371 citations · 642 across the 29 of their papers we have counts for
5 papers · 1 filter
Results on stochastic reaction networks with non-mass action kinetics
David F. Anderson, Tung D. Nguyen
In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction network is complex balanced, then the associated stochastic model admits a stationary dist…
Some network conditions for positive recurrence of stochastically modeled reaction networks
David F. Anderson, Jinsu Kim
We consider discrete-space continuous-time Markov models of reaction networks and provide sufficient conditions for the following stability condition to hold: each state in a close…
Non-explosivity of stochastically modeled reaction networks that are complex balanced
David F. Anderson, Daniele Cappelletti, Masanori Koyama +1
We consider stochastically modeled reaction networks and prove that if a constant solution to the Kolmogorov forward equation decays fast enough relatively to the transition rates,…
Low variance couplings for stochastic models of intracellular processes with time-dependent rate functions
David F. Anderson, Chaojie Yuan
A number of coupling strategies are presented for stochastically modeled biochemical processes with time-dependent parameters. In particular, the stacked coupling is introduced and…
Conditions for Extinction Events in Chemical Reaction Networks with Discrete State Spaces
Matthew D. Johnston, David F. Anderson, Gheorghe Craciun +1
We study chemical reaction networks with discrete state spaces, such as the standard continuous time Markov chain model, and present sufficient conditions on the structure of the n…