Abstract
In thinking about how a protein might look in its three-dimensional fully folded form, Hsien Wu had envisioned it as forming a crystalline solid composed of repeated folded structural elements. That hope for simplicity by him and everyone else was effectively dashed by the pioneering studies of Kendrew and Perutz. Studies carried out later by Frederic Richards (1925–2009) [who solved the third ever protein structure in 1967, that of ribonuclease S] and others on packing densities confirmed part of Wu’s depiction. There were few if any large voids in the protein interior, and the overall protein densities were indeed consistent with that of an organic compound in the crystalline state, but one without repeating regularities. However, when examined at a finer scale it turns out that the interiors are quite variable in their packing and do not resemble a tightly fit-together jigsaw puzzle so much as a randomly packed sets of nuts and bolts. The packing is; in fact, loose enough to permit a variety of movements.
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Bibliography
Liang, J., & Dill, K. A. (2001). Are proteins well-packed? Biophysical Journal, 81, 751–766.
Richards, F. M. (1974). The interpretation of protein structures: Total volume, group volume distributions and packing density. Journal of Molecular Biology, 82, 1–14.
Motions of Proteins
Austin, R. H., Beeson, K. W., Eisenstein, L., Frauenfelder, H., & Gunsalus, I. C. (1975). Dynamics of ligand binding to myoglobin. Biochemistry, 14, 5355–5373.
Frauenfelder, H., Sligar, S. G., & Wolynes, P. G. (1991). The energy landscapes and motions of proteins. Science, 254, 1598–1603.
Henzler-Wildman, K., & Kern, D. (2007). Dynamic personalities of proteins. Nature, 450, 964–972.
Weber, G. (1972). Ligand binding and internal equilibria in proteins. Biochemistry, 11, 864–878.
Protein Dynamics, Solvent Slaving, and the Glass-Transition
Adair, G. S., & Adair, M. E. (1936). The densities of protein crystals and the hydration of proteins. Proceedings of the Royal Society B, 120, 422–446.
Bernal, J. D., & Crowfoot, D. (1934). X-ray photographs of crystalline pepsin. Nature, 133, 794–795.
Chick, H., & Martin, C. J. (1913). The density and solution volume of some proteins. The Biochemical Journal, 7, 92–96.
Fenimore, P. W., Frauenfelder, H., McMahon, B. H., & Parak, F. G. (2002). Slaving: Solvent fluctuations dominate protein dynamics and function. Proceedings of the National Academy of Sciences of the United States of America, 99, 16047–16051.
Frauenfelder, H., Chen, G., Berendzen, J., Fenimore, P. W., Jansson, H., McMahon, B. H., et al. (2009). A unified model of protein dynamics. Proceedings of the National Academy of Sciences of the United States of America, 106, 5129–5134.
Rasmussen, B. F., Stock, A. M., Ringe, D., & Petsko, G. A. (1992). Crystalline ribonucleaese A loses function below the dynamical transition at 220 K. Nature, 357, 423–424.
Ringe, D., & Petsko, G. A. (2003). The ‘glass transition’ in protein dynamics: What it is, why it occurs, and how to exploit it. Biophysical Chemistry, 105, 667–680.
Energy Landscape Picture
Bryngelson, J. D., Onuchic, J. N., Socci, N. D., & Wolynes, P. G. (1995). Funnels, pathways and the energy landscape of protein folding: A synthesis. Proteins, 21, 167–195.
Bryngelson, J. D., & Wolynes, P. G. (1987). Spin glasses and the statistical mechanics of protein folding. Proceedings of the National Academy of Sciences of the United States of America, 84, 7524–7528.
Dill, K. A., & Chan, H. S. (1997). From Levinthal to pathways to funnels. Nature Structural Biology, 4, 10–19.
Leopold, P. E., Montal, M., & Onuchic, J. N. (1992). Protein folding funnels: A kinetic approach to the sequence-structure relationship. Proceedings of the National Academy of Sciences of the United States of America, 89, 8721–8725.
Metastability
Jaswal, S. S., Sohl, J. L., Davis, J. H., & Agard, D. A. (2002). Energetic landscape of α-lytic protease optimizes longevity through kinetic stability. Nature, 415, 343–346.
Jaswal, S. S., Truhlar, S. M. E., Dill, K. A., & Agard, D. A. (2005). Comprehensive analysis of protein folding activation thermodynamics reveals a universal behavior violated by kinetically stable proteases. Journal of Molecular Biology, 347, 355–366.
