Organogenesis at the shoot apex: An attempt at modelization

A geometrical model of the emergence of a primordium at the shoot apex in dicotyledons is proposed. It is based on recent fundamental results on plant morphogenesis, i.e.:

1. the emergence is preceded by the reorganization of the microtubules of the cortical cytoskeleton, leading to a new orientation of the synthesis of the cell wall microfibrils;
2. the resulting global stress is related to the general orientation of the cell growth.

So the model sums up the continuous interactions linking the microtubules, the microfibrils and the cell growth axis. This paper tries to answer three questions which are essential from a botanical point of view:

1. Why does the principal stem shift its growth direction after each lateral emergence?
2. Why do the three axes involved in any ramification (namely the old and the new principal stems and the lateral emergence) exhibit a plane configuration whereas this is an essentially three dimensional phenomenon?
3. Does phyllotaxis exclusively depend upon the local emergence of a primordium?

A come and go between the botanical knowledge and the mathematical model leads to an integrated view of the compatibility mechanisms linking the different microtubules and microfibrils networks, without forgetting the apical dome restoration. A geometrical formalism allows a modern redefinition of both the “generating centre” and the “organizing centre” and their field effects.