ABSTRACT
A theory of morphogenesis must be applicable to biological morphogenesis, the authors was led to develop the qualitative dynamics presented through reading works on embryology, and their aim was to give mathematical sense to the concepts of the morphogenetic field of embryologists and the chreod of Waddington. The situation is altogether different for plants, where the author can speak of homeomorphism only between organs taken in isolation, such as leaves, stems, or roots, whereas, in principle, no global isomorphism exists between organisms. From the point of view the fundamental problem of biology is a topological one, for topology is precisely the mathematical discipline dealing with the passage from the local to the global. In many of these cases, these molecular mechanisms arose because they provided the best local simulations of the global biochemical catastrophes that gave birth to them.
