371 citations · 642 across the 29 of their papers we have counts for
4 papers · 1 filter
Lyapunov functions, stationary distributions, and non-equilibrium potential for chemical reaction networks
David F. Anderson, Gheorghe Craciun, Manoj Gopalkrishnan +1
We consider the relationship between stationary distributions for stochastic models of reaction systems and Lyapunov functions for their deterministic counterparts. Specifically, w…
Hybrid Pathwise Sensitivity Methods for Discrete Stochastic Models of Chemical Reaction Systems
Elizabeth Skubak Wolf, David F. Anderson
Stochastic models are often used to help understand the behavior of intracellular biochemical processes. The most common such models are continuous time Markov chains (CTMCs). Para…
An asymptotic relationship between coupling methods for stochastically modeled population processes
David F. Anderson, Masanori Koyama
This paper is concerned with elucidating a relationship between two common coupling methods for the continuous time Markov chain models utilized in the cell biology literature. The…
Stochastic Representations of Ion Channel Kinetics and Exact Stochastic Simulation of Neuronal Dynamics
David F. Anderson, Bard Ermentrout, Peter J. Thomas
In this paper we provide two representations for stochastic ion channel kinetics, and compare the performance of exact simulation with a commonly used numerical approximation strat…