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computer modeling in molecular biology.pdf

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234 Oliver S. Smartl<strong>in</strong>k the eoc and pC1 conformations. The start<strong>in</strong>g path was set to three copies of thepC2 conformation. Table 8-2 shows that this run converged to the same result as theeoc to pC2 trial, clearly demonstrat<strong>in</strong>g the dependence of the result on the <strong>in</strong>itial setof mov<strong>in</strong>g positions taken. This dependence could be reduced by the use of a morepowerful optimization technique such as simulated anneal<strong>in</strong>g [49] - Table 8-2shows that the path with the higher peak energy has a higher objective function. Itis <strong>in</strong>terest<strong>in</strong>g to note that the f<strong>in</strong>al path does not approach the pC2 conformation- the closest position is r.m. s. 0.156 A with atom H2 be<strong>in</strong>g over l A from itsposition <strong>in</strong> pC2.Figure 8-6 shows the dist<strong>in</strong>ction between the two routes obta<strong>in</strong>ed for the transitionbetween the eoc and pC1 forms. The pr<strong>in</strong>ciple difference between the paths isthe behavior of the hydroxyl moiety H3-03. On the higher energy path this groupturns and po<strong>in</strong>ts toward the divalent metal ion creat<strong>in</strong>g an unfavorable .<strong>in</strong>teraction.In contrast the lower energy route has the dihedral angle 03-C3 chang<strong>in</strong>g <strong>in</strong> the oppositesense and the <strong>in</strong>teraction between the hydroxyl group and the metal ion neverbecomes unfavorable.I & M’I$# M1Figure 8-6. A comparison of the routes taken by substrate atoms <strong>in</strong> the different paths obta<strong>in</strong>edfor the conformational change between the eoc (dark l<strong>in</strong>es) and pC1 (open l<strong>in</strong>es) forms<strong>in</strong> D-xylose isomerase. Part (a) shows the routes for the higher energy path obta<strong>in</strong>ed froml<strong>in</strong>early <strong>in</strong>terpolated start<strong>in</strong>g conformations and (b) shows the lower energy path obta<strong>in</strong>ed byus<strong>in</strong>g the pC2 energy m<strong>in</strong>imum for the start<strong>in</strong>g conformations. In each case the transitionstate conformation is marked by grey l<strong>in</strong>es and the routes through space taken by hydrogenand oxygen atoms are shown by th<strong>in</strong> and dashed l<strong>in</strong>es respectively.

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