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ligand) is then put into standard orientation. This is the convention that X L<br />

r coincide<br />

with the origin, S Xr lie along the z-axis, and X M<br />

r<br />

5.2).<br />

246<br />

lie in the –y part of the yz plane (Figure<br />

The coordinates of the ligand are required in PDB format, as is the GROMACS .itp<br />

(include topology) and the AutoDock .pdbq (structure + charges + bond mobility) files.<br />

The latter two can be generated from the first using the PRODRG program[123].<br />

Definition of Rotations<br />

The three euler rotations mentioned earlier are the rotation of the M domain about the x-<br />

axis, σx, also referred to as a “pitch” rotation, σy, the “yaw” rotation, and σz, the “roll”<br />

rotation (Figure 5.2). The ligand is conventionally not rotated, i.e. remains stationary<br />

with respect to S.<br />

One must keep in mind that the magnitude of the displacement of X M<br />

r<br />

due to a yaw<br />

rotation depends on the pitch coordinate. Also, while yaw and roll rotations result in<br />

orthogonal displacements of domain M at pitch = 0°, the displacements become<br />

progressively more parallel as pitch approaches ±90°. For these reasons if phase space is<br />

explored at equal angular intervals, regions approaching pitch = ±90° are explored more<br />

densely than regions near pitch = 0°. Finally, when pitch is exactly ±90°, yaw and roll<br />

rotations are exactly equivalent up to a sign and it is impossible to control either

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