Probing protein mechanics: residue-level properties and their use in defining domains.

It is becoming clear that, in addition to structural properties, the mechanical properties of proteins can play an important role in their biological activity. It nevertheless remains difficult to probe these properties experimentally. Whereas single-molecule experiments give access to overall mechanical behavior, notably the impact of end-to-end stretching, it is currently impossible to directly obtain data on more local properties. We propose a theoretical method for probing the mechanical properties of protein structures at the single-amino acid level. This approach can be applied to both all-atom and simplified protein representations. The probing leads to force constants for local deformations and to deformation vectors indicating the paths of least mechanical resistance. It also reveals the mechanical coupling that exists between residues. Results obtained for a variety of proteins show that the calculated force constants vary over a wide range. An analysis of the induced deformations provides information that is distinct from that obtained with measures of atomic fluctuations and is more easily linked to residue-level properties than normal mode analyses or dynamic trajectories. It is also shown that the mechanical information obtained by residue-level probing opens a new route for defining so-called dynamical domains within protein structures.

[1]  R Lavery,et al.  Local DNA stretching mimics the distortion caused by the TATA box-binding protein. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[2]  J. Pandit,et al.  Three-dimensional structures of the periplasmic lysine/arginine/ornithine-binding protein with and without a ligand. , 1994, The Journal of biological chemistry.

[3]  Jane Clarke,et al.  Hidden complexity in the mechanical properties of titin , 2003, Nature.

[4]  R Lavery,et al.  Modeling DNA deformations induced by minor groove binding proteins. , 1999, Biopolymers.

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

[6]  W E Stites,et al.  Increasing the thermostability of staphylococcal nuclease: implications for the origin of protein thermostability. , 2000, Journal of molecular biology.

[7]  H. Kamikubo,et al.  Role of C‐terminal region of Staphylococcal nuclease for foldability, stability, and activity , 2002, Proteins.

[8]  Emanuele Paci,et al.  Pulling geometry defines the mechanical resistance of a β-sheet protein , 2003, Nature Structural Biology.

[9]  I. Bahar,et al.  Gaussian Dynamics of Folded Proteins , 1997 .

[10]  Robert L Jernigan,et al.  Myosin flexibility: Structural domains and collective vibrations , 2004, Proteins.

[11]  D. Bensimon Force: a new structural control parameter? , 1996, Structure.

[12]  V S Pande,et al.  Mechanical unfolding of a beta-hairpin using molecular dynamics. , 2000, Biophysical journal.

[13]  Sherry L. Mowbray,et al.  Probing protein-protein interactions. The ribose-binding protein in bacterial transport and chemotaxis. , 1995 .

[14]  R. Lavery,et al.  Unraveling proteins: a molecular mechanics study. , 1999, Biophysical journal.

[15]  Yue Li,et al.  Crystal structure of unligated guanylate kinase from yeast reveals GMP-induced conformational changes. , 2001, Journal of molecular biology.

[16]  A M Lesk,et al.  Mechanisms of domain closure in proteins. , 1984, Journal of molecular biology.

[17]  R L Jernigan,et al.  Cooperative fluctuations and subunit communication in tryptophan synthase. , 1999, Biochemistry.

[18]  D. Barford,et al.  Crystal structure of the M‐fragment of α‐catenin: implications for modulation of cell adhesion , 2001, The EMBO journal.

[19]  Frances M. G. Pearl,et al.  The CATH domain structure database. , 2005, Methods of biochemical analysis.

[20]  O. Keskin Comparison of Full-atomic and Coarse-grained Models to Examine the Molecular Fluctuations of c-AMP Dependent Protein Kinase , 2002, Journal of biomolecular structure & dynamics.

[21]  B. Halle,et al.  Flexibility and packing in proteins , 2002, Proceedings of the National Academy of Sciences of the United States of America.

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

[23]  Heinz Sklenar,et al.  JUMNA (junction minimisation of nucleic acids) , 1995 .

[24]  R. Lavery,et al.  DNA: An Extensible Molecule , 1996, Science.

[25]  K. Hinsen,et al.  Tertiary and quaternary conformational changes in aspartate transcarbamylase: a normal mode study , 1999, Proteins.

[26]  Tirion,et al.  Large Amplitude Elastic Motions in Proteins from a Single-Parameter, Atomic Analysis. , 1996, Physical review letters.

[27]  Ivet Bahar,et al.  Functional motions of influenza virus hemagglutinin: a structure-based analytical approach. , 2002, Biophysical journal.

[28]  M B Swindells,et al.  A procedure for the automatic determination of hydrophobic cores in protein structures , 1995, Protein science : a publication of the Protein Society.

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

[30]  Richard Lavery,et al.  Structure and mechanics of single biomolecules: experiment and simulation , 2002 .

[31]  A. Lesk,et al.  Structural mechanisms for domain movements in proteins. , 1994, Biochemistry.

[32]  T. N. Bhat,et al.  The Protein Data Bank , 2000, Nucleic Acids Res..

