Qualitative studies of some biochemical models

DOI10.1134/S1063454120020144zbMath1461.76541OpenAlexW4285696148MaRDI QIDQ2227888

Yanyan Li

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120020144

zbMATH Keywords

Gröbner basisinvariant subspaceAndronov-Hopf bifurcationcomputational commutative algebrabiochemical reaction networkpolynomial ODE system

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Reaction effects in flows (76V05) Basic methods in fluid mechanics (76M99)

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Detection of Hopf bifurcations in chemical reaction networks using convex coordinates
• Investigating algebraic and logical algorithms to solve Hopf bifurcation problems in algebraic biology
• An approach to solving systems of polynomials via modular arithmetics with applications
• Algebraic approaches to stability analysis of biological systems
• Gröbner bases and primary decomposition of polynomial ideals
• Modular algorithms for computing Gröbner bases.
• Foundations of chemical reaction network theory
• Coordinate-independent criteria for Hopf bifurcations
• Algebraic analysis of stability and bifurcation of a self-assembling micelle system
• Inheritance of oscillation in chemical reaction networks
• Emergence of oscillations in a mixed-mechanism phosphorylation system
• The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks

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