371 citations · 642 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
Variance of finite difference methods for reaction networks with non-Lipschitz rate functions
David F. Anderson, Chaojie Yuan
Parametric sensitivity analysis is a critical component in the study of mathematical models of physical systems. Due to its simplicity, finite difference methods are used extensive…
Conditional Monte Carlo for Reaction Networks
David F. Anderson, Kurt W. Ehlert
Reaction networks are often used to model interacting species in fields such as biochemistry and ecology. When the counts of the species are sufficiently large, the dynamics of the…
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,…
Stochastically modeled weakly reversible reaction networks with a single linkage class
David F. Anderson, Daniele Cappelletti, Jinsu Kim
It has been known for nearly a decade that deterministically modeled reaction networks that are weakly reversible and consist of a single linkage class have trajectories that are b…