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Curve of the Michaelis–Menten equation labelled in accordance with IUBMB recommendations. In biochemistry, Michaelis–Menten kinetics, named after Leonor Michaelis and Maud Menten, is the simplest case of enzyme kinetics, applied to enzyme-catalysed reactions of one substrate and one product.
When used to model enzyme rates in vivo , for example, to model a metabolic pathway, this representation is inadequate because under these conditions product is present. As a result, when building computer models of metabolism [1] or other enzymatic processes, it is better to use the reversible form of the Michaelis–Menten equation.
Eadie–Hofstee plot of v against v/a for Michaelis–Menten kinetics. In biochemistry, an Eadie–Hofstee plot (or Eadie–Hofstee diagram) is a graphical representation of the Michaelis–Menten equation in enzyme kinetics. It has been known by various different names, including Eadie plot, Hofstee plot and Augustinsson plot.
The enzyme involved in this reaction is called invertase, and it is the enzyme the kinetics of which have been supported by Michaelis and Menten to be revolutionary for the kinetics of other enzymes. While expressing the rate of the reaction studied, they derived an equation that described the rate in a way which suggested that it is mostly ...
This is produced by taking the reciprocal of both sides of the Michaelis–Menten equation. As shown on the right, this is a linear form of the Michaelis–Menten equation and produces a straight line with the equation y = mx + c with a y-intercept equivalent to 1/V max and an x-intercept of the graph representing −1/K M.
The Michaelis–Menten Model can be an invaluable tool to understanding enzyme kinetics. According to this model, a plot of the reaction velocity (V 0 ) associated with the concentration [S] of the substrate can then be used to determine values such as V max , initial velocity, and K m (V max /2 or affinity of enzyme to substrate complex).
The Michaelis constant in turn is defined as follows: K M = k r + k c a t k f {\displaystyle K_{M}={\frac {k_{r}+k_{cat}}{k_{f}}}} The Michaelis constant is equal to the substrate concentration at which the enzyme converts substrates into products at half its maximal rate and hence is related to the affinity of the substrate for the enzyme.
The Michaelis-Menten constant is denoted by K m and is represented by the equation K m = (K off + K cat)/ K on [definition needed]. The rates that the enzyme binds and dissociates from the substrate are represented by K on and K off respectively. K m is also defined as the substrate concentration at which enzymatic velocity reaches half of its ...