Skip to main content

Henri–Michaelis–Menten Equation

  • Chapter
  • First Online:
ENZYMES: Catalysis, Kinetics and Mechanisms

Abstract

A rate equation (or the rate law) gives the experimentally observed dependence of rate on the concentration of reactants. Rate equations are at the heart of any kinetic study as they help us describe the system in a mathematical formalism. This is true for enzyme catalysis as well. Besides its aesthetic beauty, the compact mathematical description of reaction kinetics serves the twin purposes of qualitative description of the system and quantitative evaluation of rate constants. An early attempt to capture the kinetics of enzyme catalysis was made by Victor Henri (in 1903, Chap. 2), and this was subsequently developed by Leonor Michaelis and Maud Menten (in 1913). The rate equation so described is a fundamental equation of enzyme kinetics and goes by the name Henri–Michaelis–Menten equation. It is more commonly referred to as Michaelis–Menten equation. The derivation of the rate equation for a simple, single-substrate enzymatic reaction is especially instructive. In the process, it describes the general logic used to derive such rate equations – an exercise central to any enzyme kinetic study. This chapter will describe the development, significance, and salient features of the Michaelis–Menten equation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Albery WJ, Knowles JR (1976) Evolution of enzyme function and the development of catalytic efficiency. Biochemistry 15:5631–5640

    Article  CAS  Google Scholar 

  • Briggs GE, Haldane JBS (1925) A note on the kinetics of enzyme action. Biochem J 19:338–339

    Article  CAS  Google Scholar 

  • Choudhury R, Punekar NS (2009) Aspergillus terreus NADP-glutamate dehydrogenase is kinetically distinct from the allosteric enzyme of other Aspergilli. Mycol Res 113:1121–1126

    Article  CAS  Google Scholar 

  • Eisenthal R, Danson MJ, Hough DW (2007) Catalytic efficiency and kcat/KM: a useful comparator? Trends Biotechnol 25:247–249

    Article  CAS  Google Scholar 

  • Futcher B, Latter GI, Monardo P, McLaughlin CS, Garrels JI (1999) A sampling of the yeast proteome. Mol Cell Biol 19:7357–7368

    Article  CAS  Google Scholar 

  • Hasinoff BB (1984) Kinetics of carbonic anhydrase catalysis in solvents of increased viscosity: a partially diffusion-controlled reaction. Arch Biochem Biophys 233:676–681

    Article  CAS  Google Scholar 

  • Hill AV (1910) The possible effects of the aggregation of the molecules of haemoglobin on its dissocistion curves. J Physiol 40:iv–vii

    Google Scholar 

  • Koshland DE Jr (2002) The application and usefulness of the ratio kcat/KM. Bioorg Chem 30:211–213

    Article  CAS  Google Scholar 

  • Michaelis L, Menten ML (1913) Die kinetic der invertinwirkung. Biochem Z 49:333–369

    CAS  Google Scholar 

  • Northrop DB (1998) On the meaning of Km and V/K in enzyme kinetics. J Chem Educ 75:1153–1157

    Article  Google Scholar 

  • Radika K, Northrop DB (1984) Correlation of antibiotic resistance with Vmax/Km ratio of enzymatic modification of aminoglycosides by kanamycin acetyltransferase. Antimicrob Agents Chemother 25:479–482

    Article  CAS  Google Scholar 

  • Radzicka A, Wolfenden R(1995) A proficient enzyme. Science 267:90–93

    Article  CAS  Google Scholar 

  • Teipel JW, Hass GM, Hill RL (1968) The substrate specificity of fumarase. J Biol Chem 243:5684–5694

    PubMed  CAS  Google Scholar 

Suggested Reading

  • Johnson KA (2013) A century of enzyme kinetic analysis, 1913 to 2013. FEBS Lett 587:2753–2766 part of Historical perspectives: special issue on the occasion of the centenary of the Michaelis-Menten paper

    Article  CAS  Google Scholar 

  • Johnson KA, Goody RS (2011) The original Michaelis constant: translation of the 1913 Michaelis-Menten paper. Biochemistry 50:8264–8269

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Punekar, N.S. (2018). Henri–Michaelis–Menten Equation. In: ENZYMES: Catalysis, Kinetics and Mechanisms. Springer, Singapore. https://doi.org/10.1007/978-981-13-0785-0_15

Download citation

Publish with us

Policies and ethics