TY - JOUR
T1 - Stochastic turing patterns on a network
AU - Asllani, Malbor
AU - Di Patti, Francesca
AU - Fanelli, Duccio
PY - 2012/10/12
Y1 - 2012/10/12
N2 - The process of stochastic Turing instability on a scale-free network is discussed for a specific case study: the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically and eventually traced back to the finite-size corrections stemming from the inherent graininess of the scrutinized medium.
AB - The process of stochastic Turing instability on a scale-free network is discussed for a specific case study: the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes outside the region of parameters classically deputed to the deterministic Turing instability. This phenomenon, as revealed by direct stochastic simulations, is explained analytically and eventually traced back to the finite-size corrections stemming from the inherent graininess of the scrutinized medium.
UR - http://www.scopus.com/inward/record.url?scp=84867522559&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.86.046105
DO - 10.1103/PhysRevE.86.046105
M3 - Article
AN - SCOPUS:84867522559
SN - 1539-3755
VL - 86
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 4
M1 - 046105
ER -