Energy propagation and network energetic coupling in proteins.

Understanding how allosteric proteins respond to changes in their environment is a major goal of current biological research. We show that these responses can be quantified by analyzing protein energy networks using a method recently developed in our group. On the basis of this method, we introduce here a quantity named energetic coupling, which we show is able to discriminate allosterically active mutants of the lactose repressor (LacI) protein, and of the catabolite activator protein (CAP), a dynamically driven allosteric protein. Our method assumes that allostery and signal transmission can be more accurately described as efficient energy propagation, and not as the more widely used atomic motion correlations. We demonstrate the validity of this assumption by performing energy-propagation simulations. Finally, we present results from energy-propagation simulations performed on folded and fully extended conformations of the postsynaptic density protein 95 (PSD-95). They show that the protein backbone provides a more efficient route for energy transfer, when compared to secondary or tertiary contacts. On the basis of this, we propose energy propagation through the backbone as a possible explanation for the observation that intrinsically disordered proteins can efficiently transmit signals while lacking a well-defined tertiary structure.

[1]  R. Hochstrasser,et al.  Energy dissipation and relaxation processes in deoxy myoglobin after photoexcitation in the Soret region , 2000 .

[2]  J. Lee,et al.  A linear correlation between the energetics of allosteric communication and protein flexibility in the Escherichia coli cyclic AMP receptor protein revealed by mutation-induced changes in compressibility and amide hydrogen-deuterium exchange. , 2004, Biochemistry.

[3]  R. Ebright,et al.  Dynamically driven protein allostery , 2006, Nature Structural &Molecular Biology.

[4]  L. Martínez,et al.  Mapping the intramolecular vibrational energy flow in proteins reveals functionally important residues , 2011 .

[5]  M. Lewis,et al.  A closer view of the conformation of the Lac repressor bound to operator , 2000, Nature Structural Biology.

[6]  Oliver F. Lange,et al.  Generalized correlation for biomolecular dynamics , 2005, Proteins.

[7]  Jeffrey Miller,et al.  Genetic Studies of Lac Repressor: 4000 Single Amino Acid Substitutions and Analysis of the Resulting Phenotypes on the Basis of the Protein Structure , 1996, German Conference on Bioinformatics.

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

[9]  Corey J Wilson,et al.  Engineering alternate cooperative-communications in the lactose repressor protein scaffold. , 2013, Protein engineering, design & selection : PEDS.

[10]  Jeff Tian,et al.  A Mechanistic Understanding of Allosteric Immune Escape Pathways in the HIV-1 Envelope Glycoprotein , 2013, PLoS Comput. Biol..

[11]  M. Parrinello,et al.  Crystal structure and pair potentials: A molecular-dynamics study , 1980 .

[12]  Wei Zhang,et al.  A point‐charge force field for molecular mechanics simulations of proteins based on condensed‐phase quantum mechanical calculations , 2003, J. Comput. Chem..

[13]  T. Steitz,et al.  Modeling the cAMP-induced allosteric transition using the crystal structure of CAP-cAMP at 2.1 A resolution. , 2000, Journal of molecular biology.

[14]  Berk Hess,et al.  P-LINCS:  A Parallel Linear Constraint Solver for Molecular Simulation. , 2008, Journal of chemical theory and computation.

[15]  K. Sharp,et al.  Pump‐probe molecular dynamics as a tool for studying protein motion and long range coupling , 2006, Proteins.

[16]  M Karplus,et al.  Small-world view of the amino acids that play a key role in protein folding. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Kresten Lindorff-Larsen,et al.  Paths of long-range communication in the E2 enzymes of family 3: a molecular dynamics investigation. , 2012, Physical chemistry chemical physics : PCCP.

[18]  D. Thirumalai,et al.  Allostery wiring diagrams in the transitions that drive the GroEL reaction cycle. , 2009, Journal of molecular biology.

[19]  Conrad C. Huang,et al.  UCSF Chimera—A visualization system for exploratory research and analysis , 2004, J. Comput. Chem..

[20]  V Latora,et al.  Efficient behavior of small-world networks. , 2001, Physical review letters.

[21]  D. Leitner Vibrational Energy Transfer in Helices , 2001 .

[22]  Mark Gerstein,et al.  The Importance of Bottlenecks in Protein Networks: Correlation with Gene Essentiality and Expression Dynamics , 2007, PLoS Comput. Biol..

[23]  Pekka Koskinen,et al.  Structural relaxation made simple. , 2006, Physical review letters.

[24]  Rommie E. Amaro,et al.  Computational approaches to mapping allosteric pathways. , 2014, Current opinion in structural biology.

[25]  M. Lewis,et al.  The lac repressor. , 2005, Comptes rendus biologies.

[26]  P. Kollman,et al.  Settle: An analytical version of the SHAKE and RATTLE algorithm for rigid water models , 1992 .

[27]  A. Atilgan,et al.  Small-world communication of residues and significance for protein dynamics. , 2003, Biophysical journal.

[28]  S. Vishveshwara,et al.  A study of communication pathways in methionyl- tRNA synthetase by molecular dynamics simulations and structure network analysis , 2007, Proceedings of the National Academy of Sciences.

[29]  Stephen J. Garland,et al.  Algorithm 97: Shortest path , 1962, Commun. ACM.

[30]  A Keith Dunker,et al.  A computational investigation of allostery in the catabolite activator protein. , 2007, Journal of the American Chemical Society.

[31]  M. Parrinello,et al.  Canonical sampling through velocity rescaling. , 2007, The Journal of chemical physics.

[32]  Liskin Swint-Kruse,et al.  Allostery in the LacI/GalR family: variations on a theme. , 2009, Current opinion in microbiology.

[33]  K. Haiser,et al.  Following the energy transfer in and out of a polyproline-peptide. , 2013, Biopolymers.

[34]  G. Bowman,et al.  Equilibrium fluctuations of a single folded protein reveal a multitude of potential cryptic allosteric sites , 2012, Proceedings of the National Academy of Sciences.

[35]  Matthias Wilmanns,et al.  Structural evidence for ammonia tunneling across the (beta alpha)(8) barrel of the imidazole glycerol phosphate synthase bienzyme complex. , 2002, Structure.

[36]  V. Hilser,et al.  Intrinsic disorder as a mechanism to optimize allosteric coupling in proteins , 2007, Proceedings of the National Academy of Sciences.

[37]  David A Agard,et al.  Intramolecular signaling pathways revealed by modeling anisotropic thermal diffusion. , 2005, Journal of molecular biology.

[38]  Peter L. Freddolino,et al.  Signaling mechanisms of LOV domains: new insights from molecular dynamics studies , 2013, Photochemical & photobiological sciences : Official journal of the European Photochemistry Association and the European Society for Photobiology.

[39]  J. Straub,et al.  Efforts toward developing direct probes of protein dynamics. , 2006, Journal of the American Chemical Society.

[40]  André A. S. T. Ribeiro,et al.  Determination of Signaling Pathways in Proteins through Network Theory: Importance of the Topology. , 2014, Journal of chemical theory and computation.

[41]  C Cruz,et al.  Genetic studies of the lac repressor. XIV. Analysis of 4000 altered Escherichia coli lac repressors reveals essential and non-essential residues, as well as "spacers" which do not require a specific sequence. , 1994, Journal of molecular biology.

[42]  Structural biology: Signalling from disordered proteins , 2013, Nature.

[43]  D. Leitner Frequency-resolved communication maps for proteins and other nanoscale materials. , 2009, The Journal of chemical physics.

[44]  R. Hochstrasser,et al.  STRUCTURE OF THE AMIDE I BAND OF PEPTIDES MEASURED BY FEMTOSECOND NONLINEAR-INFRARED SPECTROSCOPY , 1998 .

[45]  Y. Mizutani,et al.  Role of heme propionates of myoglobin in vibrational energy relaxation , 2006 .

[46]  Z. Luthey-Schulten,et al.  Dynamical networks in tRNA:protein complexes , 2009, Proceedings of the National Academy of Sciences.

[47]  Producing positive, negative, and no cooperativity by mutations at a single residue located at the subunit interface in the aspartate receptor of Salmonella typhimurium. , 1996, Biochemistry.

[48]  D. Leitner Energy flow in proteins. , 2008, Annual review of physical chemistry.

[49]  Galen Collier,et al.  Emerging computational approaches for the study of protein allostery. , 2013, Archives of biochemistry and biophysics.

[50]  Zaida Luthey-Schulten,et al.  Exploring residue component contributions to dynamical network models of allostery. , 2012, Journal of chemical theory and computation.

[51]  R. Ranganathan,et al.  Evolutionarily conserved pathways of energetic connectivity in protein families. , 1999, Science.

[52]  K. Dill Dominant forces in protein folding. , 1990, Biochemistry.

[53]  K. Dill,et al.  The protein folding problem. , 1993, Annual review of biophysics.

[54]  Saraswathi Vishveshwara,et al.  Interaction energy based protein structure networks. , 2010, Biophysical journal.

[55]  Peter M. Kasson,et al.  GROMACS 4.5: a high-throughput and highly parallel open source molecular simulation toolkit , 2013, Bioinform..

[56]  Mohammad M. Sultan,et al.  Allosteric pathways in imidazole glycerol phosphate synthase , 2012, Proceedings of the National Academy of Sciences.

[57]  J. Lee,et al.  Role of residue 138 in the interdomain hinge region in transmitting allosteric signals for DNA binding in Escherichia coli cAMP receptor protein. , 2004, Biochemistry.