The parameters vmax and km are determined using known models in enzyme reactions. One linear model in enzyme reactions is the Lineweaver-Burke model. Its form is written as
1/v = (Km/vmax)(1/S) + 1/vmax,
where
Km/vmax is the slope
1/vmax is the y-intercept
In order to determine the parameters, plot (1/v) vs (1/S) data, where v is the rate of reaction and S is the substrate concentration. Then, find the y-intercept which is the point at which the line intersects the y-axis. The reciprocal of the y-intercept is equivalent to vmax. For Km, find the slope through linear regression. Then, multiple vmax to the slope to determine Km.