  The process of morphogenesis, which can be defined as an evolution of the
form of an organism, is one of the most intriguing mysteries in the life
sciences. It is clear, that gene expression patterns cannot explain the
development of the precise geometry of an organism and its parts in space.
Here, we suggest a set of postulates and possible approaches for discovering
the correspondence between molecular biological information and its realization
in a given geometry of an organism in space-time. First, we suggest that the
geometry of the organism and its parts is coded by a molecular code located on
the cell surfaces in such a way that, with each cell, there can be associated a
corresponding matrix, containing this code. As a particular model, we propose
coding by several types of oligosaccharide residues of glycoconjugates. Second,
we provide a notion of cell event, and suggest a description of development as
a tree of cell events, where under cell event we understand the changing of
cell state, e.g. the processes of cell division, cell growth/death, shift or
differentiation. Next we suggest describing these cell motion laws using the
notion of a "morphogenetic field", meaning by the field an object in an "event
space" over a "cell space", which govern the transformation of the coded
biological information into an instructive signal for a cell event for a given
cell, depending on the position of a cell in the developing embryo. The matrix
on a cell surface will be changed after each cell event according to the
rule(s) dictated by the morphogenetic field of an organism. Finally, we provide
some ideas on the connection between morphogenetic code on a cell surface, cell
motion law(s) and the geometry of an embryo.
