74 citations · 75 across the 7 of their papers we have counts for
7 papers
A general-purpose sensitivity method for multiple simultaneous parameter perturbations in stochastic reaction networks
David F. Anderson, Jingyi Ma
Stochastic reaction networks are continuous-time Markov chain models for interacting populations, with applications in biochemistry, epidemiology, ecology, and related areas. We st…
Mathematical Analysis for a Class of Stochastic Copolymerization Processes
David F. Anderson, Jingyi Ma, Praful Gagrani
We study a stochastic model of a copolymerization process that has been extensively investigated in the physics literature. The main questions of interest include: (i) what are the…
Chemical mass-action systems as analog computers: implementing arithmetic computations at specified speed
David F. Anderson, Badal Joshi
Recent technological advances allow us to view chemical mass-action systems as analog computers. In this context, the inputs to a computation are encoded as initial values of certa…
A new path method for exponential ergodicity of Markov processes on , with applications to stochastic reaction networks
David F. Anderson, Daniele Cappelletti, Wai-Tong Louis Fan +1
This paper provides a new path method that can be used to determine when an ergodic continuous-time Markov chain on converges exponentially fast to its stationary dis…
Error analysis of tau-leap simulation methods
David F. Anderson, Arnab Ganguly, Thomas G. Kurtz
We perform an error analysis for numerical approximation methods of continuous time Markov chain models commonly found in the chemistry and biochemistry literature. The motivation…
Product-form stationary distributions for deficiency zero chemical reaction networks
David F. Anderson, Gheorghe Craciun, Thomas G. Kurtz
We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible sub…