Inside individual cells, expression of genes is inherently stochastic and manifests as cell-to-
cell variability or noise in protein copy numbers. Since proteins half-lives can be comparable …

Intracellular reaction rates depend on concentrations and hence their levels are often
regulated. However classical models of stochastic gene expression lack a cell size …

The standard model describing the fluctuations of mRNA numbers in single cells is the
telegraph model which includes synthesis and degradation of mRNA, and switching of the …

The bulk of stochastic gene expression models in the literature do not have an explicit
description of the age of a cell within a generation and hence they cannot capture events …

The chemical master equation and the Gillespie algorithm are widely used to model the
reaction kinetics inside living cells. It is thereby assumed that cell growth and division can be …

At the single-cell level, noise arises from multiple sources, such as inherent stochasticity of
biomolecular processes, random partitioning of resources at division, and fluctuations in …

Population growth is often ignored when quantifying gene expression levels across clonal
cell populations. We develop a framework for obtaining the molecule number distributions in …

How isogenic cell populations maintain size homeostasis, ie, a narrow distribution of cell
size, is an intriguing fundamental problem. We model cell size using a stochastic hybrid …

Piecewise deterministic Markov processes (PDMP) are a class of mathematical models that
integrates discrete stochastic events with continuous deterministic dynamics. The exact …

The cell division rate, size and gene expression programmes change in response to
external conditions. These global changes impact on average concentrations of biomolecule …