Skip to main content

Modeling Plant Development with M Systems

  • Conference paper
  • First Online:
Membrane Computing (CMC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11399))

Included in the following conference series:

Abstract

Morphogenetic systems (M systems) have been recently introduced as a computational model aiming at a deeper understanding of morphogenetic phenomena such as growth, self-reproduction, homeostasis and self-healing of evolving systems. M systems hybridize principles common in membrane computing and abstract self-assembly. The model unfolds in a 3D (or generally, dD) space, growing structures that are self-assembled from generalized tiles using shape and location sensitive local rules. The environment provides mutually reacting atomic particles that contribute to growth control. Initial studies of M systems demonstrated their computational universality and efficiency, as well as their robustness to injuries through their self-healing capabilities. Here, we make a systematic comparison of their generativity power with Lindenmayer systems, the best known model of pattern and shape assembly.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Cardelli, L., Gardner, P.: Processes in space. In: Ferreira, F., Löwe, B., Mayordomo, E., Mendes Gomes, L. (eds.) CiE 2010. LNCS, vol. 6158, pp. 78–87. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-13962-8_9

    Chapter  MATH  Google Scholar 

  2. Krasnogor, N., Gustafson, S., Pelta, D., Verdegay, J.: Systems Self-Assembly: Multidisciplinary Snapshots. Studies in Multidisciplinarity. Elsevier Science, Amsterdam (2011)

    Google Scholar 

  3. Lindenmayer, A., Prusinkiewicz, P., et al.: The Algorithmic Beauty of Plants. Springer, New York (1991). https://doi.org/10.1007/978-1-4613-8476-2

    Book  MATH  Google Scholar 

  4. Mech, R., Prusinkiewicz, P.: Visual models of plants interacting with their environment. In: Blau, B., et al. (eds.) Proceedings of SIGGRAPH 1996, Computer Graphics Proceedings, Annual Conference Series, pp. 397–410. ACM (1996)

    Google Scholar 

  5. von Neumann, J.: Probabilistic logics and the synthesis of reliable organisms from unreliable components. Ann. Math. Stud. 34, 43–98 (1956)

    MathSciNet  Google Scholar 

  6. Păun, A., Popa, B.: P systems with proteins on membranes. Fundam. Inform. 72(4), 467–483 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Păun, G., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford University Press, Oxford (2010)

    MATH  Google Scholar 

  8. Sosík, P., Smolka, V., Drastík, J., Bradík, J., Garzon, M.: On the robust power of morphogenetic systems for time bounded computation. In: Gheorghe, M., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) CMC 2017. LNCS, vol. 10725, pp. 270–292. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-73359-3_18

    Chapter  Google Scholar 

  9. Sosík, P., Smolka, V., Drastík, J., Moore, T., Garzon, M.: Morphogenetic and homeostatic self-assembled systems. In: Patitz, M.J., Stannett, M. (eds.) UCNC 2017. LNCS, vol. 10240, pp. 144–159. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-58187-3_11

    Chapter  MATH  Google Scholar 

  10. Tomita, M.: Whole-cell simulation: a grand challenge of the 21st century. Trends Biotechnol. 19(6), 205–210 (2001)

    Article  Google Scholar 

  11. Turing, A.: The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B 237, 7–72 (1950)

    Google Scholar 

  12. Winfree, E.: Self-healing tile sets. In: Chen, J., Jonoska, N., Rozenberg, G. (eds.) Nanotechnology: Science and Computation. Natural Computing Series, pp. 55–78. Springer, Heidelberg (2006). https://doi.org/10.1007/3-540-30296-4_4

    Chapter  Google Scholar 

  13. Ziegler, G.: Lectures on Polytopes. Graduate Texts in Mathematics. Springer, New York (1995)

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by The Ministry of Education, Youth and Sports Of the Czech Republic from the National Programme of Sustainability (NPU II) project IT4Innovations Excellence in Science - LQ1602, and by the Silesian University in Opava under the Student Funding Scheme, project SGS/13/2016.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Petr Sosík .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sosík, P., Smolka, V., Bradík, J., Garzon, M. (2019). Modeling Plant Development with M Systems. In: Hinze, T., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2018. Lecture Notes in Computer Science(), vol 11399. Springer, Cham. https://doi.org/10.1007/978-3-030-12797-8_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-12797-8_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12796-1

  • Online ISBN: 978-3-030-12797-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics