Model reduction of chemical reaction systems using elimination

DOI10.1007/s11786-011-0093-2zbMath1270.92025OpenAlexW2060619690MaRDI QIDQ359898

Marc Lefranc, Pierre-Emmanuel Morant, François Boulier, François Lemaire

Publication date: 23 August 2013

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-011-0093-2

zbMATH Keywords

computer algebradifferential algebraquasi-steady state approximationchemical reaction systems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (7)

Decoupling multivariate fractions ⋮ Qualitative investigation of a gene model using computer algebra algorithms ⋮ Algebraic analysis of stability and bifurcation of a self-assembling micelle system ⋮ Differential Algebra and System Modeling in Cellular Biology ⋮ Applying a Rigorous Quasi-Steady State Approximation Method for Proving the Absence of Oscillations in Models of Genetic Circuits ⋮ Symbolic computation for the qualitative theory of differential equations ⋮ Algebra, geometry and topology of ERK kinetics

Uses Software

• Epsilon
• RegularChains
• RODAS
• BLAD
• DifferentialAlgebra

Cites Work

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• A normal form algorithm for regular differential chains
• Computing representations for radicals of finitely generated differential ideals
• Factorization-free decomposition algorithms in differential algebra
• Computing canonical representatives of regular differential ideals
• Applying a Rigorous Quasi-Steady State Approximation Method for Proving the Absence of Oscillations in Models of Genetic Circuits
• Stability analysis of biological systems with real solution classification
• On Proving the Absence of Oscillations in Models of Genetic Circuits
• Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries

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