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124  MACROMOLECULAR CRYS TALLOGRAPHY

        symmetry averaging of the density due to the two  of MAD phases is the fact that the data come
        copies in the asymmetric unit. A model of the com-  crystals that approximate true isomorphism more
        plete molecules could easily be built into a map  closely than MIR data. Nevertheless, there might
        computed with these phases (Murthy, 2001).   be cases in which the anomalous signal might be
          Althoughheavyatomoranomalousscattererposi-  too weak to provide a complete solution, although
        tions have traditionally determined from Patterson  approximate phases can be obtained. Classically, it
        maps, alternative techniques are available. Espe-  has been possible to combine structural informa-
        cially in cases where the number of anomalous  tion from more than one source through combina-
        scatterers is large, direct methods have been used.  tion of suitably weighted phases. This is generally
        In fact, in the determination of the low resolution  accomplished by multiplication of the probabil-
        structure of Clostridium acdi-urici ferredoxin through  ity distribution function for the phase from each
        MAD phasing (Murthy, 1988), the positions of the  source (Hendrickson and Lattman, 1970). A prob-
        iron-sulphur clusters was located using MULTAN  ability density function representation for MAD
        (Germain et al., 1970). Because the data measured  phases has been derived (Pahler et al., 1990) and
        from the crystals were limited to about 5 Å, no  such functions have long been available for MIR
        attempt could be made to obtain individual Fe and  and model phases (Blundell and Johnson, 1976).
                                       0
        S atomic positions. A selected set of | F A (h)| val-  Currently the most widely used improvement tech-
        ues were input to the program for computation of E  nique for initial phases from any source is that of
        values and to obtain a very straightforward solu-  statistical density modification (Cowtan and Main,
        tion for the centroids of the two clusters in the  1998; Cowtan and Zhang, 1999). SOLVE/RESOLVE
        asymmetricunitbyusingthephasesetwiththehigh-  has algorithms that implement such techniques
        est combined figure of merit. Although Patterson  (Terwilliger, 2001, 2002), as do programs in the CCP4
        methods have been used to determine substruc-  system (Project, 1994). Non-crystallographic sym-
        tures containing as many as 50 atoms (Terwilliger,  metry can also be used to improve the quality of
        1997a), Direct Methods are becoming increasingly  initial phases obtained from any source including
        popular for this purpose. For example, the 15  MAD phases.
        Se positions in selenomethionyl T7 DNA poly-  MAD phasing has, over the past decade, become
        merase were determined (Doublie et al., 1998) using  one of the most widely used techniques to determine
        SHELXS86 (Uson and Sheldrick, 1999). Newer pro-  macromolecular structures. Its increasing appeal can
        grams such as SnB (Howell, 2000) have also had  be attributed to a succession of advances in the theo-
        remarkable success in determining large substruc-  retical foundations, data measurement, processing,
        tures of anomalous scatterers in macromolecules.  and analysis as well as parallel developments in
        Thirty Se positions in selenomethionyl substituted  refinement of initially obtained phases. Currently
        S-adenosyl-homocysteine hydrolase (Turner et al.,  ongoing work, in extending data measurement at
        1998), 48 Se positions in the selenomethionyl EphB2  synchrotrons to longer wavelengths, is likely to per-
        receptor (Thanos et al., 1999), and 65 Se positions in  mit the use of K absorption edges of native sulphur
        selenomethionylADP-l-glycero-d-mannoheptose6-  atoms in proteins and phosphorous in nucleic acids
        epimerase (Deacon and Ealick, 1999) have all been  as potential MAD signal generators.
        successfully determined using SnB. The CCP4 pro-
        gram system also offers direct methods based tech-
                                                     Acknowledgements
        niques for determination of anomalous scatterer
        positions through the RANTAN (Yao, 1981) and  Thanks are due to Abdul Ajees for help in prepa-
        ACORN (Yao, 2002) programs.                  ration of the manuscript and to Larry DeLucas for
          In most cases, structures are determined from  support and encouragement. The research in my lab-
        MAD data measured on a single crystal. This makes  oratory is supported by NIH grants AI45623 and
        the processed data inherently more precise and accu-  AI51615 and by a Focused Giving grant from the
        rate, because scaling across crystals can be avoided.  Johnson & Johnson department of Corporate Science
        Asecond circumstance that contributes to the quality  and Technology.
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