2 citations · 2 across the 3 of their papers we have counts for
8 papers
Long-time asymptotics of stochastic reaction systems
Daniele Cappelletti, Abhishek Pal Majumder, Carsten Wiuf
We study the stochastic dynamics of a system of interacting species in a stochastic environment by means of a continuous-time Markov chain with transition rates depending on the st…
A hidden integral structure endows Absolute Concentration Robust systems with resilience to dynamical concentration disturbances
Daniele Cappelletti, Ankit Gupta, Mustafa Khammash
Biochemical systems that express certain chemical species of interest at the same level at any positive equilibrium are called "absolute concentration robust" (ACR). These species…
Addition of flow reactions preserving multistationarity and bistability
Daniele Cappelletti, Elisenda Feliu, Carsten Wiuf
We consider the question whether a chemical reaction network preserves the number and stability of its positive steady states upon inclusion of inflow and outflow reactions. Often…
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…
Stochastic Chemical Reaction Networks for Robustly Approximating Arbitrary Probability Distributions
Daniele Cappelletti, Andrés Ortiz-Muñoz, David Anderson +1
We show that discrete distributions on the -dimensional non-negative integer lattice can be approximated arbitrarily well via the marginals of stationary distributions for vario…
Discrepancies between extinction events and boundary equilibria in reaction networks
David Anderson, Daniele Cappelletti
Reaction networks are mathematical models of interacting chemical species that are primarily used in biochemistry. There are two modeling regimes that are typically used, one of wh…