16 citations · 41 across the 17 of their papers we have counts for
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Identifiability of SDEs for reaction networks
Louis Faul, Linard Hoessly, Panqiu Xia
Biochemical reaction networks are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of reaction networks wit…
Asymptotic analysis for stationary distributions of scaled reaction networks
Linard Hoessly, Carsten Wiuf, Panqiu Xia
We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such netwo…
Reaction cleaving and complex-balanced distributions for chemical reaction networks with general kinetics
Linard Hoessly, Carsten Wiuf, Panqiu Xia
Reaction networks have become a major modelling framework in the biological sciences from epidemiology and population biology to genetics and cellular biology. In recent years, muc…
Fast reactions with non-interacting species in stochastic reaction networks
Linard Hoessly, Carsten Wiuf
We consider stochastic reaction networks modeled by continuous-time Markov chains. Such reaction networks often contain many reactions, potentially occurring at different time scal…
An algebraic approach to product-form stationary distributions for some reaction networks
Beatriz Pascual-Escudero, Linard Hoessly
Exact results for product-form stationary distributions of Markov chains are of interest in different fields. In stochastic reaction networks (CRNs), stationary distributions are m…
Stationary distributions via decomposition of stochastic reaction networks
Linard Hoessly
We examine reaction networks (CRNs) through their associated continuous-time Markov processes. Studying the dynamics of such networks is in general hard, both analytically and by s…
Stationary distributions and condensation in autocatalytic CRN
Linard Hoessly, Christian Mazza
We investigate a broad family of non weakly reversible stochastically modeled reaction networks (CRN), by looking at their steady-state distributions. Most known results on station…