How does the reaction rate depend on the concentration of the enzyme and substrate?

How does the reaction rate depend on the concentration of the enzyme and substrate? Why, with an increase in substrate concentration, does the reaction rate increase to a certain value, and then remain unchanged?

The reaction rate depends not so much on the concentration of the substrate as on the concentration of the enzyme. Thus, the reaction rate is directly proportional to the concentration of the enzyme. However, with an increase in substrate concentration, it increases only at the beginning. This is due to the fact that the number of enzyme molecules determines how quickly a chemical reaction will occur.

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