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Anastomosing Transportation Networks

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

Anastomosing network describes a blundering, irregular network composed of branches and divergent and convergent knots. Anastomosing river system is an example of such network in nature. We present concepts of numerical models of anastomosing river basing on cellular automata paradigm. Our first model is an extension of previously developed model of water flow, about the elements connected with phenomena characteristic for anastomosing river. Due to its limitations the another have been introduced, in which we enhance the utilization of cellular automata paradigm by defining a new structure: graph of cellular automata. We present the results obtained by using the both models.

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References

  1. R. Gradziński et al., Anastomosing System of the Upper Narew River, NE Poland, Annales Societatis Geologorum Poloniae, 70:219–229, 2000.

    Google Scholar 

  2. P.S. Dodds and D.H. Rothman, Scaling, universality and geomorphology, Annu. Rev. Earth Planet Sci., 2000.

    Google Scholar 

  3. J.R. Banavar and A. Maritan and A. Rinaldo, Size and form in efficient transportation networks, Nature, 399:130–132, 1999.

    Article  Google Scholar 

  4. S.S. Manna, Branched tree structures: from polymers to river networks, Physica A, 254:190–197, 1998.

    Article  Google Scholar 

  5. I. Rodríguez-Iturbe and A. Rinaldo, Fractal River Basins. Chance and Self-Organization, Cambridge University Press, 1997.

    Google Scholar 

  6. P.S. Dodds and D.H. Rothman, Geometry of River Networks I, II, III,Phys. Rev. E, 2001.

    Google Scholar 

  7. B. Chopard and M. Droz, Cellular Automata Modelling of Physical Systems, Cambridge University Press, 1998.

    Google Scholar 

  8. G. Spezzano and D. Talia, Programming cellular automata algorithms on parallel computers, Future Generations Computer Systems, 16(2–3):203–216, 1999.

    Article  Google Scholar 

  9. G.D. Yancopoulos et al., Vascular-specific growth factors and blood vessel formation, Nature, 407:242–248, 2000.

    Article  Google Scholar 

  10. P. Topa, River flows modelled by cellular automata, Proceedings of The First Worldwide SGI User’s Conference, Cracow, Poland, October 2000.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Topa, P., Paszkowski, M. (2002). Anastomosing Transportation Networks. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_101

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  • DOI: https://doi.org/10.1007/3-540-48086-2_101

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

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