By analogy with a problem on the kinetics of the last stages of solid supersaturated solution decay, considered in Ref. 1, the problem on the kinetics of cell population development in the nutrient solution is formulated. The state of the system is described by the cell size distribution function and the concentration of nutrient in the solution. The stability of spatially homogeneous cell distribution is analyzed. Bifurcation, connected with the origin of nonhomogeneous spatial distribution of cells and nutrient, is discovered. Dissipative structures arising near the point of first bifurcation are found