## Wikipedia - Cinetica di Michaelis-Menten (it) Wikipedia - Michaelis-Menten-Theorie (de) Wikipedia - حركية ميكايليس و مينتين (ar) Michaelis–Menten kinetics

https://doi.org/10.1351/goldbook.M03892
The dependence of an initial @R05156@ upon the concentration of a @S06082@ S that is present in large excess over the concentration of an enzyme or other @C00876@ (or @R05190@) E with the appearance of @S05472@ behaviour following the Michaelis-Menten equation: $\nu=\frac{V\ \left[\text{S}\right]}{K_{\text{m}}+\left[\text{S}\right]}$ where $$\nu$$ is the observed initial rate, $$V$$ is its limiting value at substrate @S05472@ (i.e. $$\left[\text{S}\right]\gg K_{\text{m}}$$), and $$K_{\text{m}}$$ the substrate concentration when $$\nu = \frac{V}{2}$$. The definition is experimental, i.e. it applies to any reaction that follows an equation of this general form. The symbols $$V_{\max }$$ or $$\nu_{\max }$$ are sometimes used for $$V$$. The parameters $$V$$ and $$K_{\text{m}}$$ (the '@M03891@') of the equation can be evaluated from the slope and intercept of a linear plot of $$\nu^{-1}$$vs. $$\left[\text{S}\right]^{-1}$$ (a '@L03566@') or from slope and intercept of a linear plot of $$\nu$$ vs. $$\frac{\nu}{\left[\text{S}\right]}$$ ('Eadie–Hofstee plot'). A Michaelis–Menten equation is also applicable to the condition where E is present in large excess, in which case the concentration $$\left[\text{E}\right]$$ appears in the equation instead of $$\left[\text{S}\right]$$. The term has sometimes been used to describe reactions that proceed according to the scheme: $\text{E}+\text{S}\overset{k_{1}}{\underset{k_{-1}}\rightleftarrows }\text{ES}\overset{k_{\text{cat}}}{\rightarrow }\text{Products}$ in which case $$K_{\text{m}} = \frac{k_{-1}+k_{\text{cat}}}{k_{1}}$$ (Briggs–Haldane conditions). It has more usually been applied only to the special case in which $$k_{-1}\gg k_{\text{cat}}$$ and $$K_{\text{m}} = \frac{k_{-1}}{k_{1}}=K_{s}$$; in this case $$K_{\text{m}}$$ is a true @D01801@ constant (Michaelis–Menten conditions).
rate-determining step
Sources:
PAC, 1994, 66, 1077. (Glossary of terms used in physical organic chemistry (IUPAC Recommendations 1994)) on page 1140 [Terms] [Paper]
PAC, 1996, 68, 149. (A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)) on page 172 [Terms] [Paper]