Ontology type: schema:ScholarlyArticle Open Access: True
2021-11-26
AUTHORSJustin Eilertsen, Santiago Schnell
ABSTRACTThe quasi-steady-state approximation is widely used to develop simplified deterministic or stochastic models of enzyme catalyzed reactions. In deterministic models, the quasi-steady-state approximation can be mathematically justified from singular perturbation theory. For several closed enzymatic reactions, the homologous extension of the quasi-steady-state approximation to the stochastic regime, known as the stochastic quasi-steady-state approximation, has been shown to be accurate under the analogous conditions that permit the quasi-steady-state reduction in the deterministic counterpart. However, it was recently demonstrated that the extension of the stochastic quasi-steady-state approximation to an open Michaelis–Menten reaction mechanism is only valid under a condition that is far more restrictive than the qualifier that ensures the validity of its corresponding deterministic quasi-steady-state approximation. In this paper, we suggest a possible explanation for this discrepancy from the lens of geometric singular perturbation theory. In so doing, we illustrate a misconception in the application of the quasi-steady-state approximation: timescale separation does not imply singular perturbation. More... »
PAGES7
http://scigraph.springernature.com/pub.10.1007/s11538-021-00966-5
DOIhttp://dx.doi.org/10.1007/s11538-021-00966-5
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PUBMEDhttps://www.ncbi.nlm.nih.gov/pubmed/34825985
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