulated dynamics and biological macromolecules

We present a review of the use of molecular dynamics techniques to study the behaviour of proteins. The application of such methods to biological macromolecules has evolved directly from its use to study simpler physical and chemical systems. We describe the methods typically used in producing multiple nanosecond atomic trajectories. This technique is now so common that it is impossible to review the whole area. Therefore, we have focused on three areas, namely the application to proteins of biomedical importance, to folding of proteins from a random conformation to a stable well-defined tertiary structure and to the reverse process, that of unfolding. Finally, we describe some methods which have been developed to analyse complex trajectories with the aim of defining the most important features of protein dynamics and changes in conformation.

[1]  J. Andrew McCammon,et al.  The structure of liquid water at an extended hydrophobic surface , 1984 .

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

[3]  V. Daggett,et al.  Long timescale simulations. , 2000, Current opinion in structural biology.

[4]  L Serrano,et al.  Favourable native-like helical local interactions can accelerate protein folding. , 1997, Folding & design.

[5]  M. Karplus,et al.  Interpreting the folding kinetics of helical proteins , 1999, Nature.

[6]  Amedeo Caflisch,et al.  Targeted Molecular Dynamics Simulations of Protein Unfolding , 2000 .

[7]  M Karplus,et al.  Is protein unfolding the reverse of protein folding? A lattice simulation analysis. , 1999, Journal of molecular biology.

[8]  P. Kollman,et al.  A well-behaved electrostatic potential-based method using charge restraints for deriving atomic char , 1993 .

[9]  D. Pérahia,et al.  Unfolding of hen egg lysozyme by molecular dynamics simulations at 300K: Insight into the role of the interdomain interface , 2000, Proteins.

[10]  Peter A. Kollman,et al.  Theoretical Studies Suggest a New Antifolate as a More Potent Inhibitor of Thymidylate Synthase , 2000 .

[11]  H. Berendsen,et al.  Computer simulation of the dynamics of hydrated protein crystals and its comparison with x-ray data. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[12]  F. Bushman,et al.  Developing a dynamic pharmacophore model for HIV-1 integrase. , 2000, Journal of medicinal chemistry.

[13]  A Kitao,et al.  Energy landscape of a native protein: Jumping‐among‐minima model , 1998, Proteins.

[14]  J. Hofrichter,et al.  Diffusion-limited contact formation in unfolded cytochrome c: estimating the maximum rate of protein folding. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[15]  J. Skolnick,et al.  Monte carlo simulations of protein folding. I. Lattice model and interaction scheme , 1994, Proteins.

[16]  D. Thirumalai,et al.  Deciphering the timescales and mechanisms of protein folding using minimal off-lattice models. , 1999, Current opinion in structural biology.

[17]  K. Schulten,et al.  The key event in force-induced unfolding of Titin's immunoglobulin domains. , 2000, Biophysical journal.

[18]  Simulation studies on bacteriorhodopsin α-helices , 2000, European Biophysics Journal.

[19]  M. Sansom Potassium channels: Watching a voltage-sensor tilt and twist , 2000, Current Biology.

[20]  M. Levitt,et al.  Molecular dynamics of native protein. I. Computer simulation of trajectories. , 1983, Journal of molecular biology.

[21]  H. Berendsen,et al.  Molecular dynamics simulations of Leu-enkephalin in water and DMSO. , 1997, Biophysical journal.

[22]  H J Berendsen,et al.  Computer simulations of the dynamics of human choriogonadotropin and its α subunit , 1999, Proteins.

[23]  M. Jarrold,et al.  Molecular dynamics simulations of the charge-induced unfolding and refolding of unsolvated cytochrome c , 1999 .

[24]  A. V. Orekhov,et al.  Mechanism of the Unfolding of Transmembrane α-Helical Segment (1−36)-Bacteriorhodopsin Studied by Molecular Dynamics Simulations , 1999 .

[25]  H. Berendsen,et al.  ALGORITHMS FOR MACROMOLECULAR DYNAMICS AND CONSTRAINT DYNAMICS , 1977 .

[26]  B. Speelman,et al.  Theoretical studies of viral capsid proteins. , 2000, Current opinion in structural biology.

[27]  J A McCammon,et al.  Molecular dynamics simulations of the hyperthermophilic protein sac7d from Sulfolobus acidocaldarius: contribution of salt bridges to thermostability. , 1999, Journal of molecular biology.

[28]  C L Brooks,et al.  Simulations of protein folding and unfolding. , 1998, Current opinion in structural biology.

