80 citations · 112 across the 5 of their papers we have counts for
5 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…
The computation of disconnected bifurcation diagrams
Patrick E. Farrell, Casper H. L. Beentjes, Ásgeir Birkisson
Arclength continuation and branch switching are enormously successful algorithms for the computation of bifurcation diagrams. Nevertheless, their combination suffers from three sig…