Structure of Penta-Alanine Investigated by Two-Dimensional Infrared Spectroscopy and Molecular Dynamics Simulation.

We have studied the structure of (Ala)5, a model unfolded peptide, using a combination of 2D IR spectroscopy and molecular dynamics (MD) simulation. Two different isotopomers, each bis-labeled with (13)C═O and (13)C═(18)O, were strategically designed to shift individual site frequencies and uncouple neighboring amide-I' modes. 2D IR spectra taken under the double-crossed ⟨π/4, -π/4, Y, Z⟩ polarization show that the labeled four-oscillator systems can be approximated by three two-oscillator systems. By utilizing the different polarization dependence of diagonal and cross peaks, we extracted the coupling constants and angles between three pairs of amide-I' transition dipoles through spectral fitting. These parameters were related to the peptide backbone dihedral angles through DFT calculated maps. The derived dihedral angles are all located in the polyproline-II (ppII) region of the Ramachandran plot. These results were compared to the conformations sampled by Hamiltonian replica-exchange MD simulations with three different CHARMM force fields. The C36 force field predicted that ppII is the dominant conformation, consistent with the experimental findings, whereas C22/CMAP predicted similar population for α+, β, and ppII, and the polarizable Drude-2013 predicted dominating β structure. Spectral simulation based on MD representative conformations and structure ensembles demonstrated the need to include multiple 2D spectral features, especially the cross-peak intensity ratio and shape, in structure determination. Using 2D reference spectra defined by the C36 structure ensemble, the best spectral simulation is achieved with nearly 100% ppII population, although the agreement with the experimental cross-peak intensity ratio is still insufficient. The dependence of population determination on the choice of reference structures/spectra and the current limitations on theoretical modeling relating peptide structures to spectral parameters are discussed. Compared with the previous results on alanine based oligopeptides, the dihedral angles of our fitted structure, and the most populated ppII structure from the C36 simulation are in good agreement with those suggesting a major ppII population. Our results provide further support for the importance of ppII conformation in the ensemble of unfolded peptides.

[1]  Alexander D. MacKerell,et al.  Extending the treatment of backbone energetics in protein force fields: Limitations of gas‐phase quantum mechanics in reproducing protein conformational distributions in molecular dynamics simulations , 2004, J. Comput. Chem..

[2]  Jianping Wang,et al.  Two-dimensional infrared spectroscopy of the alanine dipeptide in aqueous solution. , 2005, The journal of physical chemistry. B.

[3]  Kai Griebenow,et al.  Stable conformations of tripeptides in aqueous solution studied by UV circular dichroism spectroscopy. , 2003, Journal of the American Chemical Society.

[4]  Vincent A Voelz,et al.  A molecular interpretation of 2D IR protein folding experiments with Markov state models. , 2014, Biophysical journal.

[5]  R. Hochstrasser Two-dimensional IR-spectroscopy: polarization anisotropy effects , 2001 .

[6]  Hajime Torii,et al.  Model calculations on the amide-I infrared bands of globular proteins , 1992, Other Conferences.

[7]  J. Skinner,et al.  Dynamics of water probed with vibrational echo correlation spectroscopy. , 2004, The Journal of chemical physics.

[8]  E. Prenner,et al.  Optimization of the hydrochloric acid concentration used for trifluoroacetate removal from synthetic peptides , 2007, Journal of peptide science : an official publication of the European Peptide Society.

[9]  T. Measey,et al.  The alanine-rich XAO peptide adopts a heterogeneous population, including turn-like and polyproline II conformations , 2007, Proceedings of the National Academy of Sciences.

[10]  Sanford A. Asher,et al.  UV Raman Demonstrates that α-Helical Polyalanine Peptides Melt to Polyproline II Conformations , 2004 .

[11]  Alexander D. MacKerell,et al.  Optimization of the additive CHARMM all-atom protein force field targeting improved sampling of the backbone φ, ψ and side-chain χ(1) and χ(2) dihedral angles. , 2012, Journal of chemical theory and computation.

[12]  Alexander D. MacKerell,et al.  Force Field for Peptides and Proteins based on the Classical Drude Oscillator. , 2013, Journal of chemical theory and computation.

[13]  R. Hochstrasser,et al.  Effects of Vibrational Frequency Correlations on Two-Dimensional Infrared Spectra† , 2002 .

[14]  J. Hirst,et al.  Modeling the amide I bands of small peptides. , 2006, The Journal of chemical physics.

[15]  G. Stock,et al.  Conformational Dynamics of Trialanine in Water: A Molecular Dynamics Study , 2002 .

