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256                          10.  Research methods in flow assurance

                 macromolecule and the initial position on the crystal surface, and Φ is the angle of the macro-
                 molecule rotation about its center line relative to the initial position. The macromolecule was
                 flat, relative to the surface, keeping the sixth variable 0 fixed. The intermolecular energy (po-
                 tential energy between molecules in current conformation relative to infinitely distant mole-
                 cules) was monitored during the docking. The conformation with the lowest intermolecular
                 energy was chosen as the preferred orientation of the macromolecule on the crystal surface.
                 A typical value of the interaction energy prior to the relaxation of the macromolecule on the
                 crystal surface was of the order of tens of kilocalories per mole. The energy of the whole sys-
                 tem was minimized (the macromolecule was relaxed on the crystal surface). The final system
                 energies are given in Table 10.9.

                 Data analysis
                   One run was performed for each polymer chain. For each run the following final values
                 were inspected:
                 (a)  The number of hydrogen bonds between the macromolecule and water molecules
                    of the crystal. Hydrogen bonds were defined by the following default values stored
                    in SYBYLQ two water molecules were found to be hydrogen bonded if the length of
                    hydrogen bond were less than or equal to 0.285 nm and the HO-----H angle >120%.



                 TABLE 10.9  Analysis of macromolecules docking on crystals.
                                   Intermolecular        Number of             Pattern of
                                   energy, kcal/mol      hydrogen bonds a      adsorption sites
                 Winter flounder polypeptide on
                 ice 011           1742                  4 (100%)              Yes (1.69 nm)
                 ice 101           −19,850               4 (100%)              Yes (1.69 nm)
                 ice 110           −19,924               4 (100%)              Yes (1.69 nm)
                 sI hydrate        −5245                 0 (0%)                Yes (1.69 nm)
                 sII hydrate       −12,696               4 (100%)              Yes (1.69 nm)
                 VC-713 on
                 sI hydrate        751,600               0 (0%)                Some (3.69 nm)
                 sII hydrate       731,594               1 (33%)               No
                 PVP on
                 sI hydrate        −5065                 0 (0%)                Yes (0.6 nm)
                 sII hydrate       −12,495               1 (33%)               Some (1.87 nm)
                 PVCap on
                 sI hydrate        −5057                 0 (0%)                Yes (0.6 nm)
                 sII hydrate       −12,504               0 (0%)                No
                 a  Percentage of bonding at available sites on macromolecule.
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