[29]  K. Freed,et al.  Long-time dynamics of Met-enkephalin: comparison of theory with Brownian dynamics simulations. , 1999, Biophysical journal.

[30]  D. Baker,et al.  A surprising simplicity to protein folding , 2000, Nature.

[31]  E. Shakhnovich Theoretical studies of protein-folding thermodynamics and kinetics. , 1997, Current opinion in structural biology.

[32]  B. Roth,et al.  Differential modes of agonist binding to 5-hydroxytryptamine(2A) serotonin receptors revealed by mutation and molecular modeling of conserved residues in transmembrane region 5. , 2000, Molecular pharmacology.

[33]  T. Yamato,et al.  Molecular Dynamics of a 15-Residue Poly(l-alanine) in Water: Helix Formation and Energetics , 1999 .

[34]  S. Kazmirski,et al.  Non-native interactions in protein folding intermediates: molecular dynamics simulations of hen lysozyme. , 1998, Journal of molecular biology.

[35]  H. Berendsen,et al.  Essential dynamics of proteins , 1993, Proteins.

[36]  M. Sansom,et al.  Interactions of alpha-helices with lipid bilayers: a review of simulation studies. , 1999, Biophysical chemistry.

[37]  L. Stella,et al.  Molecular dynamics simulations of human glutathione transferase P1–1: Conformational fluctuations of the apo‐structure , 1999, Proteins.

[38]  P.-L. Chau,et al.  Functional concerted motions in the bovine serum retinol-binding protein , 1999, J. Comput. Aided Mol. Des..

[39]  A Rojnuckarin,et al.  Brownian dynamics simulations of protein folding: access to milliseconds time scale and beyond. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[40]  V. Muñoz,et al.  Submillisecond kinetics of protein folding. , 1997, Current opinion in structural biology.

[41]  B. Guillot,et al.  Investigation of the chemical potential by molecular dynamics simulation , 1985 .

[42]  Dusanka Janezic,et al.  Harmonic analysis of large systems. III. Comparison with molecular dynamics , 1995, J. Comput. Chem..

[43]  L. E. Chirlian,et al.  Atomic charges derived from electrostatic potentials: A detailed study , 1987 .

[44]  M S Sansom,et al.  Membrane simulations: bigger and better? , 2000, Current opinion in structural biology.

[45]  Matthias Otto,et al.  Chemometrics: Statistics and Computer Application in Analytical Chemistry , 1999 .

[46]  M. Levitt,et al.  Computer simulation of protein folding , 1975, Nature.

[47]  Donald E. Williams,et al.  Representation of the molecular electrostatic potential by a net atomic charge model , 1981 .

[48]  S. Kazmirski,et al.  Analysis methods for comparison of multiple molecular dynamics trajectories: applications to protein unfolding pathways and denatured ensembles. , 1999, Journal of molecular biology.

[49]  Molecular dynamics simulations of individual alpha-helices of bacteriorhodopsin in dimyristoylphosphatidylcholine. II. Interaction energy analysis. , 1998, Biophysical journal.

[50]  Jeremy C. Smith,et al.  Molecular Dynamics Simulation of the Cyclic Decapeptide Antibiotic, Gramicidin S, in Dimethyl Sulfoxide Solution , 1999 .

[51]  N. Go,et al.  Harmonicity and anharmonicity in protein dynamics: A normal mode analysis and principal component analysis , 1995, Proteins.

[52]  D. Tieleman,et al.  Structure and dynamics of the pore‐lining helix of the nicotinic receptor: MD simulations in water, lipid bilayers, and transbilayer bundles , 2000, Proteins.

[53]  J. Gready,et al.  Molecular dynamics simulation of human prion protein including both N-linked oligosaccharides and the GPI anchor. , 2000, Glycobiology.

[54]  L. Verlet Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions , 1968 .

[55]  N. Go,et al.  Computational analysis of thermal stability: effect of Ile-->Val mutations in human lysozyme. , 1998, Folding & design.

[56]  X. Daura,et al.  Folding–unfolding thermodynamics of a β‐heptapeptide from equilibrium simulations , 1999, Proteins.

[57]  E I Shakhnovich,et al.  Identifying the protein folding nucleus using molecular dynamics. , 1998, Journal of molecular biology.

[58]  P. Kollman,et al.  An approach to computing electrostatic charges for molecules , 1984 .

[59]  Karplus,et al.  Protein folding bottlenecks: A lattice Monte Carlo simulation. , 1991, Physical review letters.

