Sequence- and Temperature-Dependent Properties of Unfolded and Disordered Proteins from Atomistic Simulations.

We use all-atom molecular simulation with explicit solvent to study the properties of selected intrinsically disordered proteins and unfolded states of foldable proteins, which include chain dimensions and shape, secondary structure propensity, solvent accessible surface area, and contact formation. We find that the qualitative scaling behavior of the chains matches expectations from theory under ambient conditions. In particular, unfolded globular proteins tend to be more collapsed under the same conditions than charged disordered sequences of the same length. However, inclusion of explicit solvent in addition naturally captures temperature-dependent solvation effects, which results in an initial collapse of the chains as temperature is increased, in qualitative agreement with experiment. There is a universal origin to the collapse, revealed in the change of hydration of individual residues as a function of temperature: namely, that the initial collapse is driven by unfavorable solvation free energy of individual residues, which in turn has a strong temperature dependence. We also observe that in unfolded globular proteins, increased temperature also initially favors formation of native-like (rather than non-native-like) structure. Our results help to establish how sequence encodes the degree of intrinsic disorder or order as well as its response to changes in environmental conditions.

[1]  A M Lesk,et al.  Interior and surface of monomeric proteins. , 1987, Journal of molecular biology.

[2]  C. Dobson,et al.  Mapping long-range interactions in alpha-synuclein using spin-label NMR and ensemble molecular dynamics simulations. , 2005, Journal of the American Chemical Society.

[3]  Albert H. Mao,et al.  Role of backbone-solvent interactions in determining conformational equilibria of intrinsically disordered proteins. , 2008, Journal of the American Chemical Society.

[4]  H. Orland,et al.  Phase diagram of a semiflexible polymer chain in a θ solvent: Application to protein folding , 1995, cond-mat/9512058.

[5]  E. Kondrashkina,et al.  Microsecond Hydrophobic Collapse in the Folding of Escherichia coli Dihydrofolate Reductase, an α/β-Type Protein , 2007 .

[6]  R. Pappu,et al.  An intrinsically disordered linker plays a critical role in bacterial cell division. , 2015, Seminars in cell & developmental biology.

[7]  V. Uversky Natively unfolded proteins: A point where biology waits for physics , 2002, Protein science : a publication of the Protein Society.

[8]  J. Udgaonkar,et al.  Characterization of intra-molecular distances and site-specific dynamics in chemically unfolded barstar: evidence for denaturant-dependent non-random structure. , 2006, Journal of molecular biology.

[9]  P. Jemth,et al.  Helical propensity in an intrinsically disordered protein accelerates ligand binding. , 2014, Angewandte Chemie.

[10]  M. Gruebele,et al.  On the extended β-conformation propensity of polypeptides at high temperature , 2003 .

[11]  C. Dobson Unfolded proteins, compact states and molten globules: Current Opinion in Structural Biology 1992, 2:6–12 , 1992 .

[12]  B. Schuler,et al.  Unfolded protein and peptide dynamics investigated with single-molecule FRET and correlation spectroscopy from picoseconds to seconds. , 2008, The journal of physical chemistry. B.

[13]  D. Shortle,et al.  Persistence of Native-Like Topology in a Denatured Protein in 8 M Urea , 2001, Science.

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

[15]  Martin Blackledge,et al.  Mapping the potential energy landscape of intrinsically disordered proteins at amino acid resolution. , 2012, Journal of the American Chemical Society.

[16]  G D Rose,et al.  Modeling unfolded states of peptides and proteins. , 1995, Biochemistry.

[17]  R. Best,et al.  Protein simulations with an optimized water model: cooperative helix formation and temperature-induced unfolded state collapse. , 2010, The journal of physical chemistry. B.

[18]  Frank Küster,et al.  Single-molecule spectroscopy of the temperature-induced collapse of unfolded proteins , 2009, Proceedings of the National Academy of Sciences.

[19]  C. Vega,et al.  A general purpose model for the condensed phases of water: TIP4P/2005. , 2005, The Journal of chemical physics.

[20]  M. Lewitzky,et al.  Conformational recognition of an intrinsically disordered protein. , 2014, Biophysical journal.

[21]  R. Best,et al.  Modest influence of FRET chromophores on the properties of unfolded proteins. , 2014, Biophysical journal.

[22]  Guy Ziv,et al.  Protein folding, protein collapse, and tanford's transfer model: lessons from single-molecule FRET. , 2009, Journal of the American Chemical Society.

[23]  K. Plaxco,et al.  Small-angle X-ray scattering and single-molecule FRET spectroscopy produce highly divergent views of the low-denaturant unfolded state. , 2012, Journal of molecular biology.