Lomas, D. A., & Mahadeva, R. (2002). α1-Antitrypsin polymerization and the serpinopathies: Pathobiology and prospects for therapy. The Journal of Clinical Investigation, 110, 1585–1590.
Whisstock, J. C., & Bottomley, S. P. (2006). Molecular gymnastics: Serpin structure, folding and misfolding. Current Opinion in Structural Biology, 16, 761–768.
Spin Glasses
Binder, K., & Young, A. P. (1986). Spin glasses: Experimental facts, theoretical concepts, and open questions. Reviews of Modern Physics, 58, 801–976.
Molecular Mechanics
Boas, F. E., & Harbury, P. B. (2007). Potential energy functions for protein design. Current Opinion in Structural Biology, 17, 199–204.
Brooks, B. R., Bruccoleri, R. E., Olafson, B. D., States, D. J., Swaninathan, S., & Karplus, M. (1983). CHARMM: A program for macromolecular energy, minimization, and dynamic calculations. Journal of Computational Chemistry, 4, 187–217.
Cornell, W. D., Cieplak, P., Bayly, C. I., Gould, I. R., Merz, K. M., Jr., Ferguson, D. M., et al. (1995). A second generation force field for the simulation of proteins, nucleic acids, and organic molecules. Journal of the American Chemical Society, 117, 5179–5197.
Schueler-Forman, O., Wang, C., Bradley, P., Misura, K., & Baker, D. (2005). Progress in modeling of protein structures and interactions. Science, 310, 638–642.
Recognition and Binding
Boehr, D. D., Nussinov, R., & Wright, P. E. (2009). The role of dynamic conformational ensembles in biomolecular recognition. Nature Chemical Biology, 5, 789–796.
Csermely, P., Palotai, R., & Nussinov, R. (2010). Induced fit, conformational selection and independent dynamic segments: An extended view of binding events. Trends in Biochemical Sciences, 35, 539–546.
Fischer, E. (1894). Einfluss der Configuration auf die Wirkung der Enzyme. Berichte der Deutschen Chemischen Gesellschaft, 27, 2984–2993.
Koshland, D. E., Jr. (1958). Application of a theory of enzyme specificity to protein synthesis. Proceedings of the National Academy of Sciences of the United States of America, 44, 98–104.
Ma, B., Kumar, S., Tsai, C. J., & Nussinov, R. (1999). Folding funnels and binding mechanisms. Protein Engineering, 12, 713–720.
Tokuriki, N., & Tawfik, D. S. (2009). Protein dynamism and evolvability. Science, 324, 203–207.
Tsai, C. J., Kumar, S., Ma, B., & Nussinov, R. (1999). Folding funnels, binding funnels, and protein function. Protein Science, 8, 1181–1190.
Enzyme Catalysis
Boehr, D. D., McElheny, D., Dyson, H. J., & Wright, P. E. (2006). The dynamic energy landscape of dihydrofolate reductase catalysis. Science, 313, 1638–1642.
Eisenmesser, E. Z., Millet, O., Labeikovsky, W., Korzhnev, D. M., Wolf-Watz, M., Bosco, D. A., et al. (2005). Intrinsic dynamics of an enzyme underlies catalysis. Nature, 438, 117–121.
Henzler-Wildman, K. A., Thai, V., Lei, M., Ott, M., Wolf-Watz, M., Fenn, T., et al. (2007). Intrinsic motions along an enzymatic reaction trajectory. Nature, 450, 838–844.
Allostery and Conformational Entropy
Ferreon, A. C. M., Ferreon, J. C., Wright, P. E., & Deniz, A. A. (2013). Modulation of allostery by protein intrinsic disorder. Nature, 498, 390–394.
Frederick, K. K., Marlow, M. S., Valentine, K. G., & Wand, A. J. (2007). Conformational entropy in molecular recognition by proteins. Nature, 448, 325–329.
Hilser, V. J., & Thompson, E. B. (2007). Intrinsic disorder as a mechanism to optimize allosteric coupling in proteins. Proceedings of the National Academy of Sciences of the United States of America, 104, 8311–8315.
Koshland, D. E., Jr., Némethy, G., & Filmer, D. (1966). Comparison of experimental binding data and theoretical models in proteins containing subunits. Biochemistry, 5, 365–385.
