The characterization of model of capillary networks which focus on dynamical properties, fractal properties of patterns and percolative phase transition in biological systems was investigated. The large-scale behavior of system is regulated by initial random conditions and the fractal dimension at small angles is also related to dynamical process of migration and aggregation. The comparison of critical indices suggests that phase transition falls lies in universality class of random percolation. The results show that dynamical model is used to design vascularized artificial tissues by controlling vascularization process through appropriate signaling patterns.