Enzymes: Catalysis, Kinetics & Regulation

BCH 100 — Introductory Biochemistry · Dr. Radi

build Jul 17 · 19:00 · CC BY-NC-SA 4.0 · owned figures (RDKit / matplotlib / PyMOL)
Dr. Radi

By the end of this unit, you can…

  • Explain how enzymes accelerate reactions by lowering activation energy without changing ΔG
  • Describe the active site and induced fit, classify enzymes, and interpret Michaelis–Menten and Lineweaver–Burk plots
  • Distinguish the modes of regulation (inhibition, allostery, covalent modification, zymogens) and walk the chymotrypsin catalytic-triad mechanism
Dr. Radi

Today's route 🗺️

  1. Enzymes — Catalysis & the Active Site
  2. The Six Classes of Enzymes
  3. Michaelis–Menten Kinetics
  4. The Lineweaver–Burk Plot
  5. Enzyme Inhibition
  6. Allosteric Regulation & Feedback
  7. Covalent Modification & Zymogens
  8. Chymotrypsin — the Catalytic Triad in Action
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1 · Enzymes — Catalysis & the Active Site

"Explain how enzymes speed reactions by lowering activation energy, and how the active site grips the substrate."

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What an enzyme does

Enzymes are the cell's catalysts — almost always proteins. One can speed a reaction up by a million-fold or more, come out unchanged at the end, and it is exquisitely specific for its substrate.

enzyme changes the rate, not the ΔG
it can't make an unfavorable reaction favorable — only faster
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It lowers the activation energy

Every reaction has an energy hill — the activation energy (Eₐ) — between reactants and products. An enzyme doesn't flatten the valley (ΔG is unchanged); it carves an easier path over the hill, stabilizing the shaky transition state so far more molecules make it across.

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The active site & induced fit

The substrate binds a small, precisely-shaped pocket — the active site. It's not a rigid lock: as the substrate settles in, the enzyme closes around it (induced fit), squeezing it toward the transition state. That snug grip is where the specificity — and the catalysis — comes from.

Induced-fit diagram: TimVickers, Wikimedia Commons, public domain
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2 · The Six Classes of Enzymes

"Sort any enzyme into one of the six classes by the reaction it catalyzes."

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Six classes of enzymes

The Enzyme Commission sorts every enzyme into six classes — by the reaction it catalyzes, not by what it acts on.

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Naming them

Most enzyme names tell you the class: they end in –ase and often name the substrate or reaction — lactase splits lactose, DNA polymerase builds DNA, alcohol dehydrogenase removes hydrogens.

substrate/reaction + –ase → the enzyme's name
a few keep old names: pepsin, trypsin, chymotrypsin (all proteases)
Quick check: an enzyme that adds water to break a bond is a hydrolase; one that joins two molecules using ATP is a ligase.
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3 · Michaelis–Menten Kinetics

"Read an enzyme's saturation curve and interpret Vmax and Kₘ."

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How fast does an enzyme go?

Measure the initial rate (V₀) at different substrate levels. At low [S] the rate climbs steeply — plenty of free enzyme. At high [S] it flattens out: every enzyme is busy, so the enzyme is saturated and can't go faster.

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The Michaelis–Menten curve

That saturating shape is described by two numbers. Vmax is the top speed, when every active site is full. Kₘ is the substrate concentration that gives ½ Vmax — a handy stand-in for how tightly the enzyme grabs its substrate.

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What Vmax and Kₘ tell you

  • Vmax — flat-out speed; more enzyme (or a faster k꜀ₐₜ) raises it.
  • Kₘ — the [S] at half-speed. Low Kₘ = high affinity (the enzyme grabs substrate even when it's scarce).
This is why alcohol "tolerance" varies: the Kₘ of your alcohol dehydrogenase helps set how fast you clear a drink.
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4 · The Lineweaver–Burk Plot

"Linearize the Michaelis–Menten curve to read Vmax and Kₘ straight off a line."

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Straightening the curve

The Michaelis–Menten curve is a hyperbola — and Vmax is that ceiling you only approach, so it's hard to pin down by eye. The fix: take the reciprocal of both sides. A hyperbola flips into a straight line, and a line is easy to read exactly.

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The Lineweaver–Burk plot

Plot 1/V₀ against 1/[S] and everything falls on one line: the y-intercept is 1/Vmax, the x-intercept is −1/Kₘ, and the slope is Kₘ/Vmax. Read all three constants straight off — lines are so much easier to interpret!

It's also how you spot inhibitors: each type of inhibitor moves these intercepts in its own tell-tale way.
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5 · Enzyme Inhibition

"Tell competitive from noncompetitive inhibition by how each moves Vmax and Kₘ on a Lineweaver–Burk plot."

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Slowing an enzyme down

An inhibitor is any molecule that makes an enzyme run slower. The two classic reversible types differ only in where they bind:

  • Competitive — binds the active site, fighting the substrate for the same spot. Pile on more substrate and you out-compete it.
  • Noncompetitive — binds somewhere else and bends the enzyme out of shape. More substrate can't rescue it — the spare enzyme is just broken.
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Reading it on a Lineweaver–Burk

The double-reciprocal plot diagnoses the type at a glance. Competitive lines share the y-intercept — same Vmax, but Kₘ rises (you need more substrate). Noncompetitive lines share the x-intercept — same Kₘ, but Vmax falls.

