## Lineweaver-Burk Plot Analysis **Key Point:** The Lineweaver-Burk double reciprocal plot (1/V vs 1/[S]) is the gold standard for distinguishing enzyme inhibition types based on their graphical signatures. ### Competitive Inhibition Characteristics **High-Yield:** In competitive inhibition: - The inhibitor competes with substrate for the **active site** - V~max~ remains **unchanged** (same y-intercept at 1/V~max~) - K~m~ **increases** (inhibitor raises apparent K~m~) - On Lineweaver-Burk: lines intersect on the y-axis (same y-intercept, different x-intercepts) ### Comparison of Inhibition Types | Feature | Competitive | Non-competitive | Uncompetitive | |---------|-------------|-----------------|---------------| | **Active Site Binding** | Yes (competes with S) | No (binds elsewhere) | No (binds ES complex) | | **V~max~** | Unchanged | Decreased | Decreased | | **K~m~** | Increased | Unchanged | Decreased | | **Lineweaver-Burk Intersection** | y-axis | Left of y-axis | Parallel lines | | **Reversibility** | Reversible (usually) | Reversible or irreversible | Reversible | **Clinical Pearl:** Competitive inhibitors can often be overcome by increasing substrate concentration—this principle is exploited therapeutically (e.g., folic acid antagonists like methotrexate can be partially reversed by high-dose leucovorin). ### Mechanism In competitive inhibition: $$V = \frac{V_{max} \cdot [S]}{K_m(1 + \frac{[I]}{K_i}) + [S]}$$ The term $(1 + \frac{[I]}{K_i})$ multiplies K~m~ but does not affect V~max~. On the reciprocal plot, this produces lines that converge at the y-axis.
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