We develop an Artificial Cell System (ACS) based on an abstract chemical system. ACS consists of a multiset of symbols, a set of rewriting rules (reaction rules) and membranes. Throughout simulations, we find that chemical evolution like behavior emerges and cells evolve to a structure consisting of several cell-like membranes. We investigate the correlation among the type of reaction rules (rewriting rules), characteristic of a membrane and the evolution of cells, and then find the characteristics of a membrane effects on its evolution and obtains a parameter to describe the correlation. Furthermore, we introduce a genetic method to the system, and we attempt to apply it to Genetic Programming