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CHAPTER 6

                       Solving the phase problem using

                       isomorphous replacement



                       Sherin S. Abdel-Meguid








        6.1 Introduction                             The addition of one or more heavy atoms to a macro-
                                                     molecule introduces differences in the diffraction
        From the mid 1950s, when it was first introduced,
                                                     pattern of the derivative relative to that of the native.
        till the mid 1990s, the method of isomorphous
                                                     If this addition is truly isomorphous, these differ-
        replacement played a central role in the determi-
                                                     ences will represent the contribution from the heavy
        nation of almost all unique macromoleular struc-
                                                     atoms only; thus the problem of determining atomic
        tures. Isomorphous replacement was the technique
                                                     positions is initially reduced to locating the position
        used in the first successful high-resolution struc-
                                                     of a few heavy atoms. Once the positions of these
        ture determination of a protein molecule, myoglobin
                                                     atoms are accurately determined, they are used to
        (Kendrew et al., 1958; Kendrew et al., 1960). It
                                                     calculate a set of phases for data measured from
        was developed by Perutz and coworkers in 1954
                                                     the native crystal. Although, theoretically, one needs
        (Green et al., 1954) while working on the structure
                                                     only two isomorphous derivatives to determine the
        determination of haemoglobin. The technique was
                                                     three-dimensional structure of a biological macro-
        introduced to solve the ‘Phase Problem’, the loss
                                                     molecule, in practice more than two are needed.
        during X-ray diffraction data measurement of the
                                                     This is due to errors in data measurement and scal-
        relative phase shifts associated with each diffrac-
                                                     ing and in heavy-atom positions, as well as lack of
        tion point (maximum). Although the amplitude of a
                                                     isomorphism.
        diffraction maximum can be directly measured from
                                                      The search for isomorphous derivatives is as
        diffractingcrystalsbycountingphotonsorrecording
                                                     empirical as searching for crystallization conditions.
        intensities, phasesareindirectlydeterminedbecause
                                                     Numerous heavy atoms must be screened before
        there are no lenses that can bend and focus X-rays.
                                                     finding the one or more that binds to the pro-
        Thus, the isomorphous replacement method was
                                                     tein without damaging the crystal. The soaking
        developed to computationally calculate phases from
                                                     of native crystals in a solution containing heavy
        the intensities of the diffracted waves.
                                                     atoms gives rise to one of four outcomes. The best
          The technique of isomorphous replacement
                                                     outcome would be an isomorphous heavy-atom
        requires the introduction of atoms of high atomic
                                                     derivative containing one or a small number of
        number (heavy atoms; Fig. 6.1) into the macro-
                                                     heavy atoms identically attached to each protein
        molecule under study without changing the crystal’s
                                                     molecule in the crystal, resulting in distinct changes
        unit-cell parameters or orientation of the protein in
                                                     between the diffraction patterns obtained from
        the cell (Abdel-Meguid, 1996). This is commonly
                                                     derivative and native crystals. At the other extreme,
        done by soaking native crystals in a solution con-
                                                     the soaking process results in no such detectable
        taining the desired heavy atom. The binding of these
                                                     changes when comparing native and derivative
        atoms to the functional groups of macromolecules is
                                                     crystals. The two remaining outcomes are either
        facilitated by the presence of large liquid channels
                                                     the native crystal gets destroyed during soaking or
        in crystals, in which the functional groups protrude.
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