This thesis deals with cellular systems and their applications to self - replication data structures. The sector cellular automats is a very interesting and inspiring area which seems now as a very suitable environment for the simulation of various phenomen. One of these phenomen may be, for example, artificial life or self- replication the structure, which transmits some useful information or carry out the necessary calculations. In this thesis is detailed subscribe cellular automats and their division. It focuses on Langtons loop, Codds automata, Byls loop, Chou-Reggia loop, Tempesti loop, Perrier loop, SDSR loop, Evoloop and Sexyloop. Part of the work is to accelerate replication Byls loops through change to the rules of cellular automat and the addition of functionality to the ability to release space to the completion of replication loops. At thesis, I also dealt with the evolutionary design of the rules of cellular automata.