4 papers
Stochastic Multistability of Clonallike States in the Eigen Model: a Fidelity Catastrophe
Emanuele Crosato, Richard E. Spinney, Richard G. Morris
The Eigen model is a prototypical toy model of evolution that is synonymous with the so-called error catastrophe: when mutation rates are sufficiently high, the genetic variant wit…
Stochastically bistable growth and decay in the Togashi-Kaneko model
Jeremy R. Worsfold, Richard G. Morris
The two-state Togashi-Kaneko model demonstrates how, at finite system sizes, autocatalysis can lead to noise-induced bistability between the cellular concentrations of different mo…
Non-Stationary Critical Phenomena: Expanding The Critical Point
Richard E. Spinney, Richard G. Morris
A prototypical model of symmetry-broken active matter -- biased quorum-sensing active particles (bQSAPs) -- is used to extend notions of dynamic critical phenomena to the paradigma…
A Dean-Kawasaki equation for reaction diffusion systems driven by Poisson noise
Richard E. Spinney, Richard G. Morris
We derive a stochastic partial differential equation that describes the fluctuating behaviour of reaction-diffusion systems of N particles, undergoing Markovian, unary reactions. T…