We consider a dense granular shear flow in a two-dimensional system. Granular systems(composed of a large number of macroscopic particles) are far from equilibrium due toinelastic collisions between particles: an external driving is needed to maintain themotion of particles. Theoretical description of driven granular media is especiallychallenging for dense granular flows. This paper focuses on a gravity-driven densegranular Poiseuille flow in a channel. A special focus here is on the intriguingphenomenon of fluid-solid coexistence: a solid plug in the center of the system,surrounded by fluid layers. To find and analyze various flow regimes, a multi-scaleapproach is taken. On macro scale, granular hydrodynamics is employed. On micro scale,event-driven molecular dynamics simulations are performed. The entire phase diagram ofparameters is explored, in order to determine which flow regime occurs in various regionsin the parameter space.

A single water molecule (w135), buried within the structure of rat intestinal fatty acid binding protein (I-FABP), is investigated by NMR, molecular dynamics simulations, and analysis of known crystal structures. An ordered water molecule was found in structurally analogous position in 24 crystal structures of nine different members of the family of fatty acid binding proteins. There is a remarkable conservation of the local structure near the w135 binding site among different proteins from this family. NMR cross-relaxation measurements imply that w135 is present in the I-FABP:ANS (1-sulfonato-8-(1′)anilinonaphthalene) complex in solution with the residence time of >300 ps. Mean-square positional fluctuations of w135 oxygen observed in MD simulations (0.18 and 0.13 Å2) are comparable in magnitude to fluctuations exhibited by the backbone atoms and result from highly constrained binding pocket as revealed by Voronoi volumes (averages of 27.0 ± 1.8 Å3 and 24.7 ± 2.2 Å3 for the two simulations). Escape of w135 from its binding pocket was observed only in one MD simulation. The escape process was initiated by interactions with external water molecules and was accompanied by large deformations in β-strands D and E. Immediately before the release, w135 assumed three distinct states that differ in hydrogen bonding topology and persisted for about 15 ps each. Computer simulations suggest that escape of w135 from the I-FABP matrix is primarily determined by conformational fluctuations of the protein backbone and interactions with external water molecules.

The structure and dynamics of the fatty acid binding cavity in I-FABP (rat intestinal fatty acid binding protein) were analyzed. In the crystal structure of apo I-FABP, the probe occupied cavity volume and surface are 539 ± 8 Å3 and 428 Å2, respectively (1.4 Å probe). A total of 31 residues contact the cavity with their side chains. The side-chain cavity surface is partitioned according to the residue type as follows: 36–39% hydrophobic, 21–25% hydrophilic, and 37–43% neutral or ambivalent. Thus, the cavity surface is neither like a typical protein interior core, nor is like a typical protein external surface. All hydrophilic residues that contact the cavity—with the exception of Asp74—are clustered on the one side of the cavity. The cavity appears to expand its hydrophobic surface upon fatty acid binding on the side opposite to this hydrophilic patch. In holo I-FABP the fatty acid chain interactions with the hydrophilic side chains are mediated by water molecules. Molecular dynamics (MD) simulation of fully solvated apo I-FABP showed global conformational changes of I-FABP, which resulted in a large, but seemingly transient, exposure of the cavity to the external solvent. The packing density of the side chains lining the cavity, studied by Voronoi volumes, showed the presence of two distinctive small hydrophobic cores. The MD simulation predicts significant structural perturbations of the cavity on the subnanosecond time scale, which are capable of facilitating exchange of I-FABP internal water.