Ultrafast dynamics of protein collapse from single-molecule photon statistics

We use the statistics of photon emission from single molecules to probe the ultrafast dynamics of an unfolded protein via Förster resonance energy transfer. Global reconfiguration of the chain occurs on a time scale of ≈50 ns and slows down concomitant with chain collapse under folding conditions. These diffusive dynamics provide a missing link between the phenomenological chemical kinetics commonly used in protein folding and a physical description in terms of quantitative free energy surfaces. The experiments demonstrate the potential of single-molecule methods in accessing the biologically important nanosecond time scales even in heterogeneous populations.

[1]  G. Fleming,et al.  Excitation Transfer in the Core Light-Harvesting Complex (LH-1) of Rhodobacter sphaeroides: An Ultrafast Fluorescence Depolarization and Annihilation Study , 1995 .

[2]  G. Ulrich Nienhaus,et al.  Single-molecule Förster resonance energy transfer study of protein dynamics under denaturing conditions , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[3]  G. Zumofen,et al.  Photon antibunching and collective effects in the fluorescence of single bichromophoric molecules. , 2003, Physical review letters.

[4]  M Dahan,et al.  Ratiometric single-molecule studies of freely diffusing biomolecules. , 2001, Annual review of physical chemistry.

[5]  T. Kiefhaber,et al.  The speed limit for protein folding measured by triplet-triplet energy transfer. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[6]  A. Fersht Structure and mechanism in protein science , 1998 .

[7]  Mohamed A. Marahiel,et al.  Conservation of rapid two-state folding in mesophilic, thermophilic and hyperthermophilic cold shock proteins , 1998, Nature Structural Biology.

[8]  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.

[9]  R. Rigler,et al.  Fluorescence correlation spectroscopy of triplet states in solution: a theoretical and experimental study , 1995 .

[10]  F. Gai,et al.  Nanosecond Folding Dynamics of a Three-Stranded β-Sheet , 2006 .

[11]  S. Edwards,et al.  The Theory of Polymer Dynamics , 1986 .

[12]  H. Kramers Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

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

[14]  Hideo Mabuchi,et al.  Photon statistics and dynamics of fluorescence resonance energy transfer. , 2002, Physical review letters.

[15]  F. Schmid,et al.  Rapid collapse precedes the fast two-state folding of the cold shock protein. , 2004, Journal of molecular biology.

[16]  W. Nau,et al.  A fluorescence-based method for direct measurement of submicrosecond intramolecular contact formation in biopolymers: an exploratory study with polypeptides. , 2002, Journal of the American Chemical Society.

[17]  Jan Kubelka,et al.  Specificity of the initial collapse in the folding of the cold shock protein. , 2006, Journal of molecular biology.

[18]  D. Thirumalai,et al.  Viscosity Dependence of the Folding Rates of Proteins , 1997, cond-mat/9705309.

[19]  R. H. Brown,et al.  Correlation between Photons in two Coherent Beams of Light , 1956, Nature.

[20]  J. Hofkens,et al.  Energy dissipation in multichromophoric single dendrimers. , 2005, Accounts of chemical research.

[21]  Gerhard Hummer,et al.  Diffusive model of protein folding dynamics with Kramers turnover in rate. , 2006, Physical review letters.

[22]  Lisa J. Lapidus,et al.  Measuring the rate of intramolecular contact formation in polypeptides. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[23]  P. Gennes Kinetics of collapse for a flexible coil , 1985 .

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

[25]  Photodisplacement imaging—A static regime , 1985 .

[26]  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.

[27]  Sören Doose,et al.  A microscopic view of miniprotein folding: enhanced folding efficiency through formation of an intermediate. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[28]  A. Finkelstein,et al.  A theoretical search for folding/unfolding nuclei in three-dimensional protein structures. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[29]  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.

[30]  Hans Robert Kalbitzer,et al.  Role of entropy in protein thermostability: folding kinetics of a hyperthermophilic cold shock protein at high temperatures using 19F NMR. , 2002, Biochemistry.

[31]  M. Gruebele,et al.  Folding λ-repressor at its speed limit , 2004 .

[32]  Martin Gruebele,et al.  Folding at the speed limit , 2003, Nature.

[33]  J. Onuchic,et al.  Funnels, pathways, and the energy landscape of protein folding: A synthesis , 1994, Proteins.

[34]  R. Zwanzig,et al.  Diffusion in a rough potential. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[35]  Måns Ehrenberg,et al.  Rotational brownian motion and fluorescence intensify fluctuations , 1974 .

[36]  J. Hofrichter,et al.  Sub-microsecond protein folding. , 2006, Journal of molecular biology.

[37]  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.

[38]  M Karplus,et al.  Dynamics of proteins: elements and function. , 1983, Annual review of biochemistry.

