Analytic solution of the Michaelis-Menten kinetic equation

1 Analytic solution of the Michaelis-Menten kinetic equation The simplest mechanism of enzyme reactions is of the form 

The differential equation (2.48) is separable, and by integrating the rational function on its right-hand side the solution is given by 

We want to use (2.49) to calculate the concentration [P] at t = 180 s in the enzyme-catalysed hydrolysis of fumarate, with the initial enzyme concentration 

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