The Eadie-Hofstee equation is derived by multiplying both sides of Eqn [2.1] by (Km + [A]0), dividing by [A]0, and then rearranging the terms to give:

LA]o

Hence, a plot of the data pairs consisting of (v0ji/[A]0ji, v0i) gives a straight line with a slope that has the value -Kmand an ordinate intercept that is the value of Vmax.

Q: Generate an Eadie-Hofstee plot for the enzyme described in the worked example in Section 2.1.2.

A: First we define the Eadie-Hofstee equation vo [vC>nA0_] : = -Km vOOnAO + V^ ;

and then we can generate the appropriate Table of ordered pairs and graph as follows:

ehData =

Table[{vOOnAO, v0 [vOOnAO]}, {vOOnAO, 0, 0.001, 0.0001}];

gphl = ListPlot[ehData, PlotStyle -> {PointSize[0.025]},

DisplayFunction ^Identity]; gph2 = Plot[v0 [vOOnAO] , {vOOnAO, 0, 0.001} , DisplayFunction ^Identity];

Show[gphl, gph2, DisplayFunction^ \$DisplayFunction, AxesLabel-> {"v0/[A]", "v0"}];

1x10

8x10

6x10

4x10

2x10

1x10

8x10

6x10

4x10

2x10

0.0002 0.0004 0.0006 0.0008 0.001

Figure 2.3. Eadie-Hofstee plot for a simple Michaelis-Menten enzyme reaction. Note that the slope gives the value of -Km and the ordinate intercept gives the value of Vmax.

0.0002 0.0004 0.0006 0.0008 0.001

Figure 2.3. Eadie-Hofstee plot for a simple Michaelis-Menten enzyme reaction. Note that the slope gives the value of -Km and the ordinate intercept gives the value of Vmax.