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Sec. 7.4   Enzymatic Reaction Fundamentals                     383
                                     For the free-radical polymerization in which termination is by transfer to
                                the moi,omer or a chain transfer agent and by addition, the kinetic chain length is
                                       v  -rP-            kp MR*         -       kP
                                                                         -
                                         N----
                                             r,   k,,MR*  + k,(R*)2 + k,,  R*C  k,,M  + k, R* + k,,C

                                                                  kP                         (7-71)
                                                  1  ‘N=  kr,,,M+(2k,k,Z, f)”*+k,,C

                                     For termination by combination



                                 and Cor  termination by disproportionation



                                     Excellent  examples  that  will  reinforce  and  expand  the  principles  dis-
                                 cussed in this section can be.found  in Holland  and Anthony,12 and the rleader
                                 is encouraged to consult this text as the next step in studying polymer reaction
                                 engineering.


                                 7.4  Enzymatic Reaction Fundamentals

                                      7.4.1  Definitions and Mechanisms

                                      Another  class  of  reactions  in  which the  PSSH  is used  is the  enzymati-
                                 cally  catalyzed  reaction,  which  is characteristic  of  most  biological  reactions.
                                 An enzyme, E, is a protein or proteinlike substance with catalytic properties. A
                                 substrate,  S, is the substance that is chemically transformed at an accelerated
                                 rate  because  of  the  action  of  the  enzyme  on  it.  An  important  propenty  of
                                 enzymes  is  that  they  are  specific in  that  one  enzyme  can  catalyze  only  one
                                 reaction. Far example, a protease hydrolyzes onZy bonds specific between spe-
                                 cific  #amino acids  in  proteins,  an  amylase  works  on  bonds  between  glucose
                                 molecmles in starch, and liptase attacks fats, degrading them to fatty acids and
                                 glycerol. Consequently, unwanted products are easily controlled. Enzymes are
                                 produced  only  by  living  organisms,  and  commercial  enzymes  are  generally
                                 produced  by  bacteria.  Enzymes  usually  work  (i.e.,  catalyze  reactions)  under
                                 mild conditions: pH 4 to 9 and temperatures 75 to  160°F.
                                      Figure 7-10 shows the schematic of  the enzyme chymotrypsin. In many
                                 cases  the  enzyme’s  active catalytic  sites  are  found  where  the  various  loops
                                 interact. For chymotrypsin the catalytic sites are noted by the numbers 57, 102,
                                 and 195 in Figure 7-10. A number of  structures of  enzymes or pertinent infor-
                                 mation can be found on the following WWW sites:


                                 ‘*C. D. Holland and R. G. Anthany, Fundamentals of Chemical Reaction Engineering,
                                  2nd ed., Prentice Hail, Upper Saddle River, N.J., 1977, p. 457.
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