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Metrization

A metrization procedure to improve the consistency of the chosen
distances is available.
Briefly, the bounds matrix is smoothed for one root, the distance from
the root atom to another atom is chosen, and the procedure is repeated,
changing roots after the distances from the current root to all other
atoms have been chosen. This procedure ensures that later interatom
distance choices are consistent with earlier ones. However,
it requires considerably more CPU time than the actual embedding
because the bounds matrix is frequently resmoothed. It also creates a
sampling problem because the order in which distances are chosen has a
great impact on which parts of the molecule explore their
conformational space completely. If, e.g., the distances are
chosen starting from the N terminus of a protein, the molecule's
coordinates will be almost completely determined before the distances
from the C terminus are chosen. The resulting coordinates show good
sampling for the N terminus only, with the C terminus usually lying in
an extended loop.
This ordered metrization protocol can be modified to improve the
conformational sampling of the coordinates produced. Random
metrization picks the root atoms in random order, so that the molecule's
conformational freedom is not necessarily used up in just one region.

A modification of these two metrization algorithms in the
X-PLOR distance geometry routines gives equally good
conformational sampling and reduces the CPU time
requirements.
In partial metrization, the bounds matrix is resmoothed after
choosing distances from only a fraction of the root atoms, after
which distances are chosen from the other atoms without resmoothing.
This procedure works reliably, even with only four root atoms used in
the retightening phase. If very large structures are calculated, the
number of root atoms
may have to be increased beyond four. The variable
$NON_MET_GAP
is automatically
set by the program to the size of the largest interval in the
bounds matrix after
(partial) metrization.
If $NON_MET_GAP
exceeds a few Å, the number of root
atoms has to be increased.

*Xplor-NIH 2024-06-11*