Abstract
The theoretical concept of a cell division tensor has some appeal; yet, the actual formulation of such a tensor remains a challenge. It is nonetheless possible, without invoking a cell division tensor, to use the physical components of the growth tensor, along with natural curvilinear coordinate systems, to calculate the theoretical distribution of cell division rates within apical meristems of plant shoots. The patterns of dimensional changes of cells, the distribution of growth rates specified by the growth tensor, and the indicated rates of cell division are described for meristems characterized by steady state fields of cell flux velocities and of mean cell dimensions. These relations are evaluated by means of continuity equations for the fluxes of mean cell dimensions. These methods allow calculation of the relative rates of cell division at specified sites, and within specified orientation classes, as well as of division rates irrespective of orientation.
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