How do enzyme reaction rates change when substrate concentration is low?

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According to Michaelis-Menten kinetics, the rate of an enzyme-catalyzed reaction is directly influenced by the concentration of the substrate.

When substrate concentration is low, the reaction rate is proportional to the substrate concentration. Mathematically, this relationship is expressed as:

Rate≈V[S]K

In this equation, V and K (the Michaelis constant) are constants specific to the enzymatic process, and [S] represents the substrate concentration. Because the rate is proportional to [S] at these low levels, any increase in the amount of substrate available will result in a corresponding increase in the velocity of the reaction. This contrasts with high substrate concentrations, where the enzyme's active sites become saturated, causing the reaction rate to become essentially independent of further increases in substrate concentration.1