Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks

DOI10.3934/dcdsb.2012.17.2153zbMath1253.80023OpenAlexW2137801186WikidataQ123298652 ScholiaQ123298652MaRDI QIDQ449302

Heinz Koeppl, Casian Pantea, Gheorghe Craciun

Publication date: 12 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.2153

zbMATH Keywords

Jacobian conjecturebiochemical reaction networksglobal injectivitymultistability

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items

Signomial and polynomial optimization via relative entropy and partial dualization ⋮ Algebraic Perspectives on Signomial Optimization ⋮ The kinetic space of multistationarity in dual phosphorylation ⋮ Sublinear circuits for polyhedral sets ⋮ Nonnegative Polynomials and Circuit Polynomials ⋮ Symmetry Reduction in AM/GM-Based Optimization ⋮ Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks ⋮ Sublinear circuits and the constrained signomial nonnegativity problem ⋮ Conic linear optimization for computer-assisted proofs. Abstracts from the workshop held April 10--16, 2022 ⋮ A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomial maps ⋮ Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States ⋮ On the Liouville integrability of Edelstein's reaction system in \(\mathbb R^3\) ⋮ Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry ⋮ Newton polytopes and relative entropy optimization ⋮ Symbolic Proof of Bistability in Reaction Networks

This page was built for publication: Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks