Stochastic models of gene expression are typically formulated using the chemical master
equation, which can be solved exactly or approximately using a repertoire of analytical …

Molecular reactions within a cell are inherently stochastic, and cells often differ in
morphological properties or interact with a heterogeneous environment. Consequently, cell …

Stochastic models of gene expression are typically formulated using the chemical master
equation, which can be solved exactly or approximately using a repertoire of analytical …

We consider a model in which the production of new molecules in a chemical reaction
network occurs in a seemingly stochastic fashion, and can be modeled as a Poisson …

We consider the infinite-server queueing tandem with the Markovian arrival process. The
service time of requests at the first stage and the probability of their transition to the second …

An infinite-server queueing model with state-dependent arrival process and exponential
distribution of service time is analyzed. It is assumed that the difference between the value of …

In this paper we consider an Ornstein–Uhlenbeck (OU) process (M (t)) t≥ 0 whose
parameters are determined by an external Markov process (X (t)) t≥ 0 on a finite state space …

Abstract An M/M/C queueing system operating in a Markovian environment is studied. This
paper focuses on the stationary behavior and presents the theoretical framework. For a …

In this paper, we develop an M/M/c queueing system in a Markovian environment with
waiting servers, balking and reneging, under both synchronous single and multiple working …

In this paper we study the Markov-modulated M/M/∞∞ queue, with a focus on the
correlation structure of the number of jobs in the system. The main results describe the …