34 citations · 202 across the 25 of their papers we have counts for
28 papers
The mass-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks
Joshua C. Kynaston, Christian A Yates, Anna Hekkink +1
There exist several methods for simulating biological and physical systems as represented by chemical reaction networks. Systems with low numbers of particles are frequently modell…
Stochastic drift in discrete waves of non-locally interacting-particles
Andrei Sontag, Tim Rogers, Christian A. Yates
In this paper, we investigate a generalised model of particles undergoing second-order non-local interactions on a lattice. Our results have applications across many research a…
Swapping in lattice-based cell migration models
Shahzeb Raja Noureen, Jennifer P. Owen, Richard L. Mort +1
Cell migration is frequently modelled using on-lattice agent-based models (ABMs) that employ the excluded volume interaction. However, cells are also capable of exhibiting more com…
Critical weaknesses in shielding strategies for COVID-19
Cameron A. Smith, Christian A. Yates, Ben Ashby
The COVID-19 pandemic, caused by the coronavirus SARS-CoV-2, has led to a wide range of non-pharmaceutical interventions being implemented around the world to curb transmission. Ho…
An equivalence framework for an age-structured multi-stage representation of the cell cycle
Joshua C. Kynaston, Chris Guiver, Christian A. Yates
We develop theoretical equivalences between stochastic and deterministic models for populations of individual cells stratified by age. Specifically, we develop a hierarchical syste…
Incorporating domain growth into hybrid methods for reaction-diffusion systems
Cameron A. Smith, Christian A. Yates
Reaction--diffusion mechanism are a robust paradigm that can be used to represent many biological and physical phenomena over multiple spatial scales. Applications include intracel…