Developmental systems and languages

作者: A. Lindenmayer , G. Rozenberg

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摘要: Developmental systems were introduced (Lindenmayer, 1968, 1971) in order to model morphogenetic (pattern-generating) processes growing, multicellular, filamentous organisms. These originally conceived as linear arrays of interconnected finite automata, each automaton corresponding a living cell, with the possibility that new automata can be added array (cells divide) or deleted from die). Each cell is supposed have same state-transition and output functions. As required by biological considerations these functions must applied all cells simultaneously at time step. Thus one obtains infinite sequences once initial are specified. Simplified constructs defined (and used this paper) considering states outputs identical thus omitting Such developmental been called “Lindenmayer models” Herman, 1969, 1970) “L-systems” (Van Dalen, 1971).

参考文章(11)
G. Rozenberg, A. Lindenmayer, Developmental systems with locally catenative formulas Acta Informatica. ,vol. 2, pp. 214- 248 ,(1973) , 10.1007/BF00289079
D. Dalen, A note on some systems of lindenmayer Theory of Computing Systems \/ Mathematical Systems Theory. ,vol. 5, pp. 128- 140 ,(1971) , 10.1007/BF01702868
Gabor T. Herman, Closure properties of some families of languages associated with biological systems Information & Computation. ,vol. 24, pp. 101- 121 ,(1974) , 10.1016/S0019-9958(74)80051-3
L. Wolpert, Positional information and the spatial pattern of cellular differentiation Journal of Theoretical Biology. ,vol. 25, pp. 1- 47 ,(1969) , 10.1016/S0022-5193(69)80016-0
Horacio Feliciangeli, Gabor T. Herman, Algorithms for producing grammars from sample derivations: a common problem of formal language theory and developmental biology Journal of Computer and System Sciences. ,vol. 7, pp. 97- 118 ,(1973) , 10.1016/S0022-0000(73)80051-0
G.T. Herman, Role of environment in developmental models Journal of Theoretical Biology. ,vol. 29, pp. 329- 341 ,(1970) , 10.1016/0022-5193(70)90102-5
G. Rozenberg, P.G. Doucet, On 0L-Languages Information & Computation. ,vol. 19, pp. 302- 318 ,(1971) , 10.1016/S0019-9958(71)90164-1
P.G Doucet, On the membership question in some Lindenmayer-systems Indagationes Mathematicae (Proceedings). ,vol. 75, pp. 45- 52 ,(1972) , 10.1016/1385-7258(72)90027-3
Aristid Lindenmayer, Developmental systems without cellular interactions, their languages and grammars Journal of Theoretical Biology. ,vol. 30, pp. 455- 484 ,(1971) , 10.1016/0022-5193(71)90002-6