3 papers
math.DS2022
A Computational Approach to Polynomial Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
For polynomial ODE models, we introduce and discuss the concepts of exact and approximate conservation laws, which are the first integrals of the full and truncated sets of ODEs. F…
math.DS2022
Reduction of Chemical Reaction Networks with Approximate Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails when the fast subsystem has first integrals. We call these first integra…
q-bio.MN2022
Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations
Aurélien Desoeuvres, Peter Szmolyan, Ovidiu Radulescu
We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networ…