22 citations · 31 across the 8 of their papers we have counts for
10 papers
Computational translation framework identifies biochemical reaction networks with special topologies and their long-term dynamics
Hyukpyo Hong, Bryan S. Hernandez, Jinsu Kim +1
Long-term behaviors of biochemical systems are described by steady states in deterministic models and stationary distributions in stochastic models. Obtaining their analytic soluti…
Mixing times for two classes of stochastically modeled reaction networks
David F. Anderson, Jinsu Kim
The past few decades have seen robust research on questions regarding the existence, form, and properties of stationary distributions of stochastically modeled reaction networks. W…
Identifiability of Stochastically Modelled Reaction Networks
German Enciso, Radek Erban, Jinsu Kim
Chemical reaction networks describe interactions between biochemical species. Once an underlying reaction network is given for a biochemical system, the system dynamics can be mode…
Slack Reactants: A State-Space Truncation Framework to Estimate Quantitative Behavior of the Chemical Master Equation
Jinsu Kim, Jason Dark, German Enciso +1
State space truncation methods are widely used to approximate solutions of the chemical master equation. While most methods of this kind focus on truncating the state space directl…
Stationary distributions of systems with Discreteness Induced Transitions
Enrico Bibbona, Jinsu Kim, Carsten Wiuf
We provide a theoretical analysis of some autocatalytic reaction networks exhibiting the phenomenon of discretely induced transitions (DITs). The family of networks that we address…
Absolutely Robust Controllers for Chemical Reaction Networks
Jinsu Kim, German Enciso
In this work, we design a type of controller that consists of adding a specific set of reactions to an existing mass-action chemical reaction network in order to control a target s…
Accuracy of Multiscale Reduction for Stochastic Reaction Systems
German Enciso, Jinsu Kim
Stochastic models of chemical reaction networks are an important tool to describe and analyze noise effects in cell biology. When chemical species and reaction rates in a reaction…
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…
Tier structure of strongly endotactic reaction networks
David Anderson, Daniele Cappelletti, Jinsu Kim +1
Reaction networks are mainly used to model the time-evolution of molecules of interacting chemical species. Stochastic models are typically used when the counts of the molecules ar…
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…