A novel ergodic cellular automaton model of gene-protein network is presented. It shown that the presented can predict occurrences typical nonlinear phenomena a conventional ordinary differential equation model. In addition, theoretical analysis methods are proposed. Using methods, an important advantage revealed: better suited to compared regular (standard) automaton. Furthermore, implemented ...

This study will attempt to simulate particle movement during various events (asteroid impacts, explosions, collisions) using a Cellular Automaton model and examining the forces acting on the coordinate system itself, instead of each individual particle. By dividing space into a three-dimensional grid of cubes, all the particles contained in the same cube could be treated as a solid block of mat...

In existing Cellular Automaton (CA) model, the cellular width is not related to vehicular velocity. However, in real condition, at road’s toll station or intersection, the introduced fixed infrastructure or pedestrians moving into vehicle lane will result in the lane narrowing, so limit the passing speed of vehicle. According to this condition, this paper presents a deformed CA model, and makes...

We construct a one-dimensional uniquely ergodic cellular automaton which is not nilpotent. This automaton can perform asymptotically infinitely sparse computation, which nevertheless never disappears completely. The construction builds on the self-simulating automaton of Gács. We also prove related results of dynamical and computational nature, including the undecidability of unique ergodicity,...