5 papers
Parameter inference for a stochastic kinetic model of expanded polyglutamine proteins
Holly F. Fisher, Richard J. Boys, Colin S. Gillespie +2
The presence of protein aggregates in cells is a known feature of many human age-related diseases, such as Huntington's disease. Simulations using fixed parameter values in a model…
Bayesian inference for a partially observed birth-death process using data on proportions
Richard J. Boys, Holly F. Ainsworth, Colin S. Gillespie
Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be…
Efficient construction of Bayes optimal designs for stochastic process models
Colin S. Gillespie, Richard J. Boys
Stochastic process models are now commonly used to analyse complex biological, ecological and industrial systems. Increasingly there is a need to deliver accurate estimates of mode…
Correlated pseudo-marginal schemes for time-discretised stochastic kinetic models
Andrew Golightly, Emma Bradley, Tom Lowe +1
The challenging problem of conducting fully Bayesian inference for the reaction rate constants governing stochastic kinetic models (SKMs) is considered. Given the challenges underl…
Estimating the number of casualties in the American Indian war: a Bayesian analysis using the power law distribution
Colin S Gillespie
The American Indian war lasted over one hundred years, and is a major event in the history of North America. As expected, since the war commenced in late eighteenth century, casual…