25 citations · 58 across the 9 of their papers we have counts for
10 papers
Convergence of regularized particle filters for stochastic reaction networks
Zhou Fang, Ankit Gupta, Mustafa Khammash
Filtering for stochastic reaction networks (SRNs) is an important problem in systems/synthetic biology aiming to estimate the state of unobserved chemical species. A good solution…
Stochastic filtering for multiscale stochastic reaction networks based on hybrid approximations
Zhou Fang, Ankit Gupta, Mustafa Khammash
In the past few decades, the development of fluorescent technologies and microscopic techniques has greatly improved scientists' ability to observe real-time single-cell activities…
Stochastic filters based on hybrid approximations of multiscale stochastic reaction networks
Zhou Fang, Ankit Gupta, Mustafa Khammash
We consider the problem of estimating the dynamic latent states of an intracellular multiscale stochastic reaction network from time-course measurements of fluorescent reporters. W…
A graphic formulation of non-isothermal chemical reaction systems and the analysis of detailed balanced networks
Zhou Fang, Arjan van der Schaft, Chuanhou Gao
In this paper, we provide a graphic formulation of non-isothermal reaction systems and show that a non-isothermal detailed balanced network system converges (locally) asymptoticall…
Revisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential Equations
Xiaoyu Zhang, Zhou Fang, Chuanhou Gao
In this paper, we propose a novel technique, referred to as the Lyapunov Function PDEs technique, to diagnose persistence of chemical reaction networks with mass-action kinetics. T…
Stabilization of (state, input)-disturbed CSTRs through the port-Hamiltonian systems approach
Yafei Lu, Zhou Fang, Chuanhou Gao
It is a universal phenomenon that the state and input of the continuous stirred tank reactor (CSTR) systems are both disturbed. This paper proposes a (state, input)-disturbed port-…
Complex Balancing Reconstructed to the Asymptotic Stability of Mass-action Chemical Reaction Networks with Conservation Laws
Min Ke, Zhou Fang, Chuanhou Gao
Motivated by the fact that the pseudo-Helmholtz function is a valid Lyapunov function for characterizing asymptotic stability of complex balanced mass action systems (MASs), this p…
Time-domain Boundedness of Noise-to-State Exponentially Stable Systems
Zhou Fang, Chuanhou Gao
In this paper we prove the time-domain boundedness for noise-to-state exponentially stable systems, and further make an estimation of its lower bound function, which allows to answ…
Stochastic Weak Passivity Based Stabilization of Stochastic Systems with Nonvanishing Noise
Zhou Fang, Chuanhou Gao
For stochastic systems with nonvanishing noise, i.e., at the desired state the noise port does not vanish, it is impossible to achieve the global stability of the desired state in…
Lyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special Cases
Zhou Fang, Chuanhou Gao
In this paper, we develop a method to generate the Lyapunov function for stability analysis for chemical reaction networks. Based on the Chemical Master Equation, we derive the Lya…