34 citations · 202 across the 25 of their papers we have counts for
5 papers · 1 filter
Extending the multi-level method for the simulation of stochastic biological systems
Christopher Lester, Ruth E. Baker, Michael B. Giles +1
The multi-level method for discrete state systems, first introduced by Anderson and Higham [Multiscale Model. Simul. 10:146--179, 2012], is a highly efficient simulation technique…
Hard-sphere interactions in velocity jump models
Benjamin Franz, Jake Taylor-King, Christian Yates +1
Group-level behaviour of particles undergoing a velocity jump process with hard-sphere interactions is investigated. We derive -particle transport equations that include the pos…
An adaptive multi-level simulation algorithm for stochastic biological systems
Christopher Lester, Christian A. Yates, Michael B. Giles +1
Discrete-state, continuous-time Markov models are widely used in the modeling of biochemical reaction networks. Their complexity often precludes analytic solution, and we rely on s…
Onset of collective motion in locusts is captured by a minimal model
Louise Dyson, Christian A. Yates, Jerome Buhl +1
We present a minimal model to describe the onset of collective motion seen when a population of locusts are placed in an annular arena. At low densities motion is disordered, while…
Mathematical Modelling of Turning Delays in Swarm Robotics
Jake P. Taylor-King, Benjamin Franz, Christian A. Yates +1
We investigate the effect of turning delays on the behaviour of groups of differential wheeled robots and show that the group-level behaviour can be described by a transport equati…