×

Growing cellular systems: Generation of graphs by parallel rewriting. (English) Zbl 0392.92007

MSC:

92B05 General biology and biomathematics
92D10 Genetics and epigenetics
05C99 Graph theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Burks A. W., Essays on Cellular Automata (1968) · Zbl 0228.94013
[2] A. R. Smith , III , ” Introduction to and survey or po-lyautomata theory .” In Ref. 35 , 1976 , pp. 405 – 422 .
[3] Arbib M. A., Foundations of Mathematical Biology 2 pp 141– (1972)
[4] A. Rosenfeld , ” Array and web grammars An overview .” In Ref. 35 . 1976 , pp. 517 – 529 .
[5] Mayoh B. H., L Systems 15 pp 302– (1974)
[6] B. H. Mayoh , ” Another model for the development of multidimensional organisms .” In Ref. 35 , 1976 . pp. 469 – 485 .
[7] DOI: 10.1109/SWAT.1974.3 · doi:10.1109/SWAT.1974.3
[8] DOI: 10.1080/03081077608934737 · Zbl 0332.68054 · doi:10.1080/03081077608934737
[9] Nagl M., Arbeitsberichtt Inst, fur math. Masehinen und Datenvtrarbeitung 8 pp 16– (1975)
[10] M. Nagl , ” On a generalization of Lindenmayer-systems to labelled graphs .” In Ref. 35 , 1976 , pp. 487 – 508 .
[11] Nagl M., Mathematical Models in Medicine 11 pp 135– (1976) · Zbl 0334.92011
[12] H. Ehrig , and H. J. Kreowski , ” Parallel graph grammars .” In Ref. 35 . 1976 . pp. 425 – 442 .
[13] H. Ehrig , and G. Rozenberg , ” Some definitional suggestions for parallel graph grammars .” In Ref. 35 , 1976 , pp. 443 – 468 .
[14] Reusch P. J. A., Informotik Berichte 10 pp 205– (1976)
[15] Weckmann K. D., Informatik Berichte 11 pp 66– (1976)
[16] Nagl M., ArbeitsberUhle Inst, für math. Maschinen und Daienverarbeitung 9 pp 3– (1976)
[17] DOI: 10.1016/0022-5193(68)90079-9 · doi:10.1016/0022-5193(68)90079-9
[18] DOI: 10.1016/0022-5193(71)90002-6 · doi:10.1016/0022-5193(71)90002-6
[19] DOI: 10.1016/S0022-5193(75)80051-8 · doi:10.1016/S0022-5193(75)80051-8
[20] Herman G. T., Developmental Systems and Languages (1975) · Zbl 0306.68045
[21] DOI: 10.1007/BF01780579 · Zbl 0313.68068 · doi:10.1007/BF01780579
[22] DOI: 10.1007/BF00289079 · Zbl 0304.68076 · doi:10.1007/BF00289079
[23] DOI: 10.1016/S0022-5193(75)80052-X · doi:10.1016/S0022-5193(75)80052-X
[24] A. Lindenmayer , ” Developmental systems and languages in their biological context .” In Ref. 20 , 1975 . pp. 1 – 40 .
[25] DOI: 10.1016/0020-7101(72)90014-1 · doi:10.1016/0020-7101(72)90014-1
[26] J. Lück , ” Complémentarite apico-basale dans 1’organisation des tissus vegetans .” Thése docteur és sciences. Univ. Aix-Marseille III, June 1977 .
[27] D. Frijters , ” Control mechanisms and computer descriptions of inflorescence development .” Proefschrift doctor wiskunde en nat. wet., Rijksuniv, Utrecht, May 1976 .
[28] DOI: 10.1007/BF00365589 · Zbl 0343.92008 · doi:10.1007/BF00365589
[29] C. P. Raven , and J. J. Bezem , ” Analysis of pattern formation in gastropods by means of computer simulation .” In; Ref, 35 , 1976 , pp. 139 – 145 .
[30] J. J. Bezem , C. P. Raven , ” Some algorithms used in the simulation of embryonic development .” In; Ref. 35 , 1976 , pp. 147 – 158 .
[31] D. A. Ede , and O. K. Wilby , ” Analysis of cellular activities in the developing limb bud system .” In Ref. 35 , 1976 , pp. 15 – 24 ,
[32] O. K. Wilby , D.A. Ede , ” Computer simulation of vertebrate limb development–the effect of cell division control patterns .” In Ref. 35 , 1976 , pp. 25 – 37 .
[33] DOI: 10.1016/0022-5193(77)90177-1 · doi:10.1016/0022-5193(77)90177-1
[34] D. Frijters , and A. Lindcnmayer , ” Developmental descriptions of branching patterns with paracladial relationships .” In Ref. 35 . 1976 , pp. 57 – 73 .
[35] Lindcnmayer A., Automata, Languages, Development (1976)
[36] K. Culik , II and D. Wood , ” A mathematical investigation of parallel graph OL systems .” Research Report CS-78-36 , Faculty of Mathematics, Univ. of Waterloo , Aug. 1978 . For Dr. Limlenmayers biography ami photograph, please see Volume 2. No. 4, p. 190 of this journal far Dr. Ctilik’s biography and photograph, please, see Volume 3, No. I. p. 66 of this journal .
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.