【正文】
fied to: ? K1 PEESSE ??k1 K1 k2 PEESSE ??k1 k2 K2 Rate Law in Enzyme Catalyzed Reactions ? Rate law still applies in enzyme catalyzed reactions. ? The forward velocity, or rate, vf is, ? The reverse velocity or rate, or the rate of disappearance vd is, ? At steady state, there is no accumulation of [ES], thus: PEESSE ??k1 K1 k2 ? ?? ?SEkv f 1?? ? ? ? ? ?ESkkESkESkv d )( 2121 ???? ??df vv ?Derivation of MichaelisMenten Equation ? We need one more condition, that is, the total enzyme concentration, [Et] is the sum of that of enzymesubstrate plex, [ES], and that of free enzyme, [E]: ? At steady state, the forward rate should equal to the reverse rate: ? Rate of production formation (rate law), v = k2[ES]. So: ? ? ? ? ? ? ? ? ? ?? ? ? ?? ? ? ?? ? ? ?? ? ? ? ? ?? ? ? ? ? ?? ? ? ?? ?? ?? ?? ?? ?? ? ? ?? ?? ? mtkkkKttttttKSSEESkkkSSEkkSkSEkESkkSkESSEkESkkSESkEkESkkSESkSEkESkkSESEkm?????? ??????????????????????????????????121 )(1212111211121112111211)())(())(()()()()(? ? ? ? ? ?EESE t ?? ? ?? ? ? ? ? ? ? ?SESEkSEkv tf )(11 ???? ?? ?? ?mtKS SEkv ?? 2米氏方程的推導(dǎo) ? 假定 νf表示 ES形成的速度 , νd為 ES解離的速度 , 那么 νf= k1[E][S], 即νd= k1[ES]+k2[ES]=(k1+k2)[ES] ? 在穩(wěn)態(tài)時(shí) , ES形成的速度與 ES解離的速度相等 , 因此 νd= νf。 ? 即 k1[E][S]= (k1+k2)[ES] ① ? 假定 [Et]表示酶的總濃度 , [E]表示游離的酶濃度 , [ES]為與底物結(jié)合的酶濃度 , 則 [Et]= [E]+[ES]。 于是 , ① 式可變?yōu)椋? ? 由于酶促反應(yīng)的初速度即是產(chǎn)物形成的速度,ν= k2[ES],于是, ? 當(dāng) [S]→∞ ,酶被底物飽和,這時(shí)的反應(yīng)速度為最大反應(yīng)速度 Vmax,即 ? 最后,米氏方程可重寫成: Notes on the MM Equations ? The rate of production formation can usually be measured experimentally by monitoring the progress curve of production formation. ? The maximum rate can be reached at saturating substrate concentration, or when [S] So MM equation can be rewritten as: ?? ?