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Researchers should cite this work as follows:

• Helfgott, M. (2023). 2007-Helfgott-Seier-Some Mathematical and Statistical Aspects of Enzyme Kinetics. SIMIODE, QUBES Educational Resources. doi:10.25334/KAM5-0205

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2007-HelfgottSeier-MathStatAspectsOfEnzymeKinetics

Helfgott,  Michel and Edith Seier. 2007.  Some Mathematical and Statistical Aspects of Enzyme Kinetics. The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID 1611.

See https://www.maa.org/press/periodicals/loci/joma/some-mathematical-and-statistical-aspects-of-enzyme-kinetics . Accessed 27 March 2023.

Abstract:  Most calculus or differential equations courses utilize examples taken from physics, often discussing them in great detail. Chemistry, however, is seldom utilized to illustrate mathematical concepts. This tendency should be reversed because chemistry, especially chemical kinetics, provides the opportunity to apply mathematics readily. We will analyze some basic ideas behind enzyme kinetics, which allow us to deal with separable and linear differential equations as well as realize the need to use power series to approximate e^x and ln(1+x) close to the origin, and to apply the recently defined Lambert W function. The models studied in this context require the estimation of parameters based on experimental data, which in turn allows us to discuss simple and multiple linear regression, transformations and non-linear regression and their implementation using statistical software.

Keywords: chemistry, parameter estimation, experimental, data, regression, enzyme, kinetics