de Boer, Martin J. M.; Fracchia, F. David; Prusinkiewicz, Przemyslaw A model for cellular development in morphogenetic fields. (English) Zbl 0769.68127 Lindenmayer systems. Impacts on theoretical computer science, computer graphics, and developmental biology, 351-370 (1992). Summary: [For the entire collection see Zbl 0755.00005.]This paper introduces cell systems as a new framework for the simulation of pattern and shape formation in two-dimensional cellular structures. Cell systems describe development in terms of lineage rules, with the orientations of division walls specified relative to a directional morphogenetic field. The shapes of cells result from mechanical cell interactions due to osmotic pressure and well tension. Cell systems offer a highly intuitive method for describing the development of cellular structures, and capture their natural variability in a straightforward way. The concept is illustrated using abstract patterns and a developmental model of a fern gametophyte. Cited in 4 Documents MSC: 68U20 Simulation (MSC2010) 92C15 Developmental biology, pattern formation Keywords:map \(L\)-system; cell division pattern; cell systems; simulation of pattern and shape formation in two-dimensional cellular structures; directional morphogenetic field; osmotic pressure; well tension; development of cellular structures; developmental model; fern gametophyte Citations:Zbl 0755.00005 PDFBibTeX XMLCite \textit{M. J. M. de Boer} et al., in: Lindenmayer systems. Impacts on theoretical computer science, computer graphics, and developmental biology. Berlin etc.: Springer-Verlag. 351--370 (1992; Zbl 0769.68127)