🧪 Biochemistry · Enzymes

Enzyme tricks that make kinetics click

Km, Vmax, inhibition, and cofactors — mastered.

⚙️ Enzymes

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Michaelis Constant (Km)
Low Km = high affinity. High Km = low affinity. Km = [S] at ½ Vmax.
Michaelis Constant (Km)
Km tells you how tightly the enzyme binds its substrate
Km = substrate concentration at half-maximal velocity. Low Km: enzyme achieves half-Vmax at low substrate → tight binding, high affinity. Km doesn't change with enzyme concentration.
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🃏 Michaelis Constant (Km)
Km — what does it measure, and what does a low Km mean?
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🃏 Answer
Low Km = high affinity. High Km = low affinity. Km = [S] at ½ Vmax.
Michaelis Constant (Km) — Km = substrate concentration at half-maximal velocity. Low Km: enzyme achieves half-Vmax at low substrate → tight binding, high affinity. Km doesn't change with enzyme concentration.
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Competitive Inhibition
Competitive inhibition: same active site, Km increases, Vmax unchanged — overcome with substrate
Competitive Inhibition
Inhibitor competes with substrate for the active site
Add more substrate → outcompete inhibitor → Vmax restored. Km appears to increase. Example: methotrexate competes with folate at DHFR (dihydrofolate reductase).
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🃏 Competitive Inhibition
Competitive inhibition — effect on Km and Vmax?
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🃏 Answer
Competitive inhibition: same active site, Km increases, Vmax unchanged — overcome with substrate
Competitive Inhibition — Add more substrate → outcompete inhibitor → Vmax restored. Km appears to increase. Example: methotrexate competes with folate at DHFR (dihydrofolate reductase).
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Non-Competitive Inhibition
Non-competitive: binds elsewhere, Vmax decreases, Km unchanged — can't overcome
Non-Competitive Inhibition
Inhibitor binds allosteric site — more substrate won't help
Inhibitor binds separate (allosteric) site, changes enzyme shape. Vmax decreases, Km unchanged. Adding more substrate doesn't help. Example: heavy metal ions (lead, mercury) inhibit enzymes non-competitively by binding to sulfhydryl groups away from the active site.
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🃏 Non-Competitive Inhibition
Non-competitive inhibition — effect on Vmax and Km?
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🃏 Answer
Non-competitive: binds elsewhere, Vmax decreases, Km unchanged — can't overcome
Non-Competitive Inhibition — Inhibitor binds separate (allosteric) site, changes enzyme shape. Vmax decreases, Km unchanged. Adding more substrate doesn't help. Example: heavy metal ions (lead, mercury) inhibit enzymes non-competitively by binding to sulfhydryl groups away from the active site.
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Cofactors and Coenzymes
Cofactors = metal ions. Coenzymes = organic (often from vitamins).
Cofactors and Coenzymes
Non-protein helpers that many enzymes require to function
Metal cofactors: Zn²⁺ (carbonic anhydrase), Fe²⁺ (cytochrome), Mg²⁺ (kinases). Coenzymes: NAD⁺, FAD, CoA — many derived from B vitamins. Deficiency → enzyme dysfunction.
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🃏 Cofactors and Coenzymes
Cofactors vs coenzymes?
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🃏 Answer
Cofactors = metal ions. Coenzymes = organic (often from vitamins).
Cofactors and Coenzymes — Metal cofactors: Zn²⁺ (carbonic anhydrase), Fe²⁺ (cytochrome), Mg²⁺ (kinases). Coenzymes: NAD⁺, FAD, CoA — many derived from B vitamins. Deficiency → enzyme dysfunction.
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Allosteric Regulation
Allosteric regulation: effector binds non-active site → changes enzyme shape → activates or inhibits
Allosteric Regulation
Enzymes can be turned on or off by molecules binding away from the active site
Positive allosteric effectors: bind and increase activity. Negative effectors: decrease activity. Feedback inhibition: product of a pathway inhibits an early enzyme — classic regulation strategy.
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🃏 Allosteric Regulation
Allosteric regulation?
