4 papers
First passage times of transport on planar spatial networks and their connections to off-network planar diffusion
D. B. Wilson, C. H. L. Beentjes
Consider a network embedded in the 2D plane, where a particle diffuses along the edges of the network. It is clear that over short length scales a particle moves along a single edg…
Exact solution of stochastic gene expression models with bursting, cell cycle and replication dynamics
Casper H. L. Beentjes, Ruben Perez-Carrasco, Ramon Grima
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 su…
Uniformisation techniques for stochastic simulation of chemical reaction networks
Casper Beentjes, Ruth Baker
This work considers the method of uniformisation for continuous-time Markov chains in the context of chemical reaction networks. Previous work in the literature has shown that unif…
Quasi-Monte Carlo methods applied to tau-leaping in stochastic biological systems
Casper H. L. Beentjes, Ruth E. Baker
Quasi-Monte Carlo methods have proven to be effective extensions of traditional Monte Carlo methods in, amongst others, problems of quadrature and the sample path simulation of sto…