[Problem of sphere formation in mathematical models of morphogenesis]

The model of a process of morphogenesis is described, being a new link in the series of mathematical models of morphogenesis based on the local interactions of cells (see [6]) and the first space model of the series. A corresponding mathematical problem is formulated. The results of the proper computer calculations are published, showing that the chosen rule of motion solves the problem of sphere formation for a very large class of initial states of all investigated types of nets. The processes taking place in solving the problem of sphere formation are considered.