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Determination of Standard Values

Before these new restraints can be applied to a model the values of tex2html_wrap_inline296 and tex2html_wrap_inline298 must be determined from accurately-known structures in which we have confidence.

The choice of the basis set is complicated because on one hand one would like these models to be based on very high resolution diffraction data sets, but on the other hand the motion of the atoms in the models should be similar to those in ``typical'' macromolecules. In particular, one would not expect the motion seen in crystal of small molecules to be representative of the motions of macromolecules.

The values of tex2html_wrap_inline296 and tex2html_wrap_inline298 must therefore be derived from protein molecules. The resolution of the diffraction data must be fairly high, e.g. at least 1.7Å. The B-factors of the models should not have been restrained by any factors, such as those that one is attempting to derive. This restriction prevents any bias caused by either the traditional or new restraints. Because the exclusion of low resolution diffraction terms cause systematic errors in the B-factors, the models used to derive the standard values must have been refined against all of the data.

Since most models produced by refinement with PROLSQ or XPLOR are routinely subjected to B-factor restraints, they cannot be used to determine standard values for the new restraining function. This excludes a very large proportion of the structures in the Protein Data Bank.

Therefore it was necessary to resort to a set of four structures, with a total of about 900 amino acid residues. The structures are listed in Table 1. The library of standard values was generated by calculating the mean B-factor change for each type of bond in all the models, as well its standard deviation.

Parameters for nucleic acids have not been defined due to the lack of a basis set.

   table43
Table 1: Reference Models

A benefit of this survey is that it provides confidence limits for the B-factors derived by the refinement procedure. If the B-factors for these models were unreliable all of the tex2html_wrap_inline298 parameters would be quite large. In fact, the mean tex2html_wrap_inline298 for bonds between atoms that are well ordered (e. g. main chain atoms and the side chain atoms of hydrophobic side chains) averages about 5Å tex2html_wrap_inline250 . This implies that the 95% confidence interval for the B-factors of these models is approximately tex2html_wrap_inline330 Å tex2html_wrap_inline250 ( tex2html_wrap_inline334 because the integral of the Normal distribution from -1.96 to 1.96 is 0.95).




next up previous
Next: Results Up: Knowledge-Based B-Factor Restraints for Previous: The Proposed Method

Dale Edwin Tronrud
October 4, 1995