[33]  H. Berendsen,et al.  Model‐free methods of analyzing domain motions in proteins from simulation: A comparison of normal mode analysis and molecular dynamics simulation of lysozyme , 1997, Proteins.

[34]  C. Bustamante,et al.  Ten years of tension: single-molecule DNA mechanics , 2003, Nature.

[35]  Emanuele Paci,et al.  Pulling geometry defines the mechanical resistance of a beta-sheet protein. , 2003, Nature structural biology.

[36]  Michael D. Stone,et al.  Structural transitions and elasticity from torque measurements on DNA , 2003, Nature.

[37]  H Weinstein,et al.  Modeling multi-component protein-DNA complexes: the role of bending and dimerization in the complex of p53 dimers with DNA. , 2001, Protein engineering.

[38]  K. Hinsen,et al.  Analysis of domain motions in large proteins , 1999, Proteins.

[39]  K. Hinsen Analysis of domain motions by approximate normal mode calculations , 1998, Proteins.

[40]  A. Atilgan,et al.  Direct evaluation of thermal fluctuations in proteins using a single-parameter harmonic potential. , 1997, Folding & design.

[41]  T. Blundell,et al.  X-ray analyses of aspartic proteinases. II. Three-dimensional structure of the hexagonal crystal form of porcine pepsin at 2.3 A resolution. , 1990, Journal of molecular biology.

[42]  Ivet Bahar,et al.  Dynamics of proteins predicted by molecular dynamics simulations and analytical approaches: Application to α‐amylase inhibitor , 2000, Proteins.

[43]  R Lavery,et al.  Stretched and overwound DNA forms a Pauling-like structure with exposed bases. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[44]  Junmei Wang,et al.  How well does a restrained electrostatic potential (RESP) model perform in calculating conformational energies of organic and biological molecules? , 2000, J. Comput. Chem..

[45]  W E Stites,et al.  Packing is a key selection factor in the evolution of protein hydrophobic cores. , 2001, Biochemistry.

[46]  T. Blundell,et al.  Structure of the bovine eye lens protein γB(γII)‐crystallin at 1.47 Å , 1993 .

[47]  A Ikai,et al.  Spring mechanics of alpha-helical polypeptide. , 2000, Protein engineering.

[48]  T L Blundell,et al.  X-ray analyses of aspartic proteinases. III Three-dimensional structure of endothiapepsin complexed with a transition-state isostere inhibitor of renin at 1.6 A resolution. , 1990, Journal of molecular biology.

[49]  S L Mowbray,et al.  Multiple open forms of ribose-binding protein trace the path of its conformational change. , 1998, Journal of molecular biology.

[50]  S. Smith,et al.  Folding-unfolding transitions in single titin molecules characterized with laser tweezers. , 1997, Science.

[51]  A. Ikai,et al.  Molecular dynamics study of mechanical extension of polyalanine by AFM cantilever , 2002 .

[52]  P. Kollman,et al.  Molecular Dynamics Simulations on Solvated Biomolecular Systems: The Particle Mesh Ewald Method Leads to Stable Trajectories of DNA, RNA, and Proteins , 1995 .

[53]  Hui Lu,et al.  The mechanical stability of ubiquitin is linkage dependent , 2003, Nature Structural Biology.

[54]  R. M. Simmons,et al.  Elasticity and unfolding of single molecules of the giant muscle protein titin , 1997, Nature.

[55]  D. Case,et al.  Theory and applications of the generalized born solvation model in macromolecular simulations , 2000, Biopolymers.

[56]  M. Ikura,et al.  Structural basis of calcium-induced E-cadherin rigidification and dimerization , 1996, Nature.

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

[58]  M. Rief,et al.  Reversible unfolding of individual titin immunoglobulin domains by AFM. , 1997, Science.

[59]  C Chothia,et al.  Domains in proteins: definitions, location, and structural principles. , 1985, Methods in enzymology.

[60]  R. Lavery,et al.  A molecular model for RecA-promoted strand exchange via parallel triple-stranded helices. , 1999, Biophysical journal.

[61]  A. Ikai,et al.  Spring mechanics of α-helical polypeptide , 2000 .

[62]  K Schulten,et al.  Protein domain movements: detection of rigid domains and visualization of hinges in comparisons of atomic coordinates , 1997, Proteins.

[63]  Barry Isralewitz,et al.  Large scale simulation of protein mechanics and function. , 2003, Advances in protein chemistry.

[64]  S L Mowbray,et al.  Probing protein-protein interactions. The ribose-binding protein in bacterial transport and chemotaxis. , 1994, The Journal of biological chemistry.

[65]  P. Kollman,et al.  How well does a restrained electrostatic potential (RESP) model perform in calculating conformational energies of organic and biological molecules? , 2000 .

[66]  Vijay S. Pande,et al.  Mechanical Unfolding of a β-Hairpin Using Molecular Dynamics , 2000 .

[67]  F A Quiocho,et al.  Calmodulin structure refined at 1.7 A resolution. , 1992, Journal of molecular biology.