[16]  George D Rose,et al.  Polyproline II structure in a sequence of seven alanine residues , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[17]  M. Tasumi,et al.  Ab initio molecular orbital study of the amide I vibrational interactions between the peptide groups in di‐ and tripeptides and considerations on the conformation of the extended helix , 1998 .

[18]  Robert W Woody,et al.  Is polyproline II a major backbone conformation in unfolded proteins? , 2002, Advances in protein chemistry.

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

[20]  Kang Chen,et al.  Conformation of the backbone in unfolded proteins. , 2006, Chemical reviews.

[21]  M. Cho,et al.  Circular dichroism eigenspectra of polyproline II and β-strand conformers of trialanine in water: Singular value decomposition analysis. , 2010, Chirality.

[22]  P. Hamm,et al.  Subpicosecond conformational dynamics of small peptides probed by two-dimensional vibrational spectroscopy , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[23]  C. Toniolo,et al.  Onset of 3(10)-helical secondary structure in aib oligopeptides probed by coherent 2D IR spectroscopy. , 2008, Journal of the American Chemical Society.

[24]  N. Demirdöven,et al.  Obtaining absorptive line shapes in two-dimensional infrared vibrational correlation spectra. , 2003, Physical review letters.

[25]  R. Schweitzer-Stenner,et al.  Dihedral angles of tripeptides in solution directly determined by polarized Raman and FTIR spectroscopy. , 2002, Biophysical journal.

[26]  R. Schweitzer‐Stenner Secondary structure analysis of polypeptides based on an excitonic coupling model to describe the band profile of amide I' of IR, raman, and vibrational circular dichroism spectra , 2004 .

[27]  R. Hochstrasser,et al.  The two-dimensional IR nonlinear spectroscopy of a cyclic penta-peptide in relation to its three-dimensional structure. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

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

[29]  Gerhard Stock,et al.  Peptide conformational heterogeneity revealed from nonlinear vibrational spectroscopy and molecular dynamics simulations , 2002 .

[30]  Kang Chen,et al.  The polyproline II conformation in short alanine peptides is noncooperative. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[31]  S. Mukamel,et al.  Sensitivity of 2D IR spectra to peptide helicity: a concerted experimental and simulation study of an octapeptide. , 2009, The journal of physical chemistry. B.

[32]  Gerhard Stock,et al.  Conformational dynamics of trialanine in water. 2. Comparison of AMBER, CHARMM, GROMOS, and OPLS force fields to NMR and infrared experiments , 2003 .

[33]  R. Hochstrasser,et al.  Two-dimensional IR spectroscopy can be designed to eliminate the diagonal peaks and expose only the crosspeaks needed for structure determination , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[34]  C. Dorrer,et al.  Spectral resolution and sampling issues in Fourier-transform spectral interferometry , 2000 .

[35]  Hiroaki Maekawa,et al.  Vibrational correlation between conjugated carbonyl and diazo modes studied by single- and dual-frequency two-dimensional infrared spectroscopy , 2013 .

[36]  R. Schweitzer‐Stenner Distribution of conformations sampled by the central amino acid residue in tripeptides inferred from amide I band profiles and NMR scalar coupling constants. , 2009, The journal of physical chemistry. B.

[37]  G. Scuseria,et al.  Gaussian 03, Revision E.01. , 2007 .

[38]  Xiaolin Cao,et al.  Tripeptides adopt stable structures in water. A combined polarized visible Raman, FTIR, and VCD spectroscopy study. , 2002, Journal of the American Chemical Society.

[39]  K. Griebenow,et al.  Conformations of alanine-based peptides in water probed by FTIR, Raman, vibrational circular dichroism, electronic circular dichroism, and NMR spectroscopy. , 2007, Biochemistry.

[40]  A. Liwo,et al.  Polyproline II conformation is one of many local conformational states and is not an overall conformation of unfolded peptides and proteins. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[41]  N. Ge,et al.  Conformations of N-acetyl-L-prolinamide by two-dimensional infrared spectroscopy. , 2006, The journal of physical chemistry. B.

[42]  P. Bouř,et al.  Ramachandran Plot for Alanine Dipeptide as Determined from Raman Optical Activity. , 2013, The journal of physical chemistry letters.

[43]  S. Nosé A unified formulation of the constant temperature molecular dynamics methods , 1984 .

[44]  G. Hummer,et al.  Are current molecular dynamics force fields too helical? , 2008, Biophysical journal.

