Skip to main content

Chemical Organizations at Different Spatial Scales

  • Conference paper
Advances in Artificial Life (ECAL 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4648))

Included in the following conference series:

Abstract

The dynamics of spatial reaction systems that consists of many molecular species can be difficult to understand. Here we introduce a method that allows to observe the dynamics of a diverse spatial reaction system at different spatial scales. Using chemical organization theory we define for a given spatial location its so called spatial organization, which is the organization generated by the molecular species present in the neighborhood of this location. The scale determines the size of that neighborhood. We show that at one scale, patterns become visible that can not be seen at a different scale. Furthermore, different scales tend to map to different parts of the lattice of organizations; at small scales spatial organizations tend to be small (lower part of the lattice of organizations) while at large scales spatial organizations tend to be large (upper part of the lattice of organizations). Finally we show how the right scale can be selected by comparing the spatial reactor with its well-stirred counterpart. The method is illustrated using an artificial chemistry.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lehmann, R.: Determination of dominant pathways in chemical reaction systems: An algorithm and its application to stratospheric chemistry. J. Atmos. Chem. 41, 297–314 (2002)

    Article  Google Scholar 

  2. Puchalka, J., Kierzek, A.: Bridging the gap between stochastic and deterministic regimes in the kinetic simulations of the biochemical reaction networks. Biophys. J. 86(3), 1357–1372 (2004)

    Article  Google Scholar 

  3. Moreac, G., Blurock, E., Mauss, F.: Automatic generation of a detailed mechanism for the oxidation of n-decane. Combust. Sci. Technol. 178(10-11), 2025–2038 (2006)

    Article  Google Scholar 

  4. Dittrich, P., Speroni di Fenizio, P.: Chemical organization theory. Bull. Math. Biol. 69(4), 1199–1231 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Banzhaf, W.: Self-replicating sequences of binary numbers. Comput. Math. Appl. 26, 1–8 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  6. Speroni di Fenizio, P., Dittrich, P., Ziegler, J., Banzhaf, W.: Towards a theory of organizations. In: German Workshop on Artificial Life (GWAL 2000), Bayreuth, 5.-7. April, 2000 (in print)

    Google Scholar 

  7. Eigen, M., Schuster, P.: The hypercycle: a principle of natural self-organisation, part A. Naturwissenschaften 64(11), 541–565 (1977)

    Article  Google Scholar 

  8. Schuster, P., Sigmund, K.: Replicator dynamics. J. Theor. Biol. 100, 533–538 (1983)

    Article  MathSciNet  Google Scholar 

  9. Fontana, W., Buss, L.W.: ‘The arrival of the fittest’: Toward a theory of biological organization. Bull. Math. Biol. 56, 1–64 (1994)

    MATH  Google Scholar 

  10. Fontana, W.: Algorithmic chemistry. In: Langton, C.G., Taylor, C., Farmer, J.D., Rasmussen, S. (eds.) Proc. Artificial Life II, Redwood City, CA, pp. 159–210. Addison-Wesley, Reading (1992)

    Google Scholar 

  11. Lindgren, K., Eriksson, A., Eriksson, K.E.: Flows of information in spatially extended chemical dynamics. In: Pollack, J., Bedau, M., Husbands, P., Ikegami, T., Watson, R.A. (eds.) Proc. Artififical Life IX, pp. 456–460. MIT Press, Boston (2004)

    Google Scholar 

  12. Centler, F., Dittrich, P.: Chemical organizations in atmospheric photochemistries: a new method to analyze chemical reaction networks. Planet. Space Sci. 55(4), 413–428 (2007)

    Article  Google Scholar 

  13. Matsumaru, N., Centler, F., Speroni di Fenizio, P., Dittrich, P.: Chemical organization theory applied to virus dynamics. it - Information Technology 48(3), 154–160 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Fernando Almeida e Costa Luis Mateus Rocha Ernesto Costa Inman Harvey António Coutinho

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Speroni di Fenizio, P., Dittrich, P. (2007). Chemical Organizations at Different Spatial Scales. In: Almeida e Costa, F., Rocha, L.M., Costa, E., Harvey, I., Coutinho, A. (eds) Advances in Artificial Life. ECAL 2007. Lecture Notes in Computer Science(), vol 4648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74913-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74913-4_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74912-7

  • Online ISBN: 978-3-540-74913-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics