Robust stability serves as an important regulation mechanism in system biology and
synthetic biology. In this paper, the robust stability analysis problem is investigated for a …

The finite state projection (FSP) method has enabled us to solve the chemical master
equation of some biological models that were considered out of reach not long ago. Since …

We discuss conceptional and foundational aspects of Markov automata [22]. We place this
model in the context of continuous-and discrete-time Markov chains, probabilistic automata …

To cope with an extremely large or even infinite state space when solving the chemical
master equation in biological problems, a potent strategy is to restrict to a finite state …

This paper proposes an improved robust delay-dependent criterion for stability of genetic
regulatory networks with delays which vary in an interval. A modified Lyapunov–Krasovskii …

We consider continuous-time Markov chains that describe the stochastic evolution of a
dynamical system by a transition-rate matrix Q which depends on a parameter θ. Computing …

DNA methylation is an important biological mechanism to regulate gene expression and
control cell development. Mechanistic modeling has become a popular approach to …

Stochastic models of biological networks properly take the randomness of molecular
dynamics in living cells into account. Numerical solution approaches inspired by …

Often, given a system of biochemical reactions, it is useful to be able to predict the system's
future state from the initial quantities of the involved molecules. There are methodologies for …

This book is about the Markovian modeling and analysis of systems with a discrete
multidimensional state space in which various transitions take place. The models of interest …