ILcccivctl for pul~licntion 1;cl)ru:iry 4, 195.1 265 (2), onc c:in solvc for tlic conccntr:ition of tlic cornplcs. Sultstitiitiiig in cqu:itiini (3), wc 1i:rv.c ~vlicrc 1' is thc rntc of cnzymc syntlicsis at inducer sntur:ition for fisccl IT] and is crpnl to Ii'[r]. K. is tlic dissociation constant of thc Ti coniplry. Itcl:ition (4) is foriii:illy iclcnticnl to thc X~licli:it~lis-~~Icnteii crlri:ttioii. It cannot, Iiowcrer, lie cmployctl :IS hiith siiicc in .our rsi)criincntaI sptciii is riot corist:iiit with tinw. Sincc the intlurcr ciiiploycil is riot iiict:holizwl, [i] is con- st:int in :my givcii csl)rrin~rnt. Cloiiscriiicntlj-, 1' nil, tlicrcfow, [B] inust hc furlrtionx of tinic. TIN n:ittirc of tlic functian to lit: spccilictl is siiggcsted by Llic olwrv:itioii t1i:it tlic kinctics of cnzyiie syiitliosis in yc:ist untlcr tlic csptviiiiciitnl cowlitions cmploycil Iterc povcss :in csponcntinl pli:isc. \Yc :iswiiie, thci cforv, t1i:it B vwics cs- poiieiiti:illy with tim :iiiiI inrrr:iscs in tlic forni of thr, ai winp!cs. `l'tic I:dtvr t:hs :ircoiiiit of tlic f:wt th:it iiirrr:iv iii rrizytiic for riiiiifi r:ip:icity docs iiot take pl:u.c ii~il~ss iiitluccr in picscnt. Wc fintl tlirri tli:it dls' Ill ~ YucW'li]\l~li Kelt (5) \Vlicrc I" is tlic "Krowtli constant" of r nt sntiir:iting iiitliiccr conccntr:\tioiis, BO tlic value of it time zero, :uid fi. is tlic tlissoci:ttion constant of tlic ;ri-coniplcs. Fiil)stitutiiix (5) in (q), iiitcgr:tting and cv:ilir:ding tlic resulting corist:int yicklsL in 8- 6- nf the inducer is, froiii cqirntiori (7), fcmii:illy it1cntic:d to t he Xlic,li:~cli~-hIriit~,i~ rd:itioiisliip. Tlic 1rsri:i1 nirtliotls tii:iy lic cniplty.wl. tlimfnrc, on tlic rcsitlting t1:it:i to tlctcriiiiric tlicr I<, \dit? of a-mcthyl filucosicI(* :IS :in iniliiccr. Sliorild T turn out to 1)c tlic nizynic itself, tlrc f<, so.- dctcrniinctl shoiiltl coincide with t lint ol)t:iinetl in espcrinicnts Iiio:isuririg coml)iiintion I>ctrvccn a-methyl glticosidc :mtl tlic criaytiic. Rc mny stiniin:irix Iyc, I)ricfly, the tletnils of Iiow siich cul)criiiirnts were wriird out. I~spoticnti:il 1)Ii:isc cells wrc hnrvestctl :tiid wnshccl ininic(1i:itcly prior tlJ tlicir use. Tlicii thcy `sere siispcntlctl in nietliiim 13 to n tlcnsity of 2.5`1 ~ig tlry wiglit CJr cclls per nil. Iridiictions wrrc condiirtctl :it :i st!rios of a-nictliyl gliicosidc conccntrations in :icr:itrtl tirl)cs ;)lncwl in 11 wtcr bath liclrl :it 30 C. Air c.nct~y hourcc wis piovidctl in thc form of gliicosc :it :L cwiccntr:ttion of 3.3 nig pr nil. It h:d I)crn slirnvii in prcviniir espcrinirnts (Siiic~jiclru:in rind I I:ilvormi, 1 !GI) that this Irvcl tlocs not interfore with tlic onsrt or suhcquc`nl pioptw of in:tlt:iw \yiitlic4s. FoliowiIig tlic :itltlition of the itiditccr, s:rniplcs acrc reixivcd :it intcrwls, :iiitl tlicir ciizyrnc content st:iliilizrtl with rr1tr:rviolt~t liglit :IS dexcrilwd tinder AIctIiw{s. `I'hc cclls tlicii wrc aaslwl witti rliillwl wtw, I cwqvmkxl in 0.1 lr plioxpli:itc-sric,t.in:itc bdfcr :it 1111 4.5, nncl tlicir cnrymc :ictivity :is:iycd iii:inoiiictfic,:illy ovcr :L period of c;n niinritcs. At c:icli a-tncthyl gliicositlc conccntr:itioii htcd :i niininmii of tlircc s:iniplcs was tnkrri in the (q)onmti:il period of cnzynic form:ition for tlic tlcteriniii:ttioii of rate of cnaymc SJntlrrSis. It \v:1s f~illnd t1i:it :It tllC low lovcls of 0.151 n .O.Z n.010 0. I!` Iz' 0.1101 14.0 '""i. / 0 40. 80 120 IC0 200 I/S -- ~lf~:lIl. ...... ..... ...... - ....... 1'; _. ,' i fii I -. . _.- I .......