Monod, J., Wyman, J., & Changeux, J. P. (1965). On the nature of allosteric transitions: A plausible model. Journal of Molecular Biology, 12, 88–118.
Motlagh, H. N., Wrabi, J. O., Li, J., & Hilser, V. J. (2014). The ensemble nature of allostery. Nature, 508, 331–339.
Nussinov, R., & Tsai, C. J. (2013). Allostery in disease and in drug discovery. Cell, 153, 293–305.
Tzeng, S. R., & Kalodimos, C. G. (2012). Protein activity regulated by conformational entropy. Nature, 488, 236–240.
Molecular Dynamics
Adcock, S. A., & McCammon, J. A. (2006). Molecular dynamics: Survey of methods for simulating the activity of proteins. Chemical Reviews, 106, 1589–1615.
Alder, B. J., & Wainwright, T. E. (1959). Studies in molecular dynamics: I. General methods. The Journal of Chemical Physics, 31, 459–466.
Chodera, J. D., Singhal, N., Pande, V. S., Dill, K. A., & Swope, W. C. (2007). Automatic discovery of metastable states for the construction of Markov models of macromolecular conformational dynamics. The Journal of Chemical Physics 126: art. 155101.
Dinner, A. R., Šali, A., Smith, L. J., Dobson, C. M., & Karplus, M. (2000). Understanding protein folding via free-energy surfaces from theory and experiment. Trends in Biochemical Sciences, 25, 331–339.
Freddolino, P. L., Harrison, C. B., Liu, Y., & Schulten, K. (2010). Challenges in protein folding timescale, representation, and analysis. Nature Physics, 6, 751–758.
Gō, N. (1983). Theoretical studies of protein folding. Annual Review of Biophysics and Bioengineering, 12, 183–210.
Kohlhoff, K. J., Shukla, D., Lawrenz, M., Bowman, G. R., Konerding, D. E., Belov, D., et al. (2014). Cloud-based simulations on Google Exacycle reveal ligand modulation of GPCR activation pathways. Nature Chemistry, 6, 15–21.
Kubelka, J., Hofrichter, J., & Eaton, W. A. (2004). The protein folding ‘speed limit’. Current Opinion in Structural Biology, 14, 76–88.
Levitt, M., & Warshal, A. (1975). Computer simulation of protein folding. Nature, 253, 694–698.
Lindorff-Larsen, K., Piana, S., Dror, R. O., & Shaw, D. E. (2011). How fast-folding proteins fold. Science, 334, 517–520.
McCammon, J. A., Gelin, B. R., & Karplus, M. (1977). Dynamics of folded proteins. Nature, 267, 585–590.
Noé, F., Schütte, C., Vanden-Eijnden, E., Reich, L., & Weikl, T. R. (2009). Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations. Proceedings of the National Academy of Sciences of the United States of America, 106, 19011–19016.
Piana, S., Lindorff-Larsen, K., & Shaw, D. E. (2013). Atomic level description of ubiquitin folding. Proceedings of the National Academy of Sciences of the United States of America, 110, 5915–5920.
Rahman, A. (1964). Correlations in the motions of atoms in liquid argon. Physical Review A, 136, 405–411.
Rahman, A., & Stillinger, F. H. (1971). Molecular dynamics study of liquid water. The Journal of Chemical Physics, 55, 3336–3359.
Shaw, D. E., Maragakis, P., Lindorff-Larsen, K., Piana, S., Dror, R. O., Eastwood, M. P., et al. (2010). Atomic-level characterization of the structural dynamics of proteins. Science, 330, 341–346.
Voelz, V. A., Bowman, G. R., Beauchamp, K., & Pande, V. S. (2010). Molecular simulation of ab initio protein folding for a millisecond folder NTL9(1–39). Journal of the American Chemical Society, 132, 1526–1528.
Langevin Dynamics
Einstein, A. (1905). Über die von der molekular-kinetischen Theorie der Wärmer geforderte Bewegung von der ruhenden Flüssigkeiten suspenierten Teilchen. Annals of Physics (Leipzig), Series 4, 17, 549–560.
Langevin, P. (1908). Sur la théorie du mouvement brownien. Comptes Rendus de l'Académie des Sciences (Paris), 146, 530–533.
Perrin, J. (1909). Mouvement brownien et réalité moléculaire. Anneles de Chemie et de Physique, Series 8, 18, 1–114.
