109 citations · 497 across the 40 of their papers we have counts for
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Critical parameters for singular perturbation reductions of chemical reaction networks
Elisenda Feliu, Sebastian Walcher, Carsten Wiuf
We are concerned with polynomial ordinary differential systems that arise from modelling chemical reaction networks. For such systems, which may be of high dimension and may depend…
Long-time asymptotics of stochastic reaction systems
Daniele Cappelletti, Abhishek Pal Majumder, Carsten Wiuf
We study the stochastic dynamics of a system of interacting species in a stochastic environment by means of a continuous-time Markov chain with transition rates depending on the st…
Quasi-steady state and singular perturbation reduction for reaction networks with non-interacting species
Elisenda Feliu, Christian Lax, Sebastian Walcher +1
Quasi-steady state (QSS) reduction is a commonly used method to lower the dimension of a differential equation model of a chemical reaction network. From a mathematical perspective…
Node Balanced Steady States: Unifying and Generalizing Complex and Detailed Balanced Steady States
Elisenda Feliu, Daniele Cappelletti, Carsten Wiuf
We introduce a unifying and generalizing framework for complex and detailed balanced steady states in chemical reaction network theory. To this end, we generalize the graph commonl…
Uniform Approximation of Solutions by Elimination of Intermediate Species in Deterministic Reaction Networks
Daniele Cappelletti, Carsten Wiuf
Chemical reactions often proceed through the formation and the consumption of intermediate species. An example is the creation and subsequent degradation of the substrate-enzyme co…
Intermediates and Generic Convergence to Equilibria
Michael Marcondes de Freitas, Carsten Wiuf, Elisenda Feliu
Known graphical conditions for the generic or global convergence to equilibria of the dynamical system arising from a reaction network are shown to be invariant under the so-called…