12 citations · 13 across the 4 of their papers we have counts for
4 papers
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…
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…
Travelling waves in hybrid chemotaxis models
Benjamin Franz, Chuan Xue, Kevin J. Painter +1
Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properti…
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics
Benjamin Franz, Mark B. Flegg, S. Jonathan Chapman +1
Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) method…