[60]  M. Klein,et al.  The M2 channel of influenza A virus: a molecular dynamics study , 1998, FEBS letters.

[61]  J. M. Haile,et al.  Molecular dynamics simulation : elementary methods / J.M. Haile , 1992 .

[62]  A Wlodawer,et al.  Inhibitors of HIV-1 protease: a major success of structure-assisted drug design. , 1998, Annual review of biophysics and biomolecular structure.

[63]  M. Klein,et al.  Simulation of the HIV‐1 Vpu transmembrane domain as a pentameric bundle , 1998, FEBS letters.

[64]  M. Klein,et al.  Constant-pressure molecular dynamics investigation of cholesterol effects in a dipalmitoylphosphatidylcholine bilayer. , 1998, Biophysical journal.

[65]  Kenneth M. Merz,et al.  Stability and Activity of Mesophilic Subtilisin E and Its Thermophilic Homolog: Insights from Molecular Dynamics Simulations , 1999 .

[66]  J. Gready,et al.  Molecular dynamics simulations of human prion protein: importance of correct treatment of electrostatic interactions. , 1999, Biochemistry.

[67]  I. Shrivastava,et al.  Simulations of ion permeation through a potassium channel: molecular dynamics of KcsA in a phospholipid bilayer. , 2000, Biophysical journal.

[68]  W. F. Gunsteren,et al.  β-Hairpin stability and folding: Molecular dynamics studies of the first β-hairpin of tendamistat , 2000 .

[69]  R. Sharon,et al.  Accurate simulation of protein dynamics in solution. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[70]  A. Caflisch,et al.  Folding simulations of a three-stranded antiparallel β-sheet peptide , 2000 .

[71]  Molecular dynamics simulation of a rhinovirus capsid under rotational symmetry boundary conditions , 1996 .

[72]  C. Fenselau,et al.  Molecular dynamics simulation of metallothionein-drug complexes. , 2000, Drug metabolism and disposition: the biological fate of chemicals.

[73]  H. Berendsen,et al.  A comparison of techniques for calculating protein essential dynamics , 1997 .

[74]  Vithal M. Kulkarni,et al.  Structure Based Prediction of Binding Affinity of Human Immunodeficiency Virus-1 Protease Inhibitors , 1999, J. Chem. Inf. Comput. Sci..

[75]  O. Olsen,et al.  Molecular dynamics simulations of protein-tyrosine phosphatase 1B. II. substrate-enzyme interactions and dynamics. , 2000, Biophysical journal.

[76]  P. P. Ewald Die Berechnung optischer und elektrostatischer Gitterpotentiale , 1921 .

[77]  N Go,et al.  Projection of monte carlo and molecular dynamics trajectories onto the normal mode axes: Human lysozyme , 1991, Proteins.

[78]  J. Goodfellow,et al.  Simulations of human lysozyme: probing the conformations triggering amyloidosis. , 2003, Biophysical journal.

[79]  T. Straatsma,et al.  Similarities in the HIV-1 and ASV integrase active sites upon metal cofactor binding. , 2000, Biopolymers.

[80]  Peter A. Kollman,et al.  A Ligand That Is Predicted to Bind Better to Avidin than Biotin: Insights from Computational Fluorine Scanning , 2000 .

[81]  M. Karplus,et al.  Active site dynamics in protein molecules: A stochastic boundary molecular‐dynamics approach , 1985, Biopolymers.

[82]  P. Kollman,et al.  Pathways to a protein folding intermediate observed in a 1-microsecond simulation in aqueous solution. , 1998, Science.

[83]  B. Alder,et al.  Phase Transition for a Hard Sphere System , 1957 .

[84]  Christopher M. Dobson,et al.  Instability, unfolding and aggregation of human lysozyme variants underlying amyloid fibrillogenesis , 1997, Nature.

[85]  D. Baker,et al.  Matching theory and experiment in protein folding. , 1999, Current opinion in structural biology.

[86]  H. Berendsen,et al.  A molecular dynamics study of the pores formed by Escherichia coli OmpF porin in a fully hydrated palmitoyloleoylphosphatidylcholine bilayer. , 1998, Biophysical journal.

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

[88]  K. Schulten,et al.  Principal Component Analysis and Long Time Protein Dynamics , 1996 .

[89]  Cezary Czaplewski,et al.  Essential dynamics/factor analysis for the interpretation of molecular dynamics trajectories , 1999, J. Comput. Aided Mol. Des..

[90]  D. Case,et al.  Dynamics of a type VI reverse turn in a linear peptide in aqueous solution. , 1997, Folding & design.

