BIOC 2300 Lecture Notes - Lecture 11: Rate-Determining Step, Enzyme Kinetics, Reaction Rate

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Enzyme Kinetics and Inhibition
January 29th, 2016
Rate of Enzymes and Catalyzed Reactions:
Enzyme kinetics is used to determine quantitative relationships
A progress curve is used to measure product formation as a function of time
v = d[P]/dt
V0 (initial velocity) is linear at first but may decrease due to product inhibition as the
equilibrium is approached or by enzyme inactivation
The rate of product formation will generally increase with the amount of enzyme present
*doubles with twice as much enzyme
Rate equations describe chemical processes
A unimolecular reaction has a velocity that is dependent on the concentration of only one
substrate
v = K[A] *K=rate constant
a biomolecular (2nd order) reaction has a velocity dependent on the concentrations of two
substrates
v = K[A][B]
Velocity vs. Substrate Concentration
binding equilibrium with ES: k1/k-1
k2 will often be slower (rate determining step):
o v = d[P]/dt = k2[ES]
rate depends on [ES] highest when E is saturated with S
thus, the velocity vs [S] curve will be hyperbolic (like the binding of O2 to Mb)
Derivation of the Michaelis-Menten Equation
assume [E]<<[S] and [P] is negligible
assume that [ES] remains steady: d[ES]/dt = 0
[E]total[S] [ES][S] = [ES](k-1 +k2 / k2)
KM = Micheaelis Constant = (k-1 +k2 / k2)
The Michaelis-Menten equation is hyperbolic
o v = (Vmax[S])/(KM + [S]) *** first order reaction
o Vmax is where the reaction velocity reached its plateau
o KM is the substrate concentration ½ Vmax
If affinity for substrate increases, KM must be less (pushed curve to the left) **inversely
proportional
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