How do enzyme-catalyzed reactions differ from simple first-order reactions?
They show saturation kinetics: first-order at low [S], zero-order at high [S].
What causes zero-order kinetics in enzyme-catalyzed reactions?
What is the fundamental equation of enzyme kinetics
The Michaelis-Menten equation.
What is assumed in Michaelis-Menten kinetics?
Formation of ES complex, and slower breakdown of ES to product.
What does 𝐾𝑚 represent?
substrate concentration reaction velocity is half of Vmax; reflects enzyme’s affinity for substrate.
What does a low 𝐾𝑚 mean
High enzyme-substrate affinity
What is Vmax?
The maximum velocity when enzyme is saturated with substrate.
What is Kcat
Turnover number—substrate molecules converted to product per enzyme per unit time.
What is the Michaelis-Menten equation?
v=(Vmax[S])/([S]+Km)
in Michaelis-Menten kinetics, what remains constant during much of the reaction?
The concentration of the ES complex.
Why is Vmax never truly reached?
It would require every enzyme molecule to be bound to substrate
How does the Michaelis-Menten equation combine kinetics?
First-order at low [S], zero-order at high [S].
What shape does the Michaelis-Menten curve follow?
A rectangular hyperbola.
What does 𝑘cat (turnover number) represent?
Substrate molecules converted to product per enzyme per unit time at saturation.
How is 𝑘cat related to Vmax
kcat=Vmax/[Et]
What does 𝑘cat/Km measure?
catalytic efficiency of an enzyme
Why is 𝑘𝑐𝑎𝑡/Km called a “second-order rate constant”?
reflects enzyme performance at low [S]
What is the upper limit of 𝑘𝑐𝑎𝑡/Km
The diffusion limit (rate at which E and S collide).
What is the Lineweaver-Burk equation used for?
To linearize the Michaelis-Menten equation for easier determination of 𝐾𝑚 and 𝑉𝑚𝑎𝑥
.
What does a Lineweaver-Burk plot graph?
1/v vs 1/[S], yielding a straight line.
Why is the Hanes-Woolf plot often preferred?
It has smaller, more consistent errors compared to Lineweaver-Burk.
How does pH affect enzyme activity?
By altering ionizable side chains, substrate groups, and enzyme structure.
Why do enzymes have an optimal pH range?
Because pH affects substrate binding (Km), catalysis (Vmax), or both.
How does temperature affect enzyme-catalyzed reaction rates?
Rates generally increase with temperature until enzymes begin denaturing.