Multidimensional Lindenmayer organisms
Most cellular organisms in the real world are not one-dimensional. How can we model the global development of such organisms by rules that are local to each cell? It is not unreasonable to suppose that the development of an individual cell depends on the cell state and the cell context, the state and position of the neighbours of the cell. In this paper we present models in which this cell information and the attendant local developmental rules can be represented discretely. The precise mathematical description of the models is left to an appendix.