[45]  C. Toniolo,et al.  Different spectral signatures of octapeptide 3(10)- and alpha-helices revealed by two-dimensional infrared spectroscopy. , 2006, The journal of physical chemistry. B.

[46]  D. Jonas,et al.  Two-Dimensional Electronic Correlation and Relaxation Spectra: Theory and Model Calculations , 1999 .

[47]  G. Stock,et al.  Ab initio-based exciton model of amide I vibrations in peptides: definition, conformational dependence, and transferability. , 2005, The Journal of chemical physics.

[48]  H. C. Andersen Molecular dynamics simulations at constant pressure and/or temperature , 1980 .

[49]  T. Creamer,et al.  Polyproline II helical structure in protein unfolded states: Lysine peptides revisited , 2002, Protein science : a publication of the Protein Society.

[50]  P. Hamm,et al.  2D IR spectra of cyanide in water investigated by molecular dynamics simulations. , 2013, The Journal of chemical physics.

[51]  N. Kallenbach,et al.  Vibrational Raman optical activity characterization of poly(l-proline) II helix in alanine oligopeptides. , 2004, Journal of the American Chemical Society.

[52]  Jianpeng Ma,et al.  CHARMM: The biomolecular simulation program , 2009, J. Comput. Chem..

[53]  S. Ham,et al.  Amide I modes in the N-methylacetamide dimer and glycine dipeptide analog: Diagonal force constants , 2003 .

[54]  D. Shaw,et al.  pH dependence of the conformation of small peptides investigated with two-dimensional vibrational spectroscopy. , 2010, The journal of physical chemistry. B.

[55]  K. Griebenow,et al.  The conformation of tetraalanine in water determined by polarized Raman, FT-IR, and VCD spectroscopy. , 2004, Journal of the American Chemical Society.

[56]  Claudio Toniolo,et al.  Linear and two-dimensional infrared spectroscopic study of the amide I and II modes in fully extended peptide chains. , 2011, The journal of physical chemistry. B.

[57]  C. Toniolo,et al.  13C═18O/15N Isotope Dependence of the Amide-I/II 2D IR Cross Peaks for the Fully Extended Peptides , 2014 .

[58]  Amber T. Krummel,et al.  A pulse sequence for directly measuring the anharmonicities of coupled vibrations: Two-quantum two-dimensional infrared spectroscopy. , 2004, The Journal of chemical physics.

[59]  Peter Hamm,et al.  Structure Determination of Trialanine in Water Using Polarization Sensitive Two-Dimensional Vibrational Spectroscopy , 2000 .

[60]  R Schweitzer-Stenner,et al.  Dihedral angles of trialanine in D2O determined by combining FTIR and polarized visible Raman spectroscopy. , 2001, Journal of the American Chemical Society.

[61]  Zhengshuang Shi,et al.  Polyproline II propensities from GGXGG peptides reveal an anticorrelation with beta-sheet scales. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[62]  Brigida Bochicchio,et al.  Polyproline II structure in proteins: identification by chiroptical spectroscopies, stability, and functions. , 2002, Chirality.

[63]  R. Hochstrasser,et al.  Dynamics of amide-I modes of the alanine dipeptide in D2O. , 2005, The journal of physical chemistry. B.

[64]  S. Ham,et al.  Local Amide I Mode Frequencies and Coupling Constants in Polypeptides , 2003 .

[65]  M. Sternberg,et al.  Polyproline-II helix in proteins: structure and function. , 2013, Journal of molecular biology.

[66]  Alexander D. MacKerell,et al.  All-atom empirical potential for molecular modeling and dynamics studies of proteins. , 1998, The journal of physical chemistry. B.

[67]  Benoît Roux,et al.  Modeling induced polarization with classical Drude oscillators: Theory and molecular dynamics simulation algorithm , 2003 .

[68]  Hoover,et al.  Canonical dynamics: Equilibrium phase-space distributions. , 1985, Physical review. A, General physics.

[69]  Alan R Davidson,et al.  The structure of “unstructured” regions in peptides and proteins: Role of the polyproline II helix in protein folding and recognition * , 2005, Biopolymers.

[70]  P. Hamm,et al.  Isotope-edited two-dimensional vibrational spectroscopy of trialanine in aqueous solution , 2001 .

[71]  H. Schwalbe,et al.  Structure and dynamics of the homologous series of alanine peptides: a joint molecular dynamics/NMR study. , 2007, Journal of the American Chemical Society.

[72]  C. Toniolo,et al.  Two-dimensional infrared spectral signatures of 310-and α-helical peptides , 2007 .