22 citations · 78 across the 10 of their papers we have counts for
10 papers
Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space
Chen Jia, Da-quan Jiang, Bingjie Wu
Here we propose the Donsker-Varadhan-type compactness conditions and prove the joint large deviation principle for the empirical measure and empirical flow of Markov renewal proces…
Detailed balance, local detailed balance, and global potential for stochastic chemical reaction networks
Chen Jia, Da-Quan Jiang, Youming Li
Detailed balance of a chemical reaction network can be defined in several different ways. Here we investigate the relationship among four types of detailed balance conditions: dete…
Phenotypic Equilibrium as Probabilistic Convergence in Multi-phenotype Cell Population Dynamics
Da-Quan Jiang, Yue Wang, Da Zhou
We consider the cell population dynamics with different phenotypes. Both the Markovian branching process model (stochastic model) and the ordinary differential equation (ODE) s…
Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains
Chen Jia, Daquan Jiang, Minping Qian
In probability theory, equalities are much less than inequalities. In this paper, we find a series of equalities which characterize the symmetry of the forming times of a family of…
An allosteric model of the inositol trisphosphate receptor with nonequilibrium binding
Chen Jia, Daquan Jiang, Minping Qian
The inositol trisphosphate receptor (IPR) is a crucial ion channel that regulates the Ca influx from the endoplasmic reticulum (ER) to the cytoplasm. A thorough study of the…
Overshoot in biological systems modeled by Markov chains: a nonequilibrium dynamic phenomenon
Chen Jia, Minping Qian, Daquan Jiang
A number of biological systems can be modeled by Markov chains. Recently, there has been an increasing concern about when biological systems modeled by Markov chains will perform a…
Modeling stochastic phenotype switching and bet-hedging in bacteria: stochastic nonlinear dynamics and critical state identification
Chen Jia, Min-Ping Qian, Yu Kang +1
Fluctuating environments pose tremendous challenges to bacterial populations. It is observed in numerous bacterial species that individual cells can stochastically switch among mul…
Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle
Hao Ge, Chen Jia, Da-Quan Jiang
Cyclic structure and dynamics are of great interest in both the fields of stochastic processes and nonequilibrium statistical physics. In this paper, we find a new symmetry of the…
Kinetic behavior of the general modifier mechanism of Botts and Morales with non-equilibrium binding
Chen Jia, Xu-Feng Liu, Min-Ping Qian +2
In this paper, we perform a complete analysis of the kinetic behavior of the general modifier mechanism of Botts and Morales in both equilibrium steady states and non-equilibrium s…
Generalized Jarzynski's equality of inhomogeneous multidimensional diffusion processes
Hao Ge, Daquan Jiang
Applying the well-known Feynman-Kac formula of inhomogeneous case, an interesting and rigorous mathematical proof of generalized Jarzynski's equality of inhomogeneous multidimensio…