Heineken, Tsuchiya and Aris on the mathematical status of the pseudo-steady state hypothesis: a classic from volume 1 of Mathematical Biosciences

dc.contributor.authorRoussel, Marc R.
dc.date.accessioned2019-11-27T00:29:28Z
dc.date.available2019-11-27T00:29:28Z
dc.date.issued2019
dc.descriptionSherpa Romeo green journal. Permission to archive author manuscripten_US
dc.description.abstractVolume 1, Issue 1 of Mathematical Biosciences was the venue for a now-classic paper on the application of singular perturbation theory in enzyme kinetics, “On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics” by F. G. Heineken, H. M. Tsuchiya and R. Aris. More than 50 years have passed, and yet this paper continues to be studied and mined for insights. This perspective discusses both the strengths and weaknesses of the work presented in this paper. For many, the justification of the pseudo-steady-state approximation using singular perturbation theory is the main achievement of this paper. However, there is so much more material here, which laid the foundation for a great deal of research in mathematical biochemistry in the intervening decades. The parameterization of the equations, construction of the first-order uniform singular-perturbation solution, and an attempt to apply similar principles to the pseudo-equilibrium approximation are discussed in particular detail.en_US
dc.identifier.citationRoussel, M. R. (2019). Heineken, Tsuchiya and Aris on the mathematical status of the pseudo-steady state hypothesis: A classic from volume 1 of Mathematical Biosciences. Mathematical Biosciences, 318, 108274. https://doi.org/10.1016/j.mbs.2019.108274en_US
dc.identifier.urihttps://hdl.handle.net/10133/5595
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.publisher.departmentDepartment of Chemistry and Biochemistryen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.urlhttps://doi.org/10.1016/j.mbs.2019.108274en_US
dc.subjectSingular perturbation theoryen_US
dc.subjectMichaelis-Menten mechanismen_US
dc.subjectPseudo-steady-state approximationen_US
dc.subjectPseudo-equilibrium approximationen_US
dc.titleHeineken, Tsuchiya and Aris on the mathematical status of the pseudo-steady state hypothesis: a classic from volume 1 of Mathematical Biosciencesen_US
dc.typeArticleen_US
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