371 citations · 642 across the 29 of their papers we have counts for
17 papers · 1 filter
Fluctuation impossibility results for stochastic burst networks
David F. Anderson
Stochastic reaction networks often involve components at low copy number, where individual production and degradation events generate substantial fluctuations. Yan et al.\ conjectu…
Stochastic reaction networks within interacting compartments
David F. Anderson, Aidan S. Howells
Stochastic reaction networks, which are usually modeled as continuous-time Markov chains on , and simulated via a version of the "Gillespie algorithm," have pr…
Mixing times for two classes of stochastically modeled reaction networks
David F. Anderson, Jinsu Kim
The past few decades have seen robust research on questions regarding the existence, form, and properties of stationary distributions of stochastically modeled reaction networks. W…
Deficiency zero for random reaction networks under a stochastic block model framework
David F. Anderson, Tung D. Nguyen
Deficiency zero is an important network structure and has been the focus of many celebrated results within reaction network theory. In our previous paper \textit{Prevalence of defi…
Prevalence of deficiency zero reaction networks in an Erdos-Renyi framework
David F. Anderson, Tung D. Nguyen
Reaction networks are commonly used within the mathematical biology and mathematical chemistry communities to model the dynamics of interacting species. These models differ from th…
Time-dependent product-form Poisson distributions for reaction networks with higher order complexes
David F. Anderson, David Schnoerr, Chaojie Yuan
It is well known that stochastically modeled reaction networks that are complex balanced admit a stationary distribution that is a product of Poisson distributions. In this paper,…