[91]  M Karplus,et al.  Protein folding dynamics: The diffusion‐collision model and experimental data , 1994, Protein science : a publication of the Protein Society.

[92]  V. Pande,et al.  Dynamic lattice Monte Carlo simulation of a model protein at an oil/water interface , 2000 .

[93]  J. Smith,et al.  Dynamic simulation of the mouse prion protein. , 2000, Biopolymers.

[94]  Dennis M. Newns,et al.  Molecular dynamics study of structure and gating of low molecular weight ion channels , 2000, Parallel Comput..

[95]  V. Daggett,et al.  Staphylococcal protein A: unfolding pathways, unfolded states, and differences between the B and E domains. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[96]  A. Pohorille,et al.  Early events in the folding of an amphipathic peptide: A multinanosecond molecular dynamics study , 1999, Proteins.

[97]  Marek Cieplak,et al.  Molecular dynamics of folding of secondary structures in Go-type models of proteins , 1999, cond-mat/9911488.

[98]  S. Doughty,et al.  Molecular Modelling of Human DT-Diaphorase For Enzyme-Directed Bioreductive Drug Design , 2000 .

[99]  Haruki Nakamura,et al.  β-hairpin folds by molecular dynamics simulations , 2000 .

[100]  T. Darden,et al.  A smooth particle mesh Ewald method , 1995 .

[101]  A. Pohorille,et al.  Folding and translocation of the undecamer of poly-L-leucine across the water-hexane interface. A molecular dynamics study. , 1998, Journal of the American Chemical Society.

[102]  Valerie Daggett,et al.  Molecular dynamics simulations of hydrophobic collapse of ubiquitin , 1998, Protein science : a publication of the Protein Society.

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

[104]  N. Go,et al.  Investigating protein dynamics in collective coordinate space. , 1999, Current opinion in structural biology.

[105]  T. Woolf Bacteriorhodopsin α‐helices in lipid settings: Insights for structure prediction , 1998 .

[106]  J. Åqvist Long‐range electrostatic effects on peptide folding , 1999, FEBS letters.

[107]  S. Radford,et al.  Kinetic studies of β-sheet protein folding , 1998 .

[108]  L Wang,et al.  The early stage of folding of villin headpiece subdomain observed in a 200-nanosecond fully solvated molecular dynamics simulation. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[109]  L. V. Woodcock Isothermal molecular dynamics calculations for liquid salts , 1971 .

[110]  A. Mark,et al.  Computational approaches to study protein unfolding: Hen egg white lysozyme as a case study , 1995, Proteins.

[111]  N. Go,et al.  Studies on protein folding, unfolding and fluctuations by computer simulation. I. The effect of specific amino acid sequence represented by specific inter-unit interactions. , 2009 .

[112]  Xiongwu Wu,et al.  Folding studies of a linear pentamer peptide adopting a reverse turn conformation in aqueous solution through molecular dynamics simulation , 2000 .

[113]  M. Karplus,et al.  Refolding of potato carboxypeptidase inhibitor by molecular dynamics simulations with disulfide bond constraints. , 1998, Journal of molecular biology.

[114]  H. Berendsen,et al.  Collective protein dynamics in relation to function. , 2000, Current opinion in structural biology.

[115]  S. Jackson,et al.  How do small single-domain proteins fold? , 1998, Folding & design.

[116]  M. Karplus,et al.  Dynamics of folded proteins , 1977, Nature.

[117]  Aneesur Rahman,et al.  Correlations in the Motion of Atoms in Liquid Argon , 1964 .

[118]  F. London,et al.  Zur Theorie und Systematik der Molekularkräfte , 1930 .

[119]  H. Berendsen,et al.  Molecular dynamics with coupling to an external bath , 1984 .

[120]  Xiongwu Wu,et al.  Molecular dynamics simulations of synthetic peptide folding , 1996, Proteins.

[121]  Lisa J. Lapidus,et al.  Fast kinetics and mechanisms in protein folding. , 2000, Annual review of biophysics and biomolecular structure.

[122]  J. Apostolakis,et al.  Thermodynamics and Kinetics of Folding of Two Model Peptides Investigated by Molecular Dynamics Simulations , 2000 .

[123]  S. Feller,et al.  Molecular dynamics simulations of lipid bilayers , 2000 .

[124]  V. Muñoz,et al.  A statistical mechanical model for β-hairpin kinetics , 1998 .

[125]  Charles L. Brooks,et al.  Molecular picture of folding of a small α/β protein , 1998 .