BIO 311 Chapter Notes - Chapter 7.5: Reaction Rate, Reaction Rate Constant, Enzyme

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Michaelis-Menten Kinetics
• A useful odel fo the kietis of eze-catalyzed reactions
• Basi odel fo o-allosteric* enzymes (hyperbolic curve see page 151)
• The eze-catalyzed reaction can be summarized by the equation -
note the assumption that the product is not converte
Fig. 6-8, p. 153
Michaelis-Menten Kinetics
• Iitial ate of a eze-catalyzed reaction versus substrate
concentration
• The ate ad oseed kietis of a ezati eatio deped o the
substrate concentration
• The iitial eloit Viit o V is the iitial ate at hih S is oeted
to P
Michaelis-Menten Model
• Fo a eze-catalyzed reaction, the rates of formation and
breakdown of ES are given by these equations
• Ezes ae apale of poessing substrate very efficiently,
and a steady state is reached where the rate of formation of
ES equals the rate of its breakdown
rate of formation of ES = k1[E][S]
rate of breakdown of ES = k-1[ES] + k2[ES]
k1[E][S] = k-1[ES] + k2[ES]
E + S ES P
k1
k-1
k2
Michaelis-Mete Model Cot’d
• Whe the stead state is eahed, the oetatio of fee
enzyme is the total less that bound in ES
• Sustitutig fo the oetatio of fee eze ad
collecting all rate constants in one term gives equation two
above
• Whee KM is alled the Mihaelis ostat
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[E] = [E]T - [ES]
([E]T - [ES]) [S]
[ES]
k-1 + k2
k1
= = KM
The Michaelis Constant - KM
• The KM is a easue of eze sustate
binding (also referred to as affinity) that
also considers the catalytic activity
([E]T - [ES]) [S]
[ES]
k-1 + k2
k1
= = KM
Michaelis-Mete Model Cot’d
• It is o possile to sole fo the oetatio of the
enzyme-substrate complex, [ES]
• O alteatiel;
[ES] =
[E]T [S]
KM + [S]
[E]T [S] - [ES][S]
[ES]
= KM
= KM[ES]
[E]T [S] = [ES](K M + [S])
[E]T [S] - [ES][S]
Michaelis-Mete Model Cot’d
Vinit = k2[ES] =
k2[E]T [S]
KM + [S]
Vinit = Vmax = k2[E]T
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Document Summary

Es equals the rate of its breakdown rate of formation of es = k1[e][s] rate of breakdown of es = k-1[es] + k2[es] k1[e][s] = k-1[es] + k2[es] E + s es p k1 k-1 k2. [e] = [e]t - [es] ([e]t - [es]) [s] The michaelis constant - km: the km is a (cid:373)easu(cid:396)e of e(cid:374)z(cid:455)(cid:373)e su(cid:271)st(cid:396)ate binding (also referred to as affinity) that also considers the catalytic activity ([e]t - [es]) [s] Michaelis-me(cid:374)te(cid:374) model (cid:894)co(cid:374)t"d(cid:895: it is (cid:374)o(cid:449) possi(cid:271)le to sol(cid:448)e fo(cid:396) the (cid:272)o(cid:374)(cid:272)e(cid:374)t(cid:396)atio(cid:374) of the enzyme-substrate complex, [es, o(cid:396) alte(cid:396)(cid:374)ati(cid:448)el(cid:455); [es] = [e]t, the reaction proceeds at its maximum possible rate: su(cid:271)stitute v(cid:373)a(cid:454) fo(cid:396) k(cid:1006)[e]t i(cid:374) the e(cid:395)uatio(cid:374) a(cid:271)o(cid:448)e. Michaelis-me(cid:374)te(cid:374) model (cid:894)co(cid:374)t"d(cid:895: the (cid:396)ea(cid:272)tio(cid:374) (cid:396)ate, (cid:449)he(cid:374) the e(cid:374)z(cid:455)(cid:373)e is (cid:272)o(cid:373)pletel(cid:455) satu(cid:396)ated (cid:449)ith substrate is the vmax for the enzyme - can be estimated from the graph, the (cid:448)alue of k(cid:373) (cid:272)a(cid:374) also be estimated from the graph.

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