Coordinate-independent singular perturbation reduction for systems with three time scales
From MaRDI portal
Publication:2160825
DOI10.3934/mbe.2019255zbMath1497.92372arXiv1903.11540OpenAlexW2924718128WikidataQ93200598 ScholiaQ93200598MaRDI QIDQ2160825
Niclas Kruff, Sebastian Walcher
Publication date: 3 August 2022
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11540
Classical flows, reactions, etc. in chemistry (92E20) Biochemistry, molecular biology (92C40) Singular perturbations of ordinary differential equations (34D15)
Related Items
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics, Discrete geometric singular perturbation theory, Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks, Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems, Singularly perturbed problems with multi-tempo fast variables, Geometric blow-up for folded limit cycle manifolds in three time-scale systems, Algorithmic reduction of biological networks with multiple time scales, Multiple timescales and the parametrisation method in geometric singular perturbation theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computing quasi-steady state reductions
- A constructive approach to quasi-steady state reductions
- Tikhonov's theorem and quasi-steady state
- Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks
- Quasi-steady-state approximation for chemical reaction networks
- Geometric singular perturbation theory for ordinary differential equations
- Asymptotic analysis of two reduction methods for systems of chemical reactions
- Mathematical biology. Vol. 1: An introduction.
- Classical quasi-steady state reduction -- a mathematical characterization
- Singular perturbations and scaling
- Determining ``small parameters for quasi-steady state
- Model Reduction of Biochemical Reactions Networks by Tropical Analysis Methods
- Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks
- Fenichel Theory for Multiple Time Scale Singular Perturbation Problems
- A geometric method for model reduction of biochemical networks with polynomial rate functions
