title: Hyperbolic saturation.
abstract: Several hyperbolically saturating empirical models, such as the Michaelis-Menten rate equation, Monod's relative population growth rate, competitive inhibition, and Langmuir's adsorption, are rederived from a simple queuing relation. The resulting derivations reveal and potentially explain the underlying structure and meaning of such empirical models. This view is proposed as a unifying heuristic.
authors.affiliation: Department of Microbiology and Molecular Genetics, Michigan State University, East Lansing, 48824, USA. jhjacksn@msu.edu
authors.forename: J H
authors.initials: JH
authors.lastname: Jackson
authors.forename: C R
authors.initials: CR
authors.lastname: MacCluer
mesh_terms: D000327:Adsorption; D000465:Algorithms; D001419:Bacteria / Q000254:growth & development / Q000378:metabolism; D001667:Binding, Competitive; D055162:Biocatalysis; D050260:Carbohydrate Metabolism; D004791:Enzyme Inhibitors / Q000378:metabolism; D004798:Enzymes / Q000378:metabolism; D005740:Gases / Q000737:chemistry; D007700:Kinetics; D008954:Models, Biological
chemical_list: D004791:Enzyme Inhibitors; D004798:Enzymes; D005740:Gases