Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws

DOI10.1137/090779401zbMath1221.92046OpenAlexW2078057071MaRDI QIDQ2999801

Patrick De Leenheer, Eduardo D. Sontag, David Angeli

Publication date: 17 May 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3d883ce5ba0bd7625b57214380e87d4f46102456

zbMATH Keywords

Petri nets

Mathematics Subject Classification ID

Related Items (23)

Persistence and stability of a class of kinetic compartmental models ⋮ Necessary and sufficient conditions for protocell growth ⋮ Concordant chemical reaction networks ⋮ A reaction network approach to the theory of acoustic wave turbulence ⋮ Graphical characterizations of robust stability in biological interaction networks ⋮ Asymptotic stability of a non-weakly reversible biochemical reaction network composed of cardiac hypertrophy factors ⋮ Trap spaces of Boolean networks are conflict-free siphons of their Petri net encoding ⋮ Stability analysis for Butlerov chemical reaction in batch reactor ⋮ Robust Persistence and Permanence of Polynomial and Power Law Dynamical Systems ⋮ On the existence of the positive steady states of weakly reversible deficiency-one mass action systems ⋮ Complex Balancing Reconstructed to the Asymptotic Stability of Mass-Action Chemical Reaction Networks with Conservation Laws ⋮ A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks ⋮ Persistence In Chemical Reaction Networks With Arbitrary Time Delays ⋮ Boundedness of trajectories for weakly reversible, single linkage class reaction systems ⋮ Complex and detailed balancing of chemical reaction networks revisited ⋮ Intermediates, catalysts, persistence, and boundary steady states ⋮ Unnamed Item ⋮ A network dynamics approach to chemical reaction networks ⋮ A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases ⋮ The deficiency zero theorem and global asymptotic stability for a class of chemical reaction networks with arbitrary time delays ⋮ Global exponential stability of certain switched systems with time-varying delays ⋮ A permanence theorem for local dynamical systems ⋮ Minimal trap spaces of logical models are maximal siphons of their Petri net encoding

This page was built for publication: Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws