Éditeur(s) :
HAL CCSD Springer Verlag (Germany) Résumé : International audience
The Michaelis-Menten enzymatic reaction is sufficient to perceive many subtleties of network modeling, including the concentration and time scales separations, the formal equivalence between bulk phase and single-molecule approaches, or the relationships between single-cycle transient probabilities and steady state rates. Seven methods proposed by different authors and yielding the same famous Michaelis-Menten equation, are selected here to illustrate the kinetic and probabilistic use of rate constants and to review basic techniques for handling them. Finally, the general rate of an ordered multistep reaction, of which the Michaelis-Menten reaction is a particular case, is deduced from a Markovian approach.
Journal of Mathematical Chemistry
hal-00920806
https://hal-univ-rennes1.archives-ouvertes.fr/hal-00920806 https://hal-univ-rennes1.archives-ouvertes.fr/hal-00920806/document ARXIV : 1312.5468
DOI : 10.1007/s10910-013-0237-5