Eficiência catalítica

k_cat/K_m.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

k_cat/K_m (M⁻¹s⁻¹)
1.00e+7

Formula

k_cat/K_m

About this calculator

This calculator determines the catalytic efficiency of an enzyme, expressed as the ratio between the turnover number (k_cat) and the Michaelis constant (K_m). The result, k_cat/K_m, indicates how many substrate molecules are converted to product per second per enzyme molecule under saturating substrate conditions. This value serves as an index of how well the enzyme recognizes and transforms its substrate.

To compute catalytic efficiency, simply enter the k_cat value, usually given in s⁻¹, and the K_m value, typically in mM. The calculator automatically converts units and returns the ratio in s⁻¹·mM⁻¹. If either parameter is not in standard units, the tool will prompt for conversion to avoid errors.

This metric is essential in molecular biology, enzyme engineering, and pharmacology. It helps select the most efficient enzymes for industrial processes, assess mutations that alter substrate affinity, and design inhibitors that compete for active sites. Researchers working on metabolic pathway redesign also use this value to compare the performance of enzyme variants.

Use the tool with caution. Verify that k_cat and K_m were measured under comparable conditions and that temperature, pH, and cofactor presence are documented. Very high efficiency values may reflect data obtained under optimal laboratory conditions, not necessarily reflecting in‑vivo behavior. Moreover, the accuracy of results depends on the quality of k_cat and K_m measurements; errors in either parameter propagate into the final ratio.

Frequently asked questions

What does k_cat represent?

k_cat is the maximum reaction rate, indicating how many active sites of an enzyme convert substrate to product per second when substrate is saturated.

How is the Michaelis constant (K_m) calculated?

K_m is derived from velocity versus substrate concentration curves and represents the substrate concentration at which the reaction rate reaches half of k_cat.

Why is the k_cat/K_m ratio important?

It assesses catalytic efficiency at low substrate concentrations by combining affinity and turnover, useful for comparing enzymes and testing mutations.

Can efficiency values be applied directly to in vivo studies?

Not always; laboratory data may differ from physiological conditions. Factors such as temperature, pH, and in vivo inhibitors must be considered.

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