Title
Delving Deeper into Homeostatic Dynamics of Reaction Diffusion Systems with a General Fluid Dynamics and Artificial Chemistry Model
Authors
Stuart Bartlett
Schedule
Date: Wednesday 6 Sept
Talk Time: TBA
Session: Artificial chemistries and models of cellular dynamics 1 10:30
Keywords
artificial chemistry, reaction diffusion, pattern formation, dissipative structure
Abstract
In this paper I present a general modelling framework for coupled fluid dynamics and chemistry problems, and apply it to the simulation of a series of complex, homeostatic reaction diffusion systems. The model can incorporate any number of chemical species and reactions. Those chemical species diffuse, react and are advected by fluid flows. I illustrate some characteristic results from the modelling of the Gray Scott reaction diffusion system with thermally resolved reactions. Extending my previous work on ecological dynamics of non-living structures, I demonstrate that thermal homeostasis of reaction diffusion spots can occur in systems without the use of the porous wall boundary condition that has traditionally been used for the Gray Scott system. I present an initial analysis of the parameter space of this system as well as detailing the mechanism behind the thermal homeostasis.