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🃏 Answer
Allosteric regulation: effector binds non-active site → changes enzyme shape → activates or inhibits
Allosteric Regulation — Positive allosteric effectors: bind and increase activity. Negative effectors: decrease activity. Feedback inhibition: product of a pathway inhibits an early enzyme — classic regulation strategy.
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Six Enzyme Classes
Enzyme classification: Oxidoreductases, Transferases, Hydrolases, Lyases, Isomerases, Ligases — OT HaLIL (O=Oxidoreductases, T=Transferases, H=Hydrolases, L=Lyases, I=Isomerases, L=Ligases)
Six Enzyme Classes
The six classes of enzymes classified by the reaction they catalyze
Oxidoreductases: catalyze oxidation-reduction. Transferases: transfer functional groups. Hydrolases: cleave bonds with water (proteases, lipases). Lyases: cleave bonds without water (non-hydrolytic). Isomerases: convert isomers. Ligases: join two molecules using ATP. Most drugs target enzymes in these classes.
Oxidoreductases
Oxidation-reduction reactions
Transferases
Transfer functional groups
Hydrolases
Cleave with water
Lyases
Cleave without water
Isomerases
Convert between isomers
Ligases
Join molecules using ATP
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🃏 Six Enzyme Classes
The six enzyme classes — OT HaLIL
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🃏 Answer
Enzyme classification: Oxidoreductases, Transferases, Hydrolases, Lyases, Isomerases, Ligases — OT HaLIL (O=Oxidoreductases, T=Transferases, H=Hydrolases, L=Lyases, I=Isomerases, L=Ligases)
OxidoreductasesOxidation-reduction reactions
TransferasesTransfer functional groups
HydrolasesCleave with water
LyasesCleave without water
IsomerasesConvert between isomers
LigasesJoin molecules using ATP
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Activation Energy
Activation energy: energy barrier a reaction must overcome. Enzymes lower it — don't change ΔG.
Activation Energy
What enzymes actually do — and what they don't change
Activation energy (Ea): energy needed to start a reaction. High Ea → slow reaction. Enzymes provide an alternative pathway with lower Ea → faster reaction. Crucially: enzymes do NOT change the equilibrium constant (K_eq) or the overall free energy change (ΔG). They speed up reactions that would happen anyway.
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🃏 Activation Energy
Activation energy — what do enzymes change, and not change?
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🃏 Answer
Activation energy: energy barrier a reaction must overcome. Enzymes lower it — don't change ΔG.
Activation Energy — Activation energy (Ea): energy needed to start a reaction. High Ea → slow reaction. Enzymes provide an alternative pathway with lower Ea → faster reaction. Crucially: enzymes do NOT change the equilibrium constant (K_eq) or the overall free energy change (ΔG). They speed up reactions that would happen anyway.
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Feedback Inhibition
Feedback inhibition: the END product of a pathway inhibits an EARLY enzyme — classic metabolic control
Feedback Inhibition
How cells regulate metabolic pathways through end-product inhibition
Isoleucine synthesis: threonine → (5 steps) → isoleucine. When isoleucine accumulates, it inhibits the first enzyme in the pathway (allosterically). Efficient: stops the whole pathway when product is abundant. Avoids wasteful overproduction. Classic example of negative feedback in biochemistry.
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🃏 Feedback Inhibition
Feedback inhibition?
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🃏 Answer
Feedback inhibition: the END product of a pathway inhibits an EARLY enzyme — classic metabolic control
Feedback Inhibition — Isoleucine synthesis: threonine → (5 steps) → isoleucine. When isoleucine accumulates, it inhibits the first enzyme in the pathway (allosterically). Efficient: stops the whole pathway when product is abundant. Avoids wasteful overproduction. Classic example of negative feedback in biochemistry.
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Irreversible Inhibitors
Irreversible inhibitors: permanently inactivate enzyme by covalent bond. Aspirin, nerve agents, penicillin.
Irreversible Inhibitors
Inhibitors that permanently disable enzymes
Irreversible inhibitors form covalent bonds with the enzyme — permanent inactivation. Aspirin: acetylates COX enzyme → blocks prostaglandin synthesis → anti-inflammatory, anti-platelet. Nerve agents (sarin): covalently inhibit acetylcholinesterase → nerve signals can't stop. Penicillin: covalently inhibits transpeptidase → bacterial cell wall synthesis stops.
