Two-dimensional model of a reaction-diffusion system as a typewriter - art. no. 056202

Pattern formation is a common phenomenon, which appears in biological syste ms, especially in cell differentiation processes, The proper level for unde rstanding the creation of patterns seems to be a physicochemical descriptio n. The most fundamental models should be based on systems, in which only ch emical reactions and diffusion transport occur (reaction-diffusion systems) , In order to present a richness of patterns, we show here the asymptotic p atterns in the form of capital letters obtained in two-dimensional reaction -diffusion systems with zero-flux boundary conditions, All capital letters are obtained in the same model, but initial conditions and sizes of the sys tems are different for each letter. The chemical model consists of elementa ry reactions and is realistic. It can be realized experimentally in continu ous-flow unstirred reactor with an enzymatic reaction allosterically inhibi ted by an excess of its reactant and product.