Abstract
The development of the cellular pattern of plant meristems is simulated under rules specifying a constant positioning of division walls with respect to the previously introduced wall. The network, or cellwork, of the cell walls is, in analogy to real walls, represented by double-wall labeling.
The polyhedral boundary of a cell, when opened on the last division wall, becomes representable by a wall-map which procures the topological relationship of the walls viewed from within the cell. Cell divisions are defined as bipartitions of wall-maps. In addition, the edges introduced for the insertion of a new division wall induce by contact wall divisions in neighbour cells, increasing the number of their walls.
The double-wall cellwork system with wall labels consists of an alphabet of wall maps, subsets of map division rules representing cell divisions, and subsets of map transformation rules. The axiom is given by at least one wall-map. A cellwork derivation is obtained by rewriting in parallel all wall-maps describing the cells in a cellwork.
3D-systems are proposed as a tool to investigate the construction and behaviour of apices of ferns and mosses. Different developmental pathways may be traced back to differently oriented division walls. The simplest theoretical meristem, which functions by the helicoidal division of a tetrahedral apical cell, gives rise to a shoot composed of 3 rows of cells. If the derivative cell divides once again, it results 6 cell files.
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Lück, J., Lück, H.B. (1991). Double-wall cellwork systems for plant meristems. In: Ehrig, H., Kreowski, HJ., Rozenberg, G. (eds) Graph Grammars and Their Application to Computer Science. Graph Grammars 1990. Lecture Notes in Computer Science, vol 532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017413
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DOI: https://doi.org/10.1007/BFb0017413
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