85 citations · 119 across the 5 of their papers we have counts for
5 papers
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…
Stochastic Model of Yeast Cell Cycle Network
Yuping Zhang, Minping Qian, Qi Ouyang +3
Biological functions in living cells are controlled by protein interaction and genetic networks. These molecular networks should be dynamically stable against various fluctuations…