Folding a protein in a computer: An atomic description of the folding/unfolding of protein A

We study the folding mechanism of a three-helix bundle protein at atomic resolution, including effects of explicit water. Using replica exchange molecular dynamics we perform enough sampling over a wide range of temperatures to obtain the free energy, entropy, and enthalpy surfaces as a function of structural reaction coordinates. Simulations were started from different configurations covering the folded and unfolded states. Because many transitions between all minima at the free energy surface are observed, a quantitative determination of the free energy barriers and the ensemble of configurations associated with them is now possible. The kinetic bottlenecks for folding can be determined from the thermal ensembles of structures on the free energy barriers, provided the kinetically determined transition-state ensembles are similar to those determined from free energy barriers. A mechanism incorporating the interplay among backbone ordering, sidechain packing, and desolvation arises from these calculations. Large Φ values arise not only from native contacts, which mostly form at the transition state, but also from contacts already present in the unfolded state that are partially destroyed at the transition.

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

[2]  P. Wolynes,et al.  Spin glasses and the statistical mechanics of protein folding. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[3]  A. Fersht,et al.  Mapping the transition state and pathway of protein folding by protein engineering , 1989, Nature.

[4]  H. G. Petersen,et al.  Error estimates on averages of correlated data , 1989 .

[5]  J. Onuchic,et al.  Protein folding funnels: a kinetic approach to the sequence-structure relationship. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[6]  I. Shimada,et al.  Three-dimensional solution structure of the B domain of staphylococcal protein A: comparisons of the solution and crystal structures. , 1992, Biochemistry.

[7]  J. Skolnick,et al.  Monte carlo simulations of protein folding. II. Application to protein A, ROP, and crambin , 1994, Proteins.

[8]  G. Hummer,et al.  Computer simulation of aqueous Na-Cl electrolytes , 1994 .

[9]  C. Brooks,et al.  First-principles calculation of the folding free energy of a three-helix bundle protein. , 1995, Science.

[10]  R. L. Baldwin The nature of protein folding pathways: The classical versus the new view , 1995, Journal of biomolecular NMR.

[11]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[12]  J. Onuchic,et al.  Toward an outline of the topography of a realistic protein-folding funnel. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[13]  A. Pohorille,et al.  An information theory model of hydrophobic interactions. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[14]  R. Dyer,et al.  Fast events in protein folding: helix melting and formation in a small peptide. , 1996, Biochemistry.

[15]  García,et al.  Origin of Entropy Convergence in Hydrophobic Hydration and Protein Folding. , 1996, Physical review letters.

[16]  J. Onuchic,et al.  Theory of protein folding: the energy landscape perspective. , 1997, Annual review of physical chemistry.

[17]  H. Dyson,et al.  Absence of a stable intermediate on the folding pathway of protein A , 1997, Protein science : a publication of the Protein Society.

[18]  C. Brooks,et al.  Exploring the folding free energy surface of a three-helix bundle protein. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[19]  V. Muñoz,et al.  Folding dynamics and mechanism of β-hairpin formation , 1997, Nature.

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

[21]  A SYNTHETIC RETROTRANSITION (BACKWARD READING) SEQUENCE OF THE RIGHT-HANDED THREE-HELIX BUNDLE DOMAIN (10-53) OF PROTEIN A SHOWS SIMILARITY IN CONFOMA TION AS PREDICTED BY COMPUTATION , 1998 .

[22]  L Serrano,et al.  High populations of non-native structures in the denatured state are compatible with the formation of the native folded state. , 1998, Journal of molecular biology.

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

[24]  J. Onuchic,et al.  Pressure-induced protein-folding/unfolding kinetics. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[25]  C L Brooks,et al.  Exploring the origins of topological frustration: design of a minimally frustrated model of fragment B of protein A. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

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

[27]  P. Wolynes,et al.  Folding dynamics with nonadditive forces: A simulation study of a designed helical protein and a random heteropolymer , 1999 .

[28]  M. Karplus,et al.  Folding of a model three-helix bundle protein: a thermodynamic and kinetic analysis. , 1999, Journal of molecular biology.

[29]  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.

[30]  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.

[31]  Gerhard Hummer,et al.  New perspectives on hydrophobic effects , 2000 .

[32]  A. Fersht,et al.  Protein folding and unfolding in microseconds to nanoseconds by experiment and simulation. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[33]  D Baker,et al.  A breakdown of symmetry in the folding transition state of protein L. , 2000, Journal of molecular biology.

[34]  E. Shakhnovich,et al.  Characterization of the folding kinetics of a three-helix bundle protein via a minimalist Langevin model. , 2001, Journal of molecular biology.

[35]  M. Oliveberg Characterisation of the transition states for protein folding: towards a new level of mechanistic detail in protein engineering analysis. , 2001, Current opinion in structural biology.

[36]  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.

[37]  D Thirumalai,et al.  Simulations of β-hairpin folding confined to spherical pores using distributed computing , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[38]  H. Scheraga,et al.  An atomically detailed study of the folding pathways of protein A with the stochastic difference equation , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[39]  Joan-Emma Shea,et al.  Probing the folding free energy landscape of the src-SH3 protein domain , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[40]  J. Onuchic,et al.  Protein folding mediated by solvation: Water expulsion and formation of the hydrophobic core occur after the structural collapse , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[41]  K. Sanbonmatsu,et al.  α-Helical stabilization by side chain shielding of backbone hydrogen bonds , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[42]  Pieter Rein ten Wolde,et al.  Drying-induced hydrophobic polymer collapse , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[43]  G. Favrin,et al.  Folding of a small helical protein using hydrogen bonds and hydrophobicity forces , 2001, Proteins.

[44]  V. Pande,et al.  Absolute comparison of simulated and experimental protein-folding dynamics , 2002, Nature.

[45]  Valerie Daggett,et al.  The complete folding pathway of a protein from nanoseconds to microseconds , 2003, Nature.