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Molecular modeling                         253

              The first hypothesis was based upon a similarity to the inhibition of ice growth. Polypeptides
            present in the blood of the winter flounder allows it to survive the Arctic sea temperatures of
            270.9 K. The structure of this polypeptide is described later in this chapter. It was shown (Knight
            et al., 1993) that polypeptide adsorption on the ice surface prevents further crystal growth. We
            hypothesized that adsorption on the hydrate surface might prevent hydrate growth just as in
            ice. This hypothesis is addressed in Section “Docking of macromolecules on hydrate and ice”.
              The second hypothesis was that hydrate inhibition is not the result of a crystal surface
            interaction, but that of interaction with the bulk liquid. The hypothesis was that the poly-
            mer changes the structure of water, making hydrate formation entropically unfavorable.
            This hypothesis is addressed in Section “Studying of kinetic inhibitor interaction with water:
            Solvation of the polymer in the bulk water”.

            Docking of macromolecules on hydrate and ice

            Introduction
              The first portion of the computer study was directed to provide evidence for (or against) the
            adsorption hypothesis. Evidence was obtained that some of the polymeric hydrate inhibitors
            with relatively simple structures like polyvinylpyrrolidone (PVP) and polyvinylcaprolactam
            (PVCap) might adsorb on the surface of hydrate crystal. This adsorption was hypothesized to
            be similar to adsorption of the winter flounder polypeptide on a plane of growing ice.
            Method of research
              The molecular simulation program SYBYL® (version 6.01), a product of Tripos Associates,
            Inc., was used to perform the docking studies. Docking of the winter flounder polypeptide
            was simulated on three different surfaces of ice-I, and on crystal surfaces of sI and sII hy-
            drate. The sequence of the aminoacids chemical formula of the winter flounder polypeptide
            is shown here. Docking of the hydrate inhibitor polymers VC-713, PVP, PVCap shown in
            Fig. 10.20 was performed on crystal surfaces of sI and sII hydrate. The crystal surface and
            each macromolecule were docked in vacuo and the intermolecular energy was estimated for
            different conformations.
              Adsorption energy was the main parameter studied in this calculation. The energy of ad-
            sorption is a measure of the interaction between the inhibitor and the water crystal (ice or
            gas hydrate). Both the polymer (inhibitor macromolecule) and the site (hydrate or ice crys-
            tal) were positioned by SYBYL® in the two separate molecular areas. The interaction of the
            polymer with hydrate was calculated on an atom-to-atom and charge-to-charge basis which
            accounted for each water molecule in the hydrate lattice. The interaction energy accounts for
            the steric (van der Waals) and electrostatic (Coulombic) interactions.
              The energy of interaction is zero at infinite separation of the site and the polymer, and it is
            a potential function of distance between interacting sites. A review of potential functions was
            presented by Prausnitz et al. (1986, sec. 5.5). The lowest interaction energies obtained in this
            study cannot be viewed as absolute minima. The number of possible configurations of poly-
            mer on the crystal surface is nearly infinite, only limited by computer precision. The energies
            obtained energies represent local minima in energy and the best attempt of the author within
            the available resources.
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