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The Michaelis-Menten equation describes the rate of enzymatic reactions by relating the reaction velocity to substrate concentration. For a non-competitive inhibitor, the inhibitor binds to an allosteric site on the enzyme, not the active site, which means it can bind both to the free enzyme (E) and the enzyme-substrate complex (ES) without affecting substrate binding, but it decreases the overall catalytic activity. The basic reaction scheme in the presence of a non-competitive inhibitor (I) can be represented as: E + S ⇌ ES → E + P E + I ⇌ EI ES + I ⇌ ESI Here, E is the free enzyme, S is the substrate, ES is the enzyme-substrate complex, P is the product, I is the inhibitor, EI _____ ______ ____ _________ ____.
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