The Ideal Storage Cellular Automaton Model

We have implemented and investigated a spatial extension of the original ideal storage model by embedding it in a 2D cellular automaton with a diffusion-like coupling between neighboring cells. The resulting ideal storage cellular automaton model (ISCAM) generates many interesting spatio-temporal patterns, in particular spiral waves that grow and “compete” with each other. We study this dynamical behavior both mathematically and computationally, and compare it with similar patterns observed in actual chemical processes. Remarkably, it turned out that one can use such CA for modeling all sorts of complex processes, from phase transition in binary mixtures to using them as a metaphor for cancer onset caused by only one short pulse of ’tissue dis-organzation’ (changing e.g. for only one single time step the diffusion coefficient) as hypothesized in recent papers questioning the current gene/genome centric view on cancer onset by AO Ping et al.