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Network communication algorithms development is presented in the paper, with the purpose to implement bio-inspired hardware systems which exhibit the abilities of living organisms, such as: evolution capabilities, self-healing and fault-tolerance. In the first steps of these research efforts an embryonic system with bi-dimensional FPGA-based artificial cell network is designed and tested through careful computer-aided simulations. Two specially developed algorithms were implemented in the network communication strategy, in order to avoid physical faults and errors in the laboratory experimented VLSI hardware architecture. The basic challenge of all these experiments is to develop embryonic systems with fault-tolerant and self-healing properties, as main hardware structures in a large scale high security process control and industrial applications.