[24]  Martin Blackledge,et al.  NMR characterization of long-range order in intrinsically disordered proteins. , 2010, Journal of the American Chemical Society.

[25]  K. Lindorff-Larsen,et al.  Structure and dynamics of an unfolded protein examined by molecular dynamics simulation. , 2012, Journal of the American Chemical Society.

[26]  R. Pappu,et al.  Conformations of intrinsically disordered proteins are influenced by linear sequence distributions of oppositely charged residues , 2013, Proceedings of the National Academy of Sciences.

[27]  G. Rose,et al.  Assessing the solvent-dependent surface area of unfolded proteins using an ensemble model , 2008, Proceedings of the National Academy of Sciences.

[28]  Paul J. Flory,et al.  The Configuration of Real Polymer Chains , 1949 .

[29]  D. Eliezer,et al.  Conformational properties of alpha-synuclein in its free and lipid-associated states. , 2001, Journal of molecular biology.

[30]  C. Dobson Protein folding and misfolding , 2003, Nature.

[31]  T. Kiefhaber,et al.  End-to-end distance distributions and intrachain diffusion constants in unfolded polypeptide chains indicate intramolecular hydrogen bond formation , 2006, Proceedings of the National Academy of Sciences.

[32]  Caitlin L. Chicoine,et al.  Net charge per residue modulates conformational ensembles of intrinsically disordered proteins , 2010, Proceedings of the National Academy of Sciences.

[33]  Satoshi Takahashi,et al.  Collapse and search dynamics of apomyoglobin folding revealed by submillisecond observations of alpha-helical content and compactness. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[34]  H. Dyson,et al.  Intrinsically unstructured proteins: re-assessing the protein structure-function paradigm. , 1999, Journal of molecular biology.

[35]  R. Doolittle,et al.  A simple method for displaying the hydropathic character of a protein. , 1982, Journal of molecular biology.

[36]  Weihong Zhang,et al.  Residual Structures, Conformational Fluctuations, and Electrostatic Interactions in the Synergistic Folding of Two Intrinsically Disordered Proteins , 2012, PLoS Comput. Biol..

[37]  Alessandro Borgia,et al.  Polymer scaling laws of unfolded and intrinsically disordered proteins quantified with single-molecule spectroscopy , 2012, Proceedings of the National Academy of Sciences.

[38]  S. Radford,et al.  Partially unfolded states of beta(2)-microglobulin and amyloid formation in vitro. , 2000, Biochemistry.

[39]  W. Kabsch,et al.  Dictionary of protein secondary structure: Pattern recognition of hydrogen‐bonded and geometrical features , 1983, Biopolymers.

[40]  L. Reymond,et al.  Charge interactions can dominate the dimensions of intrinsically disordered proteins , 2010, Proceedings of the National Academy of Sciences.

[41]  R. Srinivasan,et al.  The Flory isolated-pair hypothesis is not valid for polypeptide chains: implications for protein folding. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[42]  Thomas M Truskett,et al.  Structural ensemble of an intrinsically disordered polypeptide. , 2013, The journal of physical chemistry. B.

[43]  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.

[44]  D. Goldenberg,et al.  Small-angle X-ray scattering of reduced ribonuclease A: effects of solution conditions and comparisons with a computational model of unfolded proteins. , 2008, Journal of molecular biology.

[45]  D. Raleigh,et al.  Thermodynamics and kinetics of non-native interactions in protein folding: a single point mutant significantly stabilizes the N-terminal domain of L9 by modulating non-native interactions in the denatured state. , 2004, Journal of molecular biology.

[46]  Carsten Kutzner,et al.  GROMACS 4:  Algorithms for Highly Efficient, Load-Balanced, and Scalable Molecular Simulation. , 2008, Journal of chemical theory and computation.

[47]  Robin S. Dothager,et al.  Fully reduced ribonuclease A does not expand at high denaturant concentration or temperature. , 2007, Journal of molecular biology.

[48]  K. Dill,et al.  Origins of structure in globular proteins. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[49]  D. Chandler Interfaces and the driving force of hydrophobic assembly , 2005, Nature.

[50]  Christian Griesinger,et al.  Quantitative determination of the conformational properties of partially folded and intrinsically disordered proteins using NMR dipolar couplings. , 2009, Structure.

[51]  K. Plaxco,et al.  Unfolded, yes, but random? Never! , 2001, Nature Structural Biology.

[52]  R. Pappu,et al.  Unmasking the roles of N- and C-terminal flanking sequences from exon 1 of huntingtin as modulators of polyglutamine aggregation , 2013, Proceedings of the National Academy of Sciences.

