Drug discovery is a risky, costly and time-consuming process depending on multidisciplinary
methods to create safe and effective medicines. Although considerable progress has been …

We study the effects of fast spatial movement of molecules on the dynamics of chemical
species in a spatially heterogeneous chemical reaction network using a compartment …

We propose a novel measure valued process which models the behaviour of chemical
reaction networks in spatially heterogeneous systems. It models reaction dynamics between …

This work presents a molecular-scale agent-based model for the simulation of enzymatic
reactions at experimentally measured concentrations. The model incorporates stochasticity …

With the development of single cell live imaging techniques, phenotypic heterogeneity
emerges, giving rise to the phenomenon known as biological" noise". This noise has been …

Motivated by questions of ergodicity for shift invariant Fleming-Viot process, we consider the
centered Fleming-Viot process (Zt) t⩾ 0 defined by Zt:= τ−⟨ id, Yt⟩♯ Yt, where (Yt) t⩾ 0is the …

In this paper, we introduce a stochastic model for the dynamics of actin polymers and their
interactions with other proteins in the cellular envelop. Each polymer elongates and …

Stochastic modeling of chemical reactions of a set I of species by a set K of reactions is
usually done by writing ν· k 0k−! ν0· k(1) for the kth reaction, k 2 K. Here, ν· k is the vector of …