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computer modeling in molecular biology.pdf

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4 Molecular Dynamics and Free Energy Calculations 85p protons which are part of the backbone whose movement reflects more closely theslower overall tumbl<strong>in</strong>g motion of the prote<strong>in</strong>. The small diffusion coefficient of theLys [ protons can be expla<strong>in</strong>ed by the fact that 3 out of the 4 considered lys<strong>in</strong>es are<strong>in</strong>volved <strong>in</strong> electrostatic <strong>in</strong>teractions with negatively charged prote<strong>in</strong> groups andtherefore do not move freely.Comparison of the data <strong>in</strong> columns 1 and 2 of Table 4-3 reveals clearly that thediffusion coefficients of the reference proton are virtually identical to those of theslowest water molecules <strong>in</strong> their first solvent shell. There is one exception however:the lys ( protons diffuse 3 times slower than their most slowly mov<strong>in</strong>g first shellwaters.The above results taken together <strong>in</strong>dicate that the motion of water molecules <strong>in</strong>the first solvation shell is <strong>in</strong>fluenced by the presence of prote<strong>in</strong> groups and possiblyeven coupled to their movements.It is <strong>in</strong>terest<strong>in</strong>g that no difference is detected <strong>in</strong> the dynamic behavior of watermolecules surround<strong>in</strong>g polar and hydrophobic groups, a result, which if confirmed,may have an important bear<strong>in</strong>g on our understand<strong>in</strong>g of the hydrophobic effect. Onesees <strong>in</strong>stead that water molecules <strong>in</strong> contact with groups that are close to or part ofthe prote<strong>in</strong> backbone (fe the amide and p protons) move more slowly than those <strong>in</strong>contact with flexible sidecha<strong>in</strong>s (fe 6 and (protons). This may be due to the fact thatthe movement of water molecules near the polypeptide backbone is hamperedthrough partial shield<strong>in</strong>g from the bulk by nearby sidecha<strong>in</strong>s, or through the comb<strong>in</strong>ed<strong>in</strong>fluence of <strong>in</strong>teractions with other backbone atoms. Similar observationsabout the slower movement of water molecules near the backbone than nearsidecha<strong>in</strong> groups were also made <strong>in</strong> a recent analysis of a 1 ns (1 ns = s)simulation of solvated Bov<strong>in</strong>e Pancreatic Tryps<strong>in</strong> Inhibitor (BPTI) [26].The slow diffusion coefficient of the ( protons relative to that of their surround<strong>in</strong>gwater molecules is <strong>in</strong>terest<strong>in</strong>g. It suggests loose coupl<strong>in</strong>g between the movementof these water molecules and that of the positively charged prote<strong>in</strong> group. Whetherthis is a general behavior of water surround<strong>in</strong>g positively charged groups rema<strong>in</strong>s tobe seen.A more exhaustive analysis, where averag<strong>in</strong>g is performed on larger ensembles,is clearly needed to verify these observations and to ga<strong>in</strong> further <strong>in</strong>sight.

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