17 citations · 21 across the 7 of their papers we have counts for
12 papers
Data Assimilation for Chemical Reaction Networks and Population Models via a Tunable Observer
Animikh Biswas, Gargi Chaudhuri, Muruhan Rathinam
We consider the problem of state reconstruction for a nonlinear dynamical system from observations of a linear function of the state. We present a design method for a tunable obser…
Stochastic Filtering of Reaction Networks Partially Observed in Time Snapshots
Muruhan Rathinam, Mingkai Yu
Stochastic reaction network models arise in intracellular chemical reactions, epidemiological models and other population process models, and are a class of continuous time Markov…
A generalized model of flocking with steering
Guy A Djokam, Muruhan Rathinam
We introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering…
State and parameter estimation from exact partial state observation in stochastic reaction networks
Muruhan Rathinam, Mingkai Yu
We consider chemical reaction networks modeled by a discrete state and continuous in time Markov process for the vector copy number of the species and provide a novel particle filt…
A Stochastic Binary Opinion Model: Opinion Dominance vs. Balance
Serap Tay Stamoulas, Muruhan Rathinam
We propose and study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment. An agent in the group updates his/her opi…
On the Validity of the Girsanov Transformation Method for Sensitivity Analysis of Stochastic Chemical Reaction Networks
Ting Wang, Muruhan Rathinam
We investigate the validity of the Girsanov Transformation (GT) method for parametric sensitivity analysis of stochastic models of chemical reaction networks. The validity depends…
Homogenization of a Random Walk on a Graph in : An approach to predict macroscale diffusivity in media with finescale obstructions and interactions
Preston Donovan, Muruhan Rathinam
We propose random walks on suitably defined graphs as a framework for finescale modeling of particle motion in an obstructed environment where the particle may have interactions wi…
Estimation of parameter sensitivities for stochastic reaction networks using tau-leap simulations
Ankit Gupta, Muruhan Rathinam, Mustafa Khammash
We consider the important problem of estimating parameter sensitivities for stochastic models of reaction networks that describe the dynamics as a continuous-time Markov process ov…
Convergence, stability and robustness of multidimensional opinion dynamics in continuous time
Serap Tay Stamoulas, Muruhan Rathinam
We analyze a continuous time multidimensional opinion model where agents have heterogeneous but symmetric and compactly supported interaction functions. We consider Filippov soluti…
Efficiency of the Girsanov transformation approach for parametric sensitivity analysis of stochastic chemical kinetics
Ting Wang, Muruhan Rathinam
Most common Monte Carlo methods for sensitivity analysis of stochastic reaction networks are the finite difference (FD), the Girsanov transformation (GT) and the regularized pathwi…
Convergence of moments of tau leaping schemes for unbounded Markov processes on integer lattices
Muruhan Rathinam
Tau leap schemes were originally designed for the efficient time stepping of discrete state and continuous in time Markov processes arising in stochastic chemical kinetics. Previou…
Moment growth bounds on continuous time Markov processes on non-negative integer lattices
Muruhan Rathinam
We consider Markov processes in continuous time with state space $\posint^N$ and provide two sufficient conditions and one necessary condition for the existence of moments $E(\|X(t…