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Reactions on Polymers                                                        539




                                                                     OH
                                        O                                    OH
                                                                         +


                                  Receptor site




                                                        O






                 FIGURE 16.5  There are two major models for the binding of reactant molecules to the active sites of nonal-
                 losteric enzymes. The sequence describes the essential steps in the lock-and-key model, where the reactant(s)
                 is attracted to the active site on the enzyme where the active site is a cavity of the same general size, shape,
                 and (complementary) electronic features. Binding occurs and the appropriate reaction(s) occurs resulting in a

                 change in the geometry and electronic configuration of the product, causing its release. The second model (not

                 shown) is the induced-fit model where the individual steps are similar to the lock-and-key except the reactants
                 “induce” a change in the conformation of the active site on the enzyme, allowing it to accept the reactant(s).


                                                                    Rate independent of reactant
                                                                 C  concentration



                            Reaction rate  B




                                    Rate depends on
                                    concentration of reactant(s)

                            A

                                                Concentration of reactant(s)
                 FIGURE 16.6  Dependence of reaction showing sigmoidal (bottom) and hyperbolic (top) behavior. The top
                 plot also shows the initial rate of reaction as a function of reactant concentration when the concentration of
                 enzyme remains constant.


                 reacting molecule(s), E + M → EM is associated with k , and the reverse reaction associated with
                                                               1
                 k  and EM → E + P associated with k .
                                                2
                  −1
                                                    k        k
                                              E + M  1  EM    2  E + P                     (16.25)
                                                    k
                                                     −1
                    Here EM represents the enzyme complex and P the product(s). The rate of complex formation is
                 described as







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         K10478.indb   539                                                                    9/14/2010   3:43:10 PM
         K10478.indb   539
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