Articles | Volume 8, issue 12
https://doi.org/10.5194/gmd-8-3823-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-8-3823-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Development and technical paper
| 
01 Dec 2015
Development and technical paper |
| 01 Dec 2015
On the relationships between the Michaelis–Menten kinetics, reverse Michaelis–Menten kinetics, equilibrium chemistry approximation kinetics, and quadratic kinetics
Department of Climate Sciences, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
Viewed
Total article views: 5,013 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 03 Sep 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 3,225 | 1,610 | 178 | 5,013 | 181 | 197 |
- HTML: 3,225
- PDF: 1,610
- XML: 178
- Total: 5,013
- BibTeX: 181
- EndNote: 197
Total article views: 4,358 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 01 Dec 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 2,901 | 1,295 | 162 | 4,358 | 172 | 189 |
- HTML: 2,901
- PDF: 1,295
- XML: 162
- Total: 4,358
- BibTeX: 172
- EndNote: 189
Total article views: 655 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 03 Sep 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 324 | 315 | 16 | 655 | 9 | 8 |
- HTML: 324
- PDF: 315
- XML: 16
- Total: 655
- BibTeX: 9
- EndNote: 8
Cited
31 citations as recorded by crossref.
- ORCHIMIC (v1.0), a microbe-mediated model for soil organic matter decomposition Y. Huang et al. 10.5194/gmd-11-2111-2018
- An Introduction to the E3SM Special Collection: Goals, Science Drivers, Development, and Analysis L. Leung et al. 10.1029/2019MS001821
- Improved global-scale predictions of soil carbon stocks with Millennial Version 2 R. Abramoff et al. 10.1016/j.soilbio.2021.108466
- Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell M. Sandoval-Hernandez et al. 10.1155/2018/9142124
- Soil Organic Matter Temperature Sensitivity Cannot be Directly Inferred From Spatial Gradients R. Abramoff et al. 10.1029/2018GB006001
- Subsurface hydrological controls on the short-term effects of hurricanes on nitrate–nitrogen runoff loading: a case study of Hurricane Ida using the Energy Exascale Earth System Model (E3SM) Land Model (v2.1) Y. Fang et al. 10.5194/gmd-18-19-2025
- SUPECA kinetics for scaling redox reactions in networks of mixed substrates and consumers and an example application to aerobic soil respiration J. Tang & W. Riley 10.5194/gmd-10-3277-2017
- Relationship between enzyme concentration and Michaelis constant in enzyme assays K. Yun & T. Han 10.1016/j.biochi.2020.06.002
- Michaelis–Menten equation for degradation of insoluble substrate M. Andersen et al. 10.1016/j.mbs.2017.11.011
- Microbial Controls on the Biogeochemical Dynamics in the Subsurface M. Thullner & P. Regnier 10.2138/rmg.2019.85.9
- Competitor and substrate sizes and diffusion together define enzymatic depolymerization and microbial substrate uptake rates J. Tang & W. Riley 10.1016/j.soilbio.2019.107624
- Estimating relative cellulolytic and ligninolytic enzyme activities as functions of lignin and cellulose content in decomposing plant litter M. Margida et al. 10.1016/j.soilbio.2019.107689
- Emergent properties of organic matter decomposition by soil enzymes B. Wang & S. Allison 10.1016/j.soilbio.2019.107522
- Responses of two nonlinear microbial models to warming and increased carbon input Y. Wang et al. 10.5194/bg-13-887-2016
- Identifying Data Needed to Reduce Parameter Uncertainty in a Coupled Microbial Soil C and N Decomposition Model M. Saifuddin et al. 10.1029/2021JG006593
- Modeling ecosystem-scale carbon dynamics in soil: The microbial dimension J. Schimel 10.1016/j.soilbio.2023.108948
