Abstract: In a chemical mimetic system in vitro, the formation process of gallstone with ring-like structures were extensively investigated. It was observed that ring-like structures were formed and the patterns with characteristics of self-organization were also produced in the mimetic system. Both of the precipitates and fractals formed in the mimetic system were arranged in a regular ring-like way. The experimental results also showed that there are strong interactions and cooperation behavior between cations. So we speculated that all of these structures might follow a “Concentric Rule” when ring-like patterns were formed. The “Concentric Rule” is that: In an open system, which can exchange energy and materials with environment, there will be order structures automatically and all the ring-like structures will share the same center of circle and all patterns will grow around this center although each ring-like structure has its own radius. The growth region of each ring-like pattern will be controlled by their own radius. According to this rule, we can explain and understand almost all the phenomena occured in our experiments.

Key words: Gallstone, Dissipate structure, Periodic character, Fractal