Qualitative investigation of a gene model using computer algebra algorithms

DOI10.1134/S0361768815020048zbMath1339.92049OpenAlexW2061644997WikidataQ114847377 ScholiaQ114847377MaRDI QIDQ2629399

Valery G. Romanovski, François Lemaire, François Boulier, Mao'an Han

Publication date: 6 July 2016

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768815020048

zbMATH Keywords

Lyapunov functionAndronov-Hopf bifurcationelimination theory algorithmsmultidimensional polynomial differential equation systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Genetics and epigenetics (92D10)

Related Items (2)

Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Dynamical analysis of a two prey-one predator system with quadratic self interaction

Uses Software

• Mathematica
• RegularChains
• SINGULAR
• primdec

Cites Work

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• Model reduction of chemical reaction systems using elimination
• Gröbner bases and primary decomposition of polynomial ideals
• Investigation of center manifolds of three-dimensional systems using computer algebra
• Stability of motion
• The Center and Cyclicity Problems
• Applying a Rigorous Quasi-Steady State Approximation Method for Proving the Absence of Oscillations in Models of Genetic Circuits
• Efficient Methods to Compute Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates
• On Proving the Absence of Oscillations in Models of Genetic Circuits
• Elements of applied bifurcation theory

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