- A Theory of Effective Microbial Substrate Affinity Parameters in Variably Saturated Soils and an Example Application to Aerobic Soil Heterotrophic Respiration J. Tang & W. Riley 10.1029/2018JG004779
- Conceptualizing Biogeochemical Reactions With an Ohm's Law Analogy J. Tang et al. 10.1029/2021MS002469
- Abiotic and Biotic Controls on Soil Organo–Mineral Interactions: Developing Model Structures to Analyze Why Soil Organic Matter Persists D. Dwivedi et al. 10.2138/rmg.2019.85.11
- Microbial community-level regulation explains soil carbon responses to long-term litter manipulations K. Georgiou et al. 10.1038/s41467-017-01116-z
- Plant roots stimulate the decomposition of complex, but not simple, soil carbon J. Moore et al. 10.1111/1365-2435.13510
- Extensions to Michaelis-Menten Kinetics for Single Parameters R. Ariyawansha et al. 10.1038/s41598-018-34675-2
- Comparing models of microbial–substrate interactions and their response to warming D. Sihi et al. 10.5194/bg-13-1733-2016
- The evolution and application of the reverse Michaelis-Menten equation D. Moorhead & M. Weintraub 10.1016/j.soilbio.2018.07.021
- A Bayesian approach to evaluation of soil biogeochemical models H. Xie et al. 10.5194/bg-17-4043-2020
- Reactive Transport: A Review of Basic Concepts with Emphasis on Biochemical Processes J. Carrera et al. 10.3390/en15030925
- Applying population and community ecology theory to advance understanding of belowground biogeochemistry R. Buchkowski et al. 10.1111/ele.12712
- Merging a mechanistic enzymatic model of soil heterotrophic respiration into an ecosystem model in two AmeriFlux sites of northeastern USA D. Sihi et al. 10.1016/j.agrformet.2018.01.026
- The Millennial model: in search of measurable pools and transformations for modeling soil carbon in the new century R. Abramoff et al. 10.1007/s10533-017-0409-7
- A new theory of plant–microbe nutrient competition resolves inconsistencies between observations and model predictions Q. Zhu et al. 10.1002/eap.1490
- Equifinality, sloppiness, and emergent structures of mechanistic soil biogeochemical models G. Marschmann et al. 10.1016/j.envsoft.2019.104518
28 citations as recorded by crossref.
- ORCHIMIC (v1.0), a microbe-mediated model for soil organic matter decomposition Y. Huang et al. 10.5194/gmd-11-2111-2018
- An Introduction to the E3SM Special Collection: Goals, Science Drivers, Development, and Analysis L. Leung et al. 10.1029/2019MS001821
- Improved global-scale predictions of soil carbon stocks with Millennial Version 2 R. Abramoff et al. 10.1016/j.soilbio.2021.108466
- Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell M. Sandoval-Hernandez et al. 10.1155/2018/9142124
- Soil Organic Matter Temperature Sensitivity Cannot be Directly Inferred From Spatial Gradients R. Abramoff et al. 10.1029/2018GB006001
- Subsurface hydrological controls on the short-term effects of hurricanes on nitrate–nitrogen runoff loading: a case study of Hurricane Ida using the Energy Exascale Earth System Model (E3SM) Land Model (v2.1) Y. Fang et al. 10.5194/gmd-18-19-2025
- SUPECA kinetics for scaling redox reactions in networks of mixed substrates and consumers and an example application to aerobic soil respiration J. Tang & W. Riley 10.5194/gmd-10-3277-2017
- Relationship between enzyme concentration and Michaelis constant in enzyme assays K. Yun & T. Han 10.1016/j.biochi.2020.06.002
- Michaelis–Menten equation for degradation of insoluble substrate M. Andersen et al. 10.1016/j.mbs.2017.11.011
- Microbial Controls on the Biogeochemical Dynamics in the Subsurface M. Thullner & P. Regnier 10.2138/rmg.2019.85.9
