← LS 1a: Life Sciences

Unit 4: Enzymes — Catalysis and Kinetics

How a protein bends the odds of a reaction, measures its own speed limit, and gets throttled by inhibitors and feedback.

10 topics · 35 questions

Each topic is a path, not a menu: work down it in order and every question builds on the one above. Click any of them to watch the answer draw itself.

Activation Energy and the Transition State

  1. How it worksHow does a reaction have to climb over an energy barrier at its transition state before it can reach its products?
  2. Common mistakeWhy doesn't a reaction's activation energy tell you anything about whether the reaction is spontaneous?
  3. Going furtherWhat happens to a reaction's rate when its activation energy barrier gets lowered?
Your turn1 of 2
A reaction has a large negative delta G, strongly favorable overall, but also a large activation energy barrier. A student argues that because the reaction is so thermodynamically favorable, its activation energy must be low too, since a strongly downhill reaction should have an easy path to get there. Why is this reasoning wrong?

How an Active Site Stabilizes the Transition State

  1. How it worksHow does an enzyme's active site bind the transition state more tightly than it binds the substrate itself?
  2. How it worksWalk me through how straining a bound substrate toward its transition-state shape lowers the energy needed to react.
  3. Common mistakeWhy doesn't an enzyme speed up a reaction by adding energy to the molecules reacting?
  4. Going furtherWhat happens to an enzyme's rate enhancement when a mutation weakens its grip on the transition state specifically?
Your turn1 of 2
An enzyme binds its substrate only moderately well, yet it binds the fleeting, high-energy transition state of that substrate far more tightly. A student assumes tighter binding to the transition state must be a side effect with no real bearing on catalysis. Why does this tighter binding actually matter?

Enzyme Specificity: Lock-and-Key Versus Induced Fit

  1. How it worksHow does an enzyme's active site reshape itself around a substrate in the induced-fit model?
  2. Common mistakeWhy isn't the lock-and-key model actually how most enzymes recognize their substrate?
  3. Going furtherWhat happens to an enzyme's specificity when induced fit lets its active site flex around several closely related substrates?
Your turn1 of 2
The lock-and-key model pictures an enzyme's active site as a rigid shape that a substrate simply drops into, unchanged, like a key into a lock. A student assumes this rigid picture is how most real enzymes actually recognize their substrates. What does the more accurate induced-fit model say instead?

Cofactors and Coenzymes

  1. How it worksHow does a metal ion cofactor sitting in an active site help stabilize a build-up of negative charge during catalysis?
  2. Going furtherWhat happens to an enzyme's activity when its dietary vitamin-derived coenzyme runs short?
  3. Ties togetherHow does an enzyme's coenzyme rely on the same molecular-recognition chemistry that lets the enzyme recognize its own substrate?
Your turn1 of 2
An enzyme has a perfectly shaped active site for its substrate, yet without a small, non-protein helper molecule bound in that site, it catalyzes nothing at all. A student assumes an active site's shape alone should be enough for catalysis, since it already fits the substrate. Why might a cofactor still be essential?

Michaelis-Menten Kinetics

  1. How it worksHow does an enzyme-substrate complex forming and breaking apart give rise to the Michaelis-Menten rate equation?
  2. Worked exampleFind the reaction velocity of an enzyme with a Vmax of 100 micromolar per minute and a Km of 5 millimolar at a substrate concentration of 5 millimolar.
  3. Common mistakeWhy doesn't an enzyme's rate keep climbing forever as you add more and more substrate?
  4. Going furtherWhat happens to an enzyme's velocity curve when you double the amount of enzyme in the reaction?
Your turn1 of 2
An enzyme has a Vmax of 137 micromolar per minute and a Km of 10 millimolar. Find its reaction velocity at a substrate concentration of 28 millimolar.

Km and Vmax: What They Actually Measure

  1. How it worksHow does Km capture both how tightly an enzyme grips its substrate and how fast it lets the substrate go?
  2. Worked exampleFind the substrate concentration needed to reach 90 percent of Vmax for an enzyme with a Km of 2 millimolar.
  3. Common mistakeWhy isn't a low Km the same thing as a fast enzyme?
Your turn1 of 2
An enzyme has a Km of 7 millimolar. Find the substrate concentration needed to reach 79 percent of Vmax.

Lineweaver-Burk Double-Reciprocal Plots

  1. How it worksHow does taking the reciprocal of both sides of the Michaelis-Menten equation turn a curve into a straight line?
  2. Worked exampleFind the y-intercept and x-intercept of a Lineweaver-Burk plot for an enzyme with a Vmax of 20 micromolar per minute and a Km of 4 millimolar.
  3. Going furtherWhat happens to a Lineweaver-Burk plot's slope and intercepts once the enzyme is mixed with a competitive inhibitor?
Your turn1 of 2
Find the y-intercept of a Lineweaver-Burk plot for an enzyme with a Vmax of 45 micromolar per minute.

Competitive Inhibition

  1. How it worksHow does a competitive inhibitor block an enzyme by physically occupying the same active site as its normal substrate?
  2. Common mistakeWhy doesn't a competitive inhibitor change an enzyme's actual maximum speed, Vmax?
  3. Going furtherWhat happens to an enzyme's apparent Km when a competitive inhibitor gets added to the reaction?
  4. Ties togetherHow does an HIV protease inhibitor drug use the same competitive-inhibition chemistry as any molecule that merely resembles the natural substrate?
Your turn1 of 2
A competitive inhibitor raises an enzyme's apparent Km by a factor of 6.03 while Vmax stays unchanged. If the enzyme's true Km is 7 millimolar, find its apparent Km with the inhibitor present.

Noncompetitive Inhibition

  1. How it worksHow does a noncompetitive inhibitor bind a site away from the active site and still shut catalysis down?
  2. Worked exampleFind an enzyme's apparent Vmax once a noncompetitive inhibitor cuts its uninhibited Vmax of 80 micromolar per minute in half.
  3. Common mistakeWhy doesn't adding more substrate reverse the effect of a noncompetitive inhibitor?
  4. Going furtherWhat happens to an enzyme's Lineweaver-Burk plot when a noncompetitive inhibitor is added instead of a competitive one?
Your turn1 of 2
A noncompetitive inhibitor cuts an enzyme's uninhibited Vmax of 114 micromolar per minute down to a fraction of 0.589 of its original value. Find the new apparent Vmax.

Allosteric Regulation and Feedback Inhibition

  1. How it worksHow does an allosteric inhibitor binding away from the active site push an enzyme toward its low-activity shape?
  2. How it worksWalk me through how phosphorylating an enzyme can flip it between an active and an inactive conformation.
  3. Going furtherWhat happens to a whole metabolic pathway's output when its feedback-inhibited enzyme gets a mutation that blocks the regulatory site?
  4. Common mistakeWhy isn't allosteric feedback inhibition the same mechanism as competitive inhibition at the active site?
Your turn1 of 2
A ten-step metabolic pathway builds up its final product, and that final product then binds and shuts off the very first enzyme in the pathway, far upstream. A student assumes this must be wasteful, since the first enzyme is not directly involved in making the final product. Why is shutting off the first enzyme actually an efficient strategy?