159 citations · 434 across the 9 of their papers we have counts for
9 papers
Fluctuating hydrodynamics approximation of the stochastic Cowan-Wilson model
Clement Zankoc, Tommaso Biancalani, Duccio Fanelli +1
We consider a stochastic version of the Wilson-Cowan model which accommodates for discrete populations of excitatory and inhibitory neurons. The model assumes a finite carrying cap…
The statistics of fixation times for systems with recruitment
Tommaso Biancalani, Louise Dyson, Alan J. McKane
We investigate the statistics of the time taken for a system driven by recruitment to reach fixation. Our model describes a series of experiments where a population is confronted w…
Noise-Induced Bistable States and Their Mean Switching Time in Foraging Colonies
Tommaso Biancalani, Louise Dyson, Alan J. McKane
We investigate a type of bistability where noise not only causes transitions between stable states, but also constructs the states themselves. We focus on the experimentally well-s…
The linear noise approximation for reaction-diffusion systems on networks
Malbor Asllani, Tommaso Biancalani, Duccio Fanelli +1
Stochastic reaction-diffusion models can be analytically studied on complex networks using the linear noise approximation. This is illustrated through the use of a specific stochas…
Stochastic pattern formation and spontaneous polarisation: the linear noise approximation and beyond
Alan J. McKane, Tommaso Biancalani, Tim Rogers
We review the mathematical formalism underlying the modelling of stochasticity in biological systems. Beginning with a description of the system in terms of its basic constituents,…
Diffusion of two molecular species in a crowded environment: theory and experiments
D. Fanelli, A. J. McKane, G. Pompili +3
Diffusion of a two component fluid is studied in the framework of differential equations, but where these equations are systematically derived from a well-defined microscopic model…
Noise-induced metastability in biochemical networks
Tommaso Biancalani, Tim Rogers, Alan J. McKane
Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we…
Stochastic waves in a Brusselator model with nonlocal interaction
Tommaso Biancalani, Tobias Galla, Alan J. McKane
We show that intrinsic noise can induce spatio-temporal phenomena such as Turing patterns and travelling waves in a Brusselator model with nonlocal interaction terms. In order to p…
Stochastic Turing patterns in the Brusselator model
Tommaso Biancalani, Duccio Fanelli, Francesca Di Patti
A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing pat…