Two models of an artificial biological cell, built in a fine-grain structure, are presented. They can be elements of computing structures that mimic the properties of living organisms - growth, self-reproduction, self-healing. The models are built on the basis of the Parallel Substitution Algorithm, which is a spatial system for representing fine-grain parallel algorithms and architectures. An artificial biological cell is constructed from an artificial genome that is fed on the input tape. The model of an artificial biological cell contains the phenotype as a set of fixed data and the genotype as a set of mobile data. The phenotype is involved in performing a task that may be given an artificial biological organism; the genotype is able to produce daughter cells.