Quasi-steady state - Intuition, perturbation theory and algorithmic algebra

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Abstract

This survey of mathematical approaches to quasi-steady state (QSS) phenomena provides an analytical foundation for an algorithmic-algebraic treatment of the associated (parameter-dependent) ordinary differential systems, in particular for reaction networks. Topics include an ad hoc reduction procedure, singular perturbations, and methods to identify suitable parameter regions.

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Goeke, A., Walcher, S., & Zerz, E. (2015). Quasi-steady state - Intuition, perturbation theory and algorithmic algebra. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9301, pp. 135–151). Springer Verlag. https://doi.org/10.1007/978-3-319-24021-3_10

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