Exact lower and upper bounds on stationary moments in stochastic biochemical systems

KR Ghusinga, CA Vargas-Garcia, A Lamperski… - Physical …, 2017 - iopscience.iop.org
In the stochastic description of biochemical reaction systems, the time evolution of statistical
moments for species population counts is described by a linear dynamical system. However …

Robust economic model predictive control of continuous-time epidemic processes

NJ Watkins, C Nowzari… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we develop a robust economic model predictive controller for the containment
of stochastic susceptible-exposed-infected-vigilant (SEIV) epidemic processes, which drives …

Approximate moment dynamics for polynomial and trigonometric stochastic systems

KR Ghusinga, M Soltani, A Lamperski… - 2017 IEEE 56th …, 2017 - ieeexplore.ieee.org
Stochastic dynamical systems often contain non-linearities that make it hard to compute
probability density functions or statistical moments of these systems. For the moment …

Stochastic modeling of gene regulation by noncoding small rnas in the strong interaction limit

N Kumar, K Zarringhalam, RV Kulkarni - Biophysical journal, 2018 - cell.com
Noncoding small RNAs (sRNAs) are known to play a key role in regulating diverse cellular
processes, and their dysregulation is linked to various diseases such as cancer. Such …

Deterministic bounding systems for stochastic compartmental spreading processes

NJ Watkins, C Nowzari, VM Preciado… - arxiv preprint arxiv …, 2015 - arxiv.org
This paper studies a novel approach for approximating the behavior of compartmental
spreading processes. In contrast to prior work, the methods developed describe a dynamics …

Control design and analysis of a stochastic network control system

M Soltani, A Singh - arxiv preprint arxiv:1704.00236, 2017 - arxiv.org
A Network Control System (NCS) consists of control components that interact with the plant
over a shared network. The system dynamics of a NCS could be subject to noise arising …

Bounds on stationary moments in stochastic chemical kinetics

KR Ghusinga, CA Vargas-Garcia, A Lamperski… - arxiv preprint arxiv …, 2016 - arxiv.org
In the stochastic formulation of chemical kinetics, the stationary moments of the population
count of species can be described via a set of linear equations. However, except for some …

[BOG][B] On Moments and Timing-Stochastic Analysis of Biochemical Systems

KR Ghusinga - 2018 - search.proquest.com
At the level of individual living cells, key species such as genes, mRNAs, and proteins are
typically present in small numbers. Consequently, the biochemical reactions involving these …