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🃏 Irreversible Inhibitors
Irreversible inhibitors — how do they work, examples?
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🃏 Answer
Irreversible inhibitors: permanently inactivate enzyme by covalent bond. Aspirin, nerve agents, penicillin.
Irreversible Inhibitors — Irreversible inhibitors form covalent bonds with the enzyme — permanent inactivation. Aspirin: acetylates COX enzyme → blocks prostaglandin synthesis → anti-inflammatory, anti-platelet. Nerve agents (sarin): covalently inhibit acetylcholinesterase → nerve signals can't stop. Penicillin: covalently inhibits transpeptidase → bacterial cell wall synthesis stops.
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Lineweaver-Burk Plot
Lineweaver-Burk plot: double reciprocal plot (1/V vs 1/[S]). Intercepts give Vmax and Km.
Lineweaver-Burk Plot
Graphical method to determine Km and Vmax from kinetic data
Plot 1/V (y-axis) vs 1/[S] (x-axis) → straight line. Y-intercept = 1/Vmax. X-intercept = -1/Km. Slope = Km/Vmax. Competitive inhibitor: increases slope (higher Km), same y-intercept (same Vmax). Non-competitive: same x-intercept (same Km), increases y-intercept (lower Vmax).
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🃏 Lineweaver-Burk Plot
Lineweaver-Burk plot — what is plotted, and what do the intercepts give?
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🃏 Answer
Lineweaver-Burk plot: double reciprocal plot (1/V vs 1/[S]). Intercepts give Vmax and Km.
Lineweaver-Burk Plot — Plot 1/V (y-axis) vs 1/[S] (x-axis) → straight line. Y-intercept = 1/Vmax. X-intercept = -1/Km. Slope = Km/Vmax. Competitive inhibitor: increases slope (higher Km), same y-intercept (same Vmax). Non-competitive: same x-intercept (same Km), increases y-intercept (lower Vmax).
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Prosthetic Groups
Prosthetic groups: cofactors permanently attached to enzyme. Heme in hemoglobin and cytochrome c.
Prosthetic Groups
Permanently bound cofactors essential for enzyme function
Prosthetic group: non-protein component permanently and tightly bound to the protein. Unlike coenzymes (loosely bound, can leave). Heme group: iron-containing porphyrin ring — in hemoglobin (O₂ transport), myoglobin, cytochromes (ETC). FAD: covalently bound in some enzymes. Biotin: covalently bound in carboxylases.
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🃏 Prosthetic Groups
Prosthetic groups?
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🃏 Answer
Prosthetic groups: cofactors permanently attached to enzyme. Heme in hemoglobin and cytochrome c.
Prosthetic Groups — Prosthetic group: non-protein component permanently and tightly bound to the protein. Unlike coenzymes (loosely bound, can leave). Heme group: iron-containing porphyrin ring — in hemoglobin (O₂ transport), myoglobin, cytochromes (ETC). FAD: covalently bound in some enzymes. Biotin: covalently bound in carboxylases.
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Zymogens
Zymogen (proenzyme): inactive enzyme precursor activated by cleavage. Pepsinogen → pepsin, trypsinogen → trypsin.
Zymogens
Inactive enzyme precursors — a safety mechanism
Zymogens protect cells from premature enzymatic activity. Digestive enzymes stored as zymogens in pancreas — activated only in the intestine. Pepsinogen (stomach) → pepsin (activated by stomach acid). Trypsinogen → trypsin (activated by enteropeptidase in small intestine). Blood clotting cascade: sequential zymogen activation.
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🃏 Zymogens
Zymogens?
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🃏 Answer
Zymogen (proenzyme): inactive enzyme precursor activated by cleavage. Pepsinogen → pepsin, trypsinogen → trypsin.
Zymogens — Zymogens protect cells from premature enzymatic activity. Digestive enzymes stored as zymogens in pancreas — activated only in the intestine. Pepsinogen (stomach) → pepsin (activated by stomach acid). Trypsinogen → trypsin (activated by enteropeptidase in small intestine). Blood clotting cascade: sequential zymogen activation.
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