[Instability and stability in biological morphogenesis]

The concept of morphogenesis is determined and the mathematical image of the developing system is considered. A certain amount of stable and unstable states and slow changes of the potential relief (parameters) are inherent in the latter. The developing systems are intermediate between the deterministic and statistic ones. They are distinctly multiple-levelled. The microprocesses of morphogenesis and the laws of macromorphogenesis are described, the instabilities and stable periods of morphogenesis are considered. All of them in the multiple-leveled system tend to the formation of through hierarchies, or cascades, where the upper levels parametrize the lower ones. This tendency increases as the evolutionary progress proceeds. The genetic regulation is considered also as a parametric regulation in the domains of instabilities. The approach contemplated may be considered both as the generalization of the available data and as the programme of investigation, more adequate to the biological reality than the causal-analytical methodology.