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…
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…
On matrix exponential approximations of the infimum of a spectrally negative Levy process
Florin Avram, Andras Horvath, M. R. Pistorius
We recall four open problems concerning constructing high-order matrix-exponential approximations for the infimum of a spectrally negative Levy process (with applications to first-…