5 citations · 8 across the 4 of their papers we have counts for
4 papers
A review of the deterministic and diffusion approximations for stochastic chemical reaction networks
Pavel Mozgunov, Marco Beccuti, Andras Horvath +3
This work reviews deterministic and diffusion approximations of the stochastic chemical reaction networks and explains their applications. We discuss the added value the diffusion…
Strong approximation of density dependent Markov chains on bounded domains
Enrico Bibbona, Roberta Sirovich
Density dependent families of Markov chains, such as the stochastic models of mass-action chemical kinetics, converge for large values of the indexing parameter to deterministi…
Approximate analysis of biological systems by hybrid switching jump diffusion
Alessio Angius, Gianfranco Balbo, Marco Beccuti +3
In this paper we consider large state space continuous time Markov chains (MCs) arising in the field of systems biology. For density dependent families of MCs that represent the in…
Analysis of Petri Net Models through Stochastic Differential Equations
Marco Beccuti, Enrico Bibbona, Andras Horvath +3
It is well known, mainly because of the work of Kurtz, that density dependent Markov chains can be approximated by sets of ordinary differential equations (ODEs) when their indexin…