Numerical simulation on pattern formation by vascular mesenchymal cells based on the exogenous source of activator

This paper mainly explores the Turing patterns and pattern transferring of the vascular mesenchymal cells by external addition of activator. First, we perform a one-dimensional analysis to obtain the Turing space of the exogenous source of activator, and then explore the various Turing patterns with varying the ratio of the diffusion coefficients of activator and inhibitor, because of the essence of Turing bifurcation. Simulation results show that the Turing patterns range from spots to stripes, next labyrinths and finally holes with increasing the ratio or the dosage of the exogenous source of activator, or in other words, from dense to sparse. Furthermore, we explore the patterns transferring in the bistability system, and obtain the secondary patterns of the diverse patterns by altering the external addition of activator and various secondary patterns can be transferred from an initial pattern.