[53]  Lisa J Lapidus,et al.  How fast is protein hydrophobic collapse? , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[54]  Satoshi Takahashi,et al.  Specific collapse followed by slow hydrogen-bond formation of beta-sheet in the folding of single-chain monellin. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[55]  G. Rose,et al.  Modeling unfolded states of proteins and peptides. II. Backbone solvent accessibility. , 1997, Biochemistry.

[56]  D. Weis,et al.  Mapping Residual Structure in Intrinsically Disordered Proteins at Residue Resolution Using Millisecond Hydrogen/Deuterium Exchange and Residue Averaging , 2015, Journal of The American Society for Mass Spectrometry.

[57]  R. Best,et al.  Balanced Protein–Water Interactions Improve Properties of Disordered Proteins and Non-Specific Protein Association , 2014, Journal of chemical theory and computation.

[58]  Robert B Best,et al.  Temperature-dependent solvation modulates the dimensions of disordered proteins , 2014, Proceedings of the National Academy of Sciences.

[59]  D. Eliezer,et al.  Biophysical characterization of intrinsically disordered proteins. , 2009, Current opinion in structural biology.

[60]  Jeetain Mittal,et al.  Molecular simulations indicate marked differences in the structure of amylin mutants, correlated with known aggregation propensity. , 2013, The journal of physical chemistry. B.

[61]  W. Eaton,et al.  Characterizing the unfolded states of proteins using single-molecule FRET spectroscopy and molecular simulations , 2007, Proceedings of the National Academy of Sciences.

[62]  Rohit V. Pappu,et al.  Experiments and simulations show how long-range contacts can form in expanded unfolded proteins with negligible secondary structure , 2013, Proceedings of the National Academy of Sciences.

[63]  Paul Robustelli,et al.  Water dispersion interactions strongly influence simulated structural properties of disordered protein states. , 2015, The journal of physical chemistry. B.

[64]  R. Pappu,et al.  Intrinsically disordered C-terminal tails of E. coli single-stranded DNA binding protein regulate cooperative binding to single-stranded DNA. , 2015, Journal of molecular biology.

[65]  W. Eaton,et al.  Probing the free-energy surface for protein folding with single-molecule fluorescence spectroscopy , 2002, Nature.

[66]  Bonnie Berger,et al.  Opposing effects of glutamine and asparagine govern prion formation by intrinsically disordered proteins. , 2011, Molecular cell.

[67]  B. Fierz,et al.  Dynamics of unfolded polypeptide chains as model for the earliest steps in protein folding. , 2003, Journal of molecular biology.

[68]  Pau Bernadó,et al.  Sequence-specific solvent accessibilities of protein residues in unfolded protein ensembles. , 2006, Biophysical journal.

[69]  Martin von Bergen,et al.  Tau aggregation is driven by a transition from random coil to beta sheet structure. , 2005, Biochimica et biophysica acta.

[70]  Harold W. Hatch,et al.  Natively unfolded protein stability as a coil-to-globule transition in charge/hydropathy space. , 2008, Journal of the American Chemical Society.

[71]  Robin S. Dothager,et al.  Random-coil behavior and the dimensions of chemically unfolded proteins. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[72]  Eilon Sherman,et al.  Coil-globule transition in the denatured state of a small protein. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[73]  H. Dyson,et al.  Insights into the structure and dynamics of unfolded proteins from nuclear magnetic resonance. , 2002, Advances in protein chemistry.

[74]  Robert B. Best,et al.  A Preformed Binding Interface in the Unbound Ensemble of an Intrinsically Disordered Protein: Evidence from Molecular Simulations , 2012, PLoS Comput. Biol..

[75]  R. Seckler,et al.  Mapping protein collapse with single-molecule fluorescence and kinetic synchrotron radiation circular dichroism spectroscopy , 2006, Proceedings of the National Academy of Sciences.

[76]  Peter G Wolynes,et al.  Free energy landscapes for initiation and branching of protein aggregation , 2013, Proceedings of the National Academy of Sciences.

[77]  C. J. Bond,et al.  Towards a complete description of the structural and dynamic properties of the denatured state of barnase and the role of residual structure in folding. , 2000, Journal of molecular biology.

[78]  Benjamin Schuler,et al.  Ultrafast dynamics of protein collapse from single-molecule photon statistics , 2007, Proceedings of the National Academy of Sciences.

[79]  Micheal J. Tarver,et al.  Temperature effects on the hydrodynamic radius of the intrinsically disordered N‐terminal region of the p53 protein , 2014, Proteins.

[80]  J. Marsh,et al.  Sequence determinants of compaction in intrinsically disordered proteins. , 2010, Biophysical journal.

[81]  R. L. Baldwin,et al.  Are denatured proteins ever random coils? , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[82]  L. Serrano,et al.  A comparative study of the relationship between protein structure and beta-aggregation in globular and intrinsically disordered proteins. , 2004, Journal of molecular biology.