The recent experimental progresses in handling microscopic systems have allowed to probe
them at levels where fluctuations are prominent, calling for stochastic modeling in a large …

A stochastic model of autoregulated bursty gene expression by Kumar et al.[Phys. Rev. Lett.
113, 268105 (2014)] has been exactly solved in steady-state conditions under the implicit …

Classical gene expression models assume exponential switching time distributions between
the active and inactive promoter states. However, recent experiments have shown that many …

While the steady-state behavior of stochastic gene expression with auto-regulation has been
extensively studied, its time-dependent behavior has received much less attention. Here …

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 …

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 simplification …

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 …

The cycle current is a crucial quantity in stochastic thermodynamics. The absolute and net
cycle currents of a Markovian system can be defined in the loop-erased (LE) or spanning …

We derive an approximate closed-form solution to the chemical master equation describing
the Michaelis–Menten reaction mechanism of enzyme action. In particular, assuming that the …

Novel hidden thermodynamic structures have recently been uncovered during the
investigation of nonequilibrium thermodynamics for multiscale stochastic processes. Here …