- Competitor and substrate sizes and diffusion together define enzymatic depolymerization and microbial substrate uptake rates J. Tang & W. Riley 10.1016/j.soilbio.2019.107624
- Estimating relative cellulolytic and ligninolytic enzyme activities as functions of lignin and cellulose content in decomposing plant litter M. Margida et al. 10.1016/j.soilbio.2019.107689
- Emergent properties of organic matter decomposition by soil enzymes B. Wang & S. Allison 10.1016/j.soilbio.2019.107522
- Responses of two nonlinear microbial models to warming and increased carbon input Y. Wang et al. 10.5194/bg-13-887-2016
- Identifying Data Needed to Reduce Parameter Uncertainty in a Coupled Microbial Soil C and N Decomposition Model M. Saifuddin et al. 10.1029/2021JG006593
- Modeling ecosystem-scale carbon dynamics in soil: The microbial dimension J. Schimel 10.1016/j.soilbio.2023.108948
- A Theory of Effective Microbial Substrate Affinity Parameters in Variably Saturated Soils and an Example Application to Aerobic Soil Heterotrophic Respiration J. Tang & W. Riley 10.1029/2018JG004779
- Conceptualizing Biogeochemical Reactions With an Ohm's Law Analogy J. Tang et al. 10.1029/2021MS002469
- Abiotic and Biotic Controls on Soil Organo–Mineral Interactions: Developing Model Structures to Analyze Why Soil Organic Matter Persists D. Dwivedi et al. 10.2138/rmg.2019.85.11
- Microbial community-level regulation explains soil carbon responses to long-term litter manipulations K. Georgiou et al. 10.1038/s41467-017-01116-z
- Plant roots stimulate the decomposition of complex, but not simple, soil carbon J. Moore et al. 10.1111/1365-2435.13510
- Extensions to Michaelis-Menten Kinetics for Single Parameters R. Ariyawansha et al. 10.1038/s41598-018-34675-2
- Comparing models of microbial–substrate interactions and their response to warming D. Sihi et al. 10.5194/bg-13-1733-2016
- The evolution and application of the reverse Michaelis-Menten equation D. Moorhead & M. Weintraub 10.1016/j.soilbio.2018.07.021
- A Bayesian approach to evaluation of soil biogeochemical models H. Xie et al. 10.5194/bg-17-4043-2020
- Reactive Transport: A Review of Basic Concepts with Emphasis on Biochemical Processes J. Carrera et al. 10.3390/en15030925
- Applying population and community ecology theory to advance understanding of belowground biogeochemistry R. Buchkowski et al. 10.1111/ele.12712
- Merging a mechanistic enzymatic model of soil heterotrophic respiration into an ecosystem model in two AmeriFlux sites of northeastern USA D. Sihi et al. 10.1016/j.agrformet.2018.01.026
3 citations as recorded by crossref.
- The Millennial model: in search of measurable pools and transformations for modeling soil carbon in the new century R. Abramoff et al. 10.1007/s10533-017-0409-7
- A new theory of plant–microbe nutrient competition resolves inconsistencies between observations and model predictions Q. Zhu et al. 10.1002/eap.1490
- Equifinality, sloppiness, and emergent structures of mechanistic soil biogeochemical models G. Marschmann et al. 10.1016/j.envsoft.2019.104518
Saved (final revised paper)
Latest update: 22 Feb 2025
Short summary
Neither the Michaelis-Menten kinetics nor the reverse Michaelis-Menten kinetics is a consistent approximation to the formulation of law of mass action. The ECA kinetics better approximates the exact solution obtained from the law of mass action and the total quasi-steady-state approximation. The ECA kinetics outperformed the MM kinetics and RMM kinetics in predicting the kinetic parametric sensitivity. The ECA kinetics is therefore expected to improve all soil biogeochemical models.
Neither the Michaelis-Menten kinetics nor the reverse Michaelis-Menten kinetics is a consistent...
