23 citations · 61 across the 6 of their papers we have counts for
6 papers
Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise
David Hochberg, Felipe Lesmes, Federico Moran +1
The non-equilibrium dynamic fluctuations of a stochastic version of the Gray-Scott (GS) model are studied analytically in leading order in perturbation theory by means of the dynam…
Consequences of imperfect mixing in the Gray-Scott model
M. -P. Zorzano, D. Hochberg, F. Moran
We study an autocatalytic reaction-diffusion scheme, the Gray-Scott model, when the mixing processes do not homogenize the reactants. Starting from the master equation, we derive t…
Complex noise in diffusion-limited reactions of replicating and competing species
David Hochberg, M. -P. Zorzano, Federico Moran
We derive exact Langevin-type equations governing quasispecies dynamics. The inherent multiplicative noise has both real and imaginary parts. The numerical simulation of the underl…
Complex reaction noise in molecular quasispecies model
David Hochberg, Maria-Paz Zorzano, Federico Moran
We have derived exact Langevin equations for a model of quasispecies dynamics. The inherent multiplicative reaction noise is complex and its statistical properties are specified co…
Spatio-temporal patterns driven by autocatalytic internal reaction noise
D. Hochberg, M. -P. Zorzano, F. Moran
The influence that intrinsic local density fluctuations can have on solutions of mean-field reaction-diffusion models is investigated numerically by means of the spatial patterns a…
Dynamic Renormalization Group and Noise Induced Transitions in a Reaction Diffusion Model
M. -P. Zorzano, D. Hochberg, F. Moran
We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray-Scott (GS) reaction diffusion system by performing numerical simulat…