43 citations · 61 across the 15 of their papers we have counts for
10 papers · 1 filter
Classification of multistationarity for mass action networks with one-dimensional stoichiometric subspace
Casian Pantea, Galyna Voitiuk
We characterize completely the capacity for (nondegenerate) multistationarity of mass action reaction networks with one-dimensional stoichiometric subspace in terms of reaction str…
Multistationarity in cyclic sequestration-transmutation networks
Gheorghe Craciun, Badal Joshi, Casian Pantea +1
We consider a natural class of reaction networks which consist of reactions where either two species can inactivate each other (i.e., sequestration), or some species can be transfo…
A graph-theoretic condition for delay stability of reaction systems
Gheorghe Craciun, Maya Mincheva, Casian Pantea +1
Delay mass-action systems provide a model of chemical kinetics when past states influence the current dynamics. In this work, we provide a graph-theoretic condition for delay stabi…
Delay stability of reaction systems
Gheorghe Craciun, Maya Mincheva, Casian Pantea +1
Delay differential equations are used as a model when the effect of past states has to be taken into account. In this work we consider delay models of chemical reaction networks wi…
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
Matthew D. Johnston, Stefan Müller, Casian Pantea
We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. Our main results state that (i) if the underlying gen…
A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems
Gheorghe Craciun, Stefan Muller, Casian Pantea +1
Mass-action kinetics and its generalizations appear in mathematical models of (bio-)chemical reaction networks, population dynamics, and epidemiology. The dynamical systems arising…