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Graphical Modeling of Higher Plants Using P Systems

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Abstract

L systems have been widely used to model and graphically represent the growth of higher plants [20]. In this paper we continue developing the framework introduced in [21], which make use of the topology of membrane structures to model the morphology of branching structures.

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References

  1. Ardelean, I.I., Cavaliere, M.: Modelling Biological Processes by Using a Probabilistic P System Software. Natural Computing 2(2), 173–197 (2003)

    Article  MATH  Google Scholar 

  2. Chomsky, N.: Three Models for the Description of Language. IRE Trans. on Information Theory 2(3), 113–124 (1956)

    Article  Google Scholar 

  3. Frijters, D., Lindenmayer, A.: A Model for the Growth and Flowering of Aster Novae-Angliae on the Basis of Table (0,1)L systems. In: Rozenberg, G., Salomaa, A. (eds.) L Systems. LNCS, vol. 15, pp. 24–52. Springer, Heidelberg (1974)

    Google Scholar 

  4. Frijters, D., Lindenmayer, A.: Developmental Descriptions of Branching Patterns with Paracladial Relationships. In: Lindenmayer, A., Rozenberg, G. (eds.) Automata, Languages, Development, pp. 57–73. North–Holland, Amsterdam (1976)

    Google Scholar 

  5. Georgiou, A., Gheorghe, M.: Generative Devices Used in Graphics. In: Alhazov, A., Martín–Vide, C., Păun, G. (eds.) Preproceedings of the Workshop on Membrane Computing, Technical Report, vol. 28/03. Research Group on Mathematical Linguistics, Universitat Rovira i Virgili, Tarragona, pp. 266–272 (2003)

    Google Scholar 

  6. Georgiou, A., Gheorghe, M., Bernardini, F.: Membrane–Based Devices Used in Computer Graphics. In: Ciobanu, G., Păun, G., Pérez–Jiménez, M.J. (eds.) Applications of Membrane Computing, pp. 253–282. Springer, Berlin (2006)

    Google Scholar 

  7. Ito, M., Martín–Vide, C., Păun, G.: A Characterization of Parikh Sets of ET0L Languages in Terms of P Systems. In: Ito, M., Păun, G., Yu, S. (eds.) Words, Semigroups, and Transductions, pp. 239–254. World Scientific, Singapore (2001)

    Chapter  Google Scholar 

  8. von Koch, H.: Sur One Courbe Continue sans Tangente, Obtenue par une Construction Géometrique Élémentaire. Arkiv för Matematik 1, 681–704 (1904)

    Google Scholar 

  9. von Koch, H.: Une Méthode Géometrique Élémentaire pour L’étude de Certaines Questions de la Théorie des Courbes Planes. Acta Mathematica 30, 145–174 (1906)

    Article  MATH  MathSciNet  Google Scholar 

  10. Lindenmayer, A.: Mathematical Models for Cellular Interaction in Development, Parts I and II. Journal of Theoretical Biology 18, 280–315 (1968)

    Article  Google Scholar 

  11. Lindenmayer, A.: Developmental Systems without Cellular Interaction, Their Languages and Grammars. Journal of Theoretical Biology 30, 455–484 (1971)

    Article  Google Scholar 

  12. Mutyam, M., Krithivasan, K.: P Systems with Membrane Creation: Universality and Efficiency. In: Margenstern, M., Rogozhin, Y. (eds.) MCU 2001. LNCS, vol. 2055, pp. 276–287. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  13. Obtulowicz, A., Păun, G.: (In Search of) Probabilistic P Systems. Biosystems 70(2), 107–121 (2003)

    Article  Google Scholar 

  14. Papert, S.: Mindstorms: Children, Computers and Powerful Ideas. Basic Books (1980)

    Google Scholar 

  15. Păun, G.: Membrane Computing – An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  16. Pescini, D., Besozzi, D., Mauri, G., Zandron, C.: Dynamical Probabilistic P Systems. International Journal of Foundations of Computer Science 17(1), 183–204 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  17. Prusinkiewicz, P., Lindenmayer, A., Hanan, J.: Developmental Models of Herbaceous Plants for Computer Imagery Purposes. Computer Graphics 22(4), 141–150 (1988)

    Article  Google Scholar 

  18. Prusinkiewicz, P.: Graphical Applications of L systems. In: Proceedings of Graphical Interface 1986, pp. 247–253. Kaufmann, San Francisco (1986)

    Google Scholar 

  19. Prusinkiewicz, P., Hanan, J.: Lindenmayer Systems, Fractals and Plants. Lecture Notes on Biomathematics, vol. 79. Springer, Berlin (1989)

    MATH  Google Scholar 

  20. Prusinkiewicz, P., Lindenmayer, A.: The Algorithmic Beauty of Plants. Springer, Berlin (1990)

    MATH  Google Scholar 

  21. Romero–Jiménez, A., Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J.: The Growth of Branching Structures with P Systems. In: Graciani–Díaz, C., Păun, G., Romero–Jiménez, A., Sancho–Caparrini, F. (eds.) Proceedings of the Fourth Brainstorming Week on Membrane Computing, Fénix Editora, Sevilla, vol. II, pp. 253–265 (2006)

    Google Scholar 

  22. Salomaa, A.: Formal Languages. Academic Press, London (1973)

    MATH  Google Scholar 

  23. Smith, A.R.: Plants, Fractals and Formal Languages. Computer Graphics 18(3), 1–10 (1984)

    Article  Google Scholar 

  24. The P Systems webpage: http://psystems.disco.unimib.it/

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Romero-Jiménez, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J. (2006). Graphical Modeling of Higher Plants Using P Systems. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_31

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  • DOI: https://doi.org/10.1007/11963516_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69088-7

  • Online ISBN: 978-3-540-69090-0

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