73 citations · 372 across the 19 of their papers we have counts for
8 papers · 1 filter
Kinetic foundation of the zero-inflated negative binomial model for single-cell RNA sequencing data
Chen Jia
Single-cell RNA sequencing data have complex features such as dropout events, over-dispersion, and high-magnitude outliers, resulting in complicated probability distributions of mR…
Single-cell stochastic gene expression kinetics with coupled positive-plus-negative feedback
Chen Jia, Le Yi Wang, George G. Yin +1
Here we investigate single-cell stochastic gene expression kinetics in a minimal coupled gene circuit with positive-plus-negative feedback. A triphasic stochastic bifurcation upon…
Exact power spectrum in a minimal hybrid model of stochastic gene expression oscillations
Chen Jia, Hong Qian, Michael Q. Zhang
Stochastic oscillations in individual cells are usually characterized by a non-monotonic power spectrum with an oscillatory autocorrelation function. Here we develop an analytical…
Relaxation rates of gene expression kinetics reveal the feedback signs of autoregulatory gene networks
Chen Jia, Hong Qian, Min Chen +1
The transient response to a stimulus and subsequent recovery to a steady state are the fundamental characteristics of a living organism. Here we study the relaxation kinetics of au…
Simplification of Markov chains with infinite state space and the mathematical theory of random gene expression bursts
Chen Jia
Here we develop an effective approach to simplify two-time-scale Markov chains with infinite state spaces by removal of states with fast leaving rates, which improves the simplific…
Emergent Lévy behavior in single-cell stochastic gene expression
Chen Jia, Michael Q. Zhang, Hong Qian
Single-cell gene expression is inherently stochastic; its emergent behavior can be defined in terms of the chemical master equation describing the evolution of the mRNA and protein…