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In the body: most drugs are inhibitors

Blocking one enzyme is how a huge share of medicine works. Aspirin shuts down COX so you make less of the prostaglandins behind pain and fever; penicillin jams the enzyme bacteria use to build their cell wall, so they burst. Both bind irreversibly — the enzyme never comes back.

Same trick, more examples: statins block cholesterol synthesis (competitive), methotrexate blocks DNA-precursor synthesis in chemo.
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6 · Allosteric Regulation & Feedback

"Read a sigmoidal kinetic curve and explain how allosteric effectors and feedback inhibition tune a pathway."

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Regulators that never touch the active site

Allosteric enzymes have a second pocket — the allosteric site. When a regulator binds there, the whole enzyme changes shape, and every active site feels it. These enzymes usually have multiple subunits that bind substrate cooperatively, just like hemoglobin binds O₂.

bind the allosteric site → shift the shape → change activity at all active sites
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The sigmoidal curve

Cooperativity bends the Michaelis–Menten hyperbola into an S-shape — flat, then a steep switch-like turn-on. An activator slides the curve left (active at lower substrate); an inhibitor slides it right. That steepness makes the enzyme a sensitive switch, not a gentle dial.

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Feedback inhibition

The smartest place to regulate a pathway is the first committed step. So the end product loops back and shuts off the first enzymefeedback inhibition. When you have plenty of D, you stop spending A to make more. Simple, fast, and it keeps the cell from wasting materials.

Textbook case: the amino acid isoleucine feedback-inhibits the very first enzyme that starts building it from threonine.
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7 · Covalent Modification & Zymogens

"Contrast a reversible phosphorylation switch with the one-way activation of a zymogen."

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A reversible switch: phosphorylation

Attach a phosphate to a Ser, Thr, or Tyr and the enzyme's activity flips. A kinase adds it (spending ATP); a phosphatase takes it back off — so the switch runs both ways, on demand.

This is how adrenaline gets you moving: it switches on glycogen phosphorylase to break down glycogen and free up glucose.
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A one-way switch: zymogens

Some enzymes are made as inactive precursorszymogens. A single proteolytic cut snips out a piece and locks them on for good. There's no going back — you can't glue the peptide back on — so it's perfect for a commit-once signal.

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In the body: safety and cascades

Your digestive enzymes are built as zymogens so they don't digest the pancreas that makes them — they're only cut open once they reach the gut. When that safety fails and trypsin activates early, the pancreas starts digesting itself: pancreatitis.

zymogen → one cut → active enzyme
blood clotting is a whole cascade of these one-way cuts, each zymogen switching on the next
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8 · Chymotrypsin — the Catalytic Triad in Action

"Take chymotrypsin apart: the Ser–His–Asp triad, the oxyanion hole, and the two-step acylation/deacylation cut."

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Meet chymotrypsin: the gut's scissors

Chymotrypsin is a serine protease — it snips peptide bonds using one supercharged serine. And it's picky: it prefers to cut on the carbonyl side of the big aromaticsPhe, Tyr, Trp — whose fat rings drop into a deep pocket.

Built in the pancreas as an inactive zymogen (chymotrypsinogen) — one snip switches it on, so it can't digest you on the way out.
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The real enzyme

Here's chymotrypsin itself — two β-barrel domains packed together, with the active site tucked into the cleft between them. Everything we're about to unpack sits right there, at the bottom of that groove.

Structure: RCSB PDB, PDB 4CHA (rcsb.org)
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The catalytic triad: Ser–His–Asp

Three residues, far apart in sequence but folded shoulder-to-shoulder, make a charge relay: Asp102 props up His57, and His57 rips the proton off Ser195 — turning its sleepy –OH into a fierce nucleophile.

KNOW THE TRIAD: Ser 195 · His 57 · Asp 102 — Ser does the attacking.
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Half 1: acylation

Ser–O⁻ slams into the carbonyl carbon → a shaky tetrahedral intermediate whose negative oxygen is hugged by the oxyanion hole. The peptide breaks, the first product (the new amino end) walks off, and the enzyme is left wearing the acyl piece.

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Half 2: deacylation

Now water finishes the job. His57 pulls a proton off it so it can attack the acyl-enzyme — a second tetrahedral intermediate in that same oxyanion hole — and the second product leaves as a –COOH. Ser–OH is reborn, ready to cut again.

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Watch the burst — how we assay it

Feed chymotrypsin a fake substrate that spits out a yellow dye when cut, and track the color over time. You get a fast burst — one quick acylation per active site — then a slow, steady climb. That two-speed shape is the smoking gun for the acyl-enzyme intermediate.

Assay = measure how fast the yellow (A₄₁₀) builds up. Faster color = more active enzyme.
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In the body: one machine, many jobs

Swap the pocket and you get a whole protease family — trypsin cuts after Lys/Arg, elastase after tiny residues — same triad, same mechanism. They run digestion, blood clotting, and immune defense. They're also a target: nerve agents and DFP glue that catalytic Ser shut for good — irreversible poisoning.

Dr. Radi

Can you…?

  • ☐ explain how enzymes accelerate reactions by lowering activation energy without changing ΔG?
  • ☐ describe the active site and induced fit, classify enzymes, and interpret Michaelis–Menten and Lineweaver–Burk plots?
  • ☐ distinguish the modes of regulation (inhibition, allostery, covalent modification, zymogens) and walk the chymotrypsin catalytic-triad mechanism?

If any box stays empty, the practice site has a drill for it. 🧪

Dr. Radi