Line Weaver burk equation of enzyme kinetics

Chemistry

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Answer

The Lineweaver-Burk equation is a rearrangement of the Michaelis-Menten equation, which linearizes the relationship between reaction velocity and substrate concentration. This linear form makes it easier to determine Vmax and Km graphically.

The equation is:

1v0=KmVmax⋅1[S]+1Vmax\frac{1}{v_0} = \frac{K_m}{V_{max}} \cdot \frac{1}{[S]} + \frac{1}{V_{max}}

Where:

  • v0v_0 is the initial reaction velocity.
  • KmK_m is the Michaelis constant.
  • VmaxV_{max} is the maximum reaction velocity.
  • [S][S] is the substrate concentration.

When 1/v01/v_0 is plotted against 1/[S]1/[S] (a Lineweaver-Burk plot or double reciprocal plot), it yields a straight line.

  • The y-intercept is 1/Vmax1/V_{max}.
  • The x-intercept is −1/Km-1/K_m.
  • The slope of the line is Km/VmaxK_m/V_{max}.
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