Discussion on Teaching Enzyme Kinetics: Plots of Michaelis-Menten Equation Derivatives and Their Figures
WANG Zhipeng1,2*, CHE Zi-Liang3,4, MA Xin-Yu1, ZHUANG Farica5, JIANG Zhen-Xiong6,7, YIN Sheng8, WANG Peng9
1. Department of Chemistry, Texas A&M University, College Station, Texas 77840, USA;
2. Division of Genetics, Department of Medicine, Brigham and Women's Hospital; Department of Biological Chemistry and Molecular Pharmacology, Harvard Medical School, Boston, MA 02115, USA;
3. Department of Mathematics, Harvard University, MA 02138, USA;
4. Citadel Securities, LLC; 131 South Dearborn St. Chicago Illinois 60603, USA;
5. Department of Computer Science, Duke University, Durham, NC 27708, USA;
6. Department of Biology, Texas A&M University, Texas 77840, USA;
7. Duke Center for Genomic and Computational Biology, Duke University, Durham, NC 27708, USA;
8. Nutrition/Metabolism Laboratory, Department of Surgery, Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, MA 02138, USA;
9. Department of Burn Surgery, First Affiliated Hospital of Sun Yat-Sen University, Guangzhou 510080, China
Abstract The derivation of the Michaelis-Menten equation is crucial in understanding enzyme kinetics and how the equation applies in scientific research. However, the college curriculums in many domestic and overseas institution lack the theoretical underpinnings on the derivation of the Michaelis-Menten equation. This manuscript presents a comprehensive review of the derivation of the Michaelis-Menten equation from the general equation for an enzymatic reaction, covering methods such as: the inverse method, the single reciprocal method, the direct implicit function method, the indirect response method, and the integration method to linearize the Michaelis-Menten equation. Furthermore, this manuscript discusses the application of derivatives to various scientific research situations, as well as the advantages and disadvantages of different derivatives from mathematical and enzymological perspectives. Finally, this manuscript proposes several solutions to the limitations and precautions in practical applications. We hope this topic will be resourceful to both instructors and students who are interested in scientific research in relevant field.
WANG Zhipeng,*,CHE Zi-Liang,MA Xin-Yu,ZHUANG Farica,JIANG Zhen-Xiong,YIN Sheng,WANG Peng. Discussion on Teaching Enzyme Kinetics: Plots of Michaelis-Menten Equation Derivatives and Their Figures[J]. Chinese Journal of Chemical Education, 2021, 42(8): 105-110.
