Cellular Automata as Models of Complexity Articles Cellular Automata Cellular Automata as Models of Complexity Applications Current mathematical models of natural systems are usually based on differential equations which describe the smooth variation of one parameter as a function of a few others. Models based on cellular automata are typically most appropriate in highly nonlinear regimes of physical systems, and in chemical and biological systems where discrete thresholds occur.
Cellular automata are particularly suitable as models when growth inhibition effects are important.
The examples shown illustrate the four classes of behaviour found. Information on changes in the initial state almost always propagates only a finite distance in the first two classes, but may propagate an arbitrary distance in the third and fourth classes. Turbulent fluids may also potentially be modelled as cellular automata with local interactions between discrete vortices on lattice sites. Phase transitions may occur if retains some deterministic components, or in more than one dimension. Cellular automata may serve as suitable models for a wide variety of biological systems.