Diffusion-dynamics laws in stochastic reaction networks

Log-domain implementation of complex dynamics reaction-diffusion neural networks

We have identified a second-order reaction-diffusion differential equation able to reproduce through parameter setting different complex spatio-temporal behaviors. We have designed a log-domain hardware that implements the spatially discretized version of the selected reaction-diffusion equation. The logarithmic compression of the state variables allows several decades of variation of these sta...

Stochastic Simulation of Coupled Reaction–Diffusion Processes

actants is used to compute the time evolution of reactant concentrations. The stochastic algorithm is rigorous in the The stochastic time evolution method has been used previously to study non-linear chemical reaction processes in well-stirred hosense that it provides an exact solution to the correspondmogeneous systems. We present the first treatment of diffusion, in ing master equation for ch...

Stochastic Simulation of Reaction-Diffusion Systems

Stochastic Simulation of Reaction-Diffusion Systems

Reactiondiffusion systems are mathematical models that describe how the concentration of one or more substances distributed in space changes under the influence of local chemical reactions in which the substances are converted into each other, and diffusion which causes the substances to spread out in space. The classical representation of a reaction-diffusion system is given by semi-linear par...

Stochastic reaction-diffusion simulation with MesoRD

UNLABELLED MesoRD is a tool for stochastic simulation of chemical reactions and diffusion. In particular, it is an implementation of the next subvolume method, which is an exact method to simulate the Markov process corresponding to the reaction-diffusion master equation. AVAILABILITY MesoRD is free software, written in C++ and licensed under the GNU general public license (GPL). MesoRD runs ...