[39]  J. Hofrichter,et al.  The protein folding 'speed limit'. , 2004, Current opinion in structural biology.

[40]  H. Weinfurter,et al.  The breakdown flash of silicon avalanche photodiodes-back door for eavesdropper attacks? , 2001, quant-ph/0104103.

[41]  Shoji Takada,et al.  Microscopic Theory of Protein Folding Rates.II: Local Reaction Coordinates and Chain Dynamics , 2000, cond-mat/0008455.

[42]  J. Onuchic,et al.  DIFFUSIVE DYNAMICS OF THE REACTION COORDINATE FOR PROTEIN FOLDING FUNNELS , 1996, cond-mat/9601091.

[43]  W. Eaton,et al.  Polyproline and the "spectroscopic ruler" revisited with single-molecule fluorescence. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[44]  R. Hochstrasser,et al.  Dynamics and folding of single two-stranded coiled-coil peptides studied by fluorescent energy transfer confocal microscopy. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[45]  Klaus Schulten,et al.  First passage time approach to diffusion controlled reactions , 1980 .

[46]  D. Thirumalai,et al.  Thermal denaturation and folding rates of single domain proteins: size matters , 2003, q-bio/0310020.

[47]  V. Muñoz,et al.  A simple model for calculating the kinetics of protein folding from three-dimensional structures. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[48]  D. Chandler,et al.  Introduction To Modern Statistical Mechanics , 1987 .

[49]  Everett A Lipman,et al.  Single-Molecule Measurement of Protein Folding Kinetics , 2003, Science.

[50]  I. Z. Steinberg,et al.  Intramolecular dynamics of chain molecules monitored by fluctuations in efficiency of excitation energy transfer. A theoretical study. , 1984, Biophysical journal.

[51]  R. Jaenicke,et al.  Thermodynamics of the unfolding of the cold-shock protein from Thermotoga maritima. , 1999, Journal of molecular biology.

[52]  E. Elson,et al.  The kinetics of conformational fluctuations in an unfolded protein measured by fluorescence methods. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[53]  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.

[54]  R. Rigler,et al.  Fluorescence correlation spectroscopy , 2001 .

[55]  Sören Doose,et al.  Dynamics of unfolded polypeptide chains in crowded environment studied by fluorescence correlation spectroscopy. , 2007, Journal of molecular biology.

[56]  E. Katchalski‐Katzir,et al.  Brownian motion of the ends of oligopeptide chains in solution as estimated by energy transfer between the chain ends , 1978 .

[57]  P. Wolynes,et al.  Intermediates and barrier crossing in a random energy model , 1989 .

[58]  D Thirumalai,et al.  Kinetics and thermodynamics of folding in model proteins. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[59]  C. Brooks,et al.  From folding theories to folding proteins: a review and assessment of simulation studies of protein folding and unfolding. , 2001, Annual review of physical chemistry.

[60]  M. Karplus,et al.  Protein Folding: A Perspective from Theory and Experiment. , 1998, Angewandte Chemie.

[61]  D. Thirumalai,et al.  From Minimal Models to Real Proteins: Time Scales for Protein Folding Kinetics , 1995 .

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

[63]  Lisa J. Lapidus,et al.  Effects of denaturants on the dynamics of loop formation in polypeptides. , 2006, Biophysical journal.

[64]  Stephen J. Hagen,et al.  Diffusional limits to the speed of protein folding: fact or friction? , 2005 .

[65]  S. Hagen Exponential decay kinetics in “downhill” protein folding , 2002, Proteins.

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

[67]  Dmitrii E. Makarov,et al.  Nanosecond Dynamics of Single Polypeptide Molecules Revealed by Photoemission Statistics of Fluorescence Resonance Energy Transfer: A Theoretical Study , 2003 .

[68]  K. Dill,et al.  From Levinthal to pathways to funnels , 1997, Nature Structural Biology.

[69]  B. Zimm Dynamics of Polymer Molecules in Dilute Solution: Viscoelasticity, Flow Birefringence and Dielectric Loss , 1956 .

[70]  J. Hofrichter,et al.  Effects of chain stiffness on the dynamics of loop formation in polypeptides. Appendix: Testing a 1-dimensional diffusion model for peptide dynamics , 2002 .

[71]  A. Palmer,et al.  Nmr probes of molecular dynamics: overview and comparison with other techniques. , 2001, Annual review of biophysics and biomolecular structure.

[72]  A. Szabó,et al.  Theory of the statistics of kinetic transitions with application to single-molecule enzyme catalysis. , 2006, The Journal of chemical physics.

[73]  Serge Reynaud La fluorescence de résonance : Etude par la méthode de l'atome habillé , 1983 .