Origin of the anomalous diffusion observed by MD simulation at the protein-water interface

Abstract Our recent molecular dynamics simulations of water-plastocyanin systems have shown evidence of a sublinear trend in time, for long times, of the mean square displacements of water oxygens. In this Letter, we extensively analyze the role played by the spatial (protein surface roughness) and temporal (distribution of water residence times) disorder intrinsic to the systems investigated in determining the observed anomalous diffusion process. Moreover, the occurrence of a correlated motion of waters, due to the glassy character of the protein-water interface, is explored in the framework of mode coupling theory.

[1]  E. Gratton,et al.  Water and globular proteins , 1983 .

[2]  T. Straatsma,et al.  THE MISSING TERM IN EFFECTIVE PAIR POTENTIALS , 1987 .

[3]  Frauenfelder,et al.  Glassy behavior of a protein. , 1989, Physical review letters.

[4]  W. Doster,et al.  Thermal properties of water in myoglobin crystals and solutions at subzero temperatures. , 1986, Biophysical journal.

[5]  G. Phillips,et al.  A global model of the protein-solvent interface. , 1994, Biophysical journal.

[6]  G. Giugliarelli,et al.  Electron spin relaxation measurements on the blue-copper protein plastocyanin: Deviations from a power law temperature dependence. , 1990, Biophysical journal.

[7]  T. Cosgrove,et al.  The fractal approach to heterogeneous chemistry. surface, colloids, polymers : edited by D. Avnir, John Wiley and Sons, New York, 1989, pp. 441, ISBN 0-471-91723-0 , 1990 .

[8]  West,et al.  Influence of the environment on anomalous diffusion. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  G. Schnur,et al.  Fluctuations, exchange processes, and water diffusion in aqueous protein systems: A study of bovine serum albumin by diverse NMR techniques. , 1990, Biophysical journal.

[10]  I. Muegge,et al.  Residence Times and Lateral Diffusion of Water at Protein Surfaces: Application to BPTI , 1995 .

[11]  G. Jug Theory of NMR field-gradient spectroscopy for anomalous diffusion in fractal networks , 1986 .

[12]  P. Pfeifer,et al.  Fractal surface dimension of proteins: Lysozyme , 1985 .

[13]  M. Shlesinger Asymptotic solutions of continuous-time random walks , 1974 .

[14]  Stefan M. Kast,et al.  Self‐Similarity of solvent‐accessible surfaces of biological and synthetical macromolecules , 1993, J. Comput. Chem..

[15]  Chen,et al.  Slow dynamics of water molecules in supercooled states. , 1996, Physical review letters.

[16]  Cusack,et al.  Dynamic instability of liquidlike motions in a globular protein observed by inelastic neutron scattering. , 1990, Physical review letters.

[17]  S. Cannistraro,et al.  Molecular dynamics of copper plastocyanin: simulations of structure and dynamics as a function of hydration , 1994 .

[18]  Joseph Klafter,et al.  Non-Brownian transport in complex systems , 1993 .

[19]  J. Finney Hydration processes in biological and macromolecular systems , 1996 .

[20]  O. Teleman,et al.  Molecular dynamics simulation of interfacial water structure and dynamics in a parvalbumin solution , 1988 .

[21]  K Wüthrich,et al.  Hydration of proteins. A comparison of experimental residence times of water molecules solvating the bovine pancreatic trypsin inhibitor with theoretical model calculations. , 1993, Journal of molecular biology.

[22]  M Karplus,et al.  Solvent effects on protein motion and protein effects on solvent motion. Dynamics of the active site region of lysozyme. , 1989, Journal of molecular biology.

[23]  G. Sartor,et al.  Calorimetric study of crystal growth of ice in hydrated methemoglobin and of redistribution of the water clusters formed on melting the ice. , 1994, Biophysical journal.

[24]  Fuchs,et al.  Primary relaxation in a hard-sphere system. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[25]  M. .. Moore Studies in Statistical Mechanics Vol VII – Fluctuation Phenomena , 1980 .