Monte Carlo Methods
Cerny, V. (1985). Thermodynamic approach to the traveling salesman problem: An efficient simulation algorithm. Journal of Optimization Theory and Applications, 45, 41–51.
Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983). Optimization by simulated annealing. Science, 220, 671–680.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21, 1087–1092.
Ulan, S. M., & von Neumann, J. (1947). On combination of stochastic and deterministic processes. Bulletin of the American Mathematical Society, 53, 1120.
Nuclear Magnetic Resonance
Arnold, J. T., Dharmatti, S. S., & Packard, M. E. (1951). Chemical effects on nuclear induction signals from organic compounds. The Journal of Chemical Physics, 19, 507.
Aue, W. P., Bertholdi, E., & Ernst, R. R. (1976). Two dimensional spectroscopy: Application to nuclear magnetic resonance. The Journal of Chemical Physics, 64, 2229–2246.
Block, F., Hansen, W. W., & Packard, M. (1946). Nuclear induction. Physics Review, 69, 127.
Gutowsky, H. S., McCall, D. W., & Slichter, C. P. (1953). Nuclear magnetic resonance multiplets in liquids. The Journal of Chemical Physics, 21, 279–292.
Lauterbur, P. C. (1973). Image formation by induced local interactions: Examples employing nuclear magnetic resonance. Nature, 242, 190–191.
Ogawa, S., Lee, T. M., Kay, A. R., & Tank, D. W. (1990). Brain magnetic resonance imaging with contrast dependent on blood oxygenation. Proceedings of the National Academy of Sciences of the United States of America, 87, 9868–9872.
Ogawa, S., Tank, D. W., Menon, R., Ellermann, J. M., Kim, S. G., Merkle, H., et al. (1992). Intrinsic signal changes accompanying sensory stimulation: Functional brain mapping with magnetic resonance imaging. Proceedings of the National Academy of Sciences of the United States of America, 89, 5951–5955.
Proctor, W. G., & Yu, F. C. (1950). The dependence of a nuclear magnetic resonance frequency upon chemical compound. Physics Review, 77, 717.
Purcell, E. M., Torrey, H. C., & Pound, R. V. (1946). Resonance absorption by nuclear magnetic moments in a solid. Physics Review, 69, 37–38.
Williamson, M. P., Havel, T. F., & Wüthrich, K. (1985). Solution conformation of proteinase inhibitor IIA from bull seminal plasma by 1H nuclear magnetic resonance and distance geometry. Journal of Molecular Biology, 182, 295–315.
Mass Spectrometry
Benesch, J. L. P., & Ruotolo, B. T. (2011). Mass spectrometry: Come of age for structural and dynamic biology. Current Opinion in Structural Biology, 21, 641–649.
Bernstein, S. L., Dupuis, N. F., Lazo, N. D., Wyttenbach, T., Condron, M. M., Bitan, G., et al. (2009). Amyloid-β protein oligomerization and the importance of tetramers and dodecamers in the aetiology of Alzheimer’s disease. Nature Chemistry, 1, 326–331.
Hydrogen-Deuterium Exchange
Englander, S. W., & Kallenbach, N. R. (1984). Hydrogen exchange and structural dynamics of proteins and nucleic acids. Quarterly Reviews of Biophysics, 16, 521–655.
Hvidt, A., & Nielsen, S. O. (1966). Hydrogen exchange in proteins. Advances in Protein Chemistry, 21, 288–386.
Miller, D. W., & Dill, K. A. (1995). A statistical mechanical model for hydrogen exchange in globular proteins. Protein Science, 4, 1860–1873.
Woodward, C., Simon, I., & Tüchsen, E. (1982). Hydrogen exchange and the dynamic structure of proteins. Molecular and Cellular Biochemistry, 48, 135–160.
Phi-Value Analysis
Fersht, A. R., Matouschek, A., & Serrano, L. (1992). The folding of an enzyme: I. Theory of protein engineering analysis of stability and pathway of protein folding. Journal of Molecular Biology, 224, 771–782.
Matouschek, A., Kellis, J. T., Jr., Serrano, L., & Fersht, A. R. (1989). Mapping the transition stte and pathway of protein folding by protein engineering. Nature, 340, 122–126.
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Beckerman, M. (2015). Protein Folding: Part II—Energy Landscapes and Protein Dynamics. In: Fundamentals of Neurodegeneration and Protein Misfolding Disorders. Biological and Medical Physics, Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-22117-5_3
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