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Dynamically Reