37 citations · 68 across the 20 of their papers we have counts for
6 papers · 1 filter
Reduced-Precision Stochastic Simulation for Mathematical Biology
Tom Kimpson, Mark B. Flegg, Jennifer A. Flegg
The stochastic simulation algorithm (SSA) is widely used to perform exact forward simulation of discrete stochastic processes in biology. However, the computational cost, driven by…
Evaluating interventions for Plasmodium vivax forest malaria using a three-scale mathematical model
Shoshana Elgart, Mark B. Flegg, Jennifer A. Flegg
The rising proportion of Plasmodium vivax cases concentrated in forest-fringe areas across the Greater Mekong Subregion highlights the importance of pharmaceutical and mosquito con…
Enzyme kinetics simulation at the scale of individual particles
Taylor Kearney, Mark B. Flegg
Enzyme-catalysed reactions involve two distinct timescales. There is a short timescale on which enzymes bind to substrate molecules to produce bound complexes, and a comparatively…
Smoluchowski reaction kinetics for reactions of any order
Mark B. Flegg
In 1917, Marian von Smoluchowski presented a simple mathematical description of diffusion-controlled reactions on the scale of individual molecules. His model postulated that a rea…
The pseudo-compartment method for coupling PDE and compartment-based models of diffusion
Christian A. Yates, Mark B. Flegg
Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature impl…
Analysis of the two-regime method on square meshes
Mark B. Flegg, S. Jonathan Chapman, Likun Zheng +1
The two-regime method (TRM) has been recently developed for optimizing stochastic reaction-diffusion simulations. It is a multiscale (hybrid) algorithm which uses stochastic reacti…