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Biology · University

Michaelis-Menten model rate

Assume the stated steady-state model applies; Vmax and v share units, and Km and substrate concentration share units.

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Method and conditions

Assume the stated steady-state model applies; Vmax and v share units, and Km and substrate concentration share units.

v = Vmax[S]/(Km+[S])

Worked examples

Under a Michaelis-Menten model, Vmax=149 μmol/min, Km=1 mM, and [S]=18 mM. Calculate v. Round the final result to 4 decimal places if needed. Answer in μmol/min.

Substitute into v=Vmax[S]/(Km+[S]): 149(18)/(1+18).

141.1579 μmol/min

Under a Michaelis-Menten model, Vmax=149 μmol/min, Km=6 mM, and [S]=6 mM. Calculate v. Round the final result to 4 decimal places if needed. Answer in μmol/min.

Substitute into v=Vmax[S]/(Km+[S]): 149(6)/(6+6).

74.5 μmol/min

Try it

  1. Under a Michaelis-Menten model, Vmax=87 μmol/min, Km=36 mM, and [S]=46 mM. Calculate v. Round the final result to 4 decimal places if needed. Answer in μmol/min.

  2. Under a Michaelis-Menten model, Vmax=99 μmol/min, Km=34 mM, and [S]=71 mM. Calculate v. Round the final result to 4 decimal places if needed. Answer in μmol/min.

Check your work

Answers and marking notes
  1. 48.8049 μmol/min

    Substitute into v=Vmax[S]/(Km+[S]): 87(46)/(36+46).

  2. 66.9429 μmol/min

    Substitute into v=Vmax[S]/(Km+[S]): 99(71)/(34+71).

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