Two fine-grained models of artificial biological cells are presented. They can be used as elements of computing devices that mimic properties of living organisms: growth, self-reproduction, and self-healing. The models are based on the parallel substitution algorithm that is a spatial model for representing fine-grained parallel algorithms and architectures. An artificial biological cell is constructed based on a genome fed to the input tape. The result is a model of artificial biological cell that contains the phenotype as a set of fixed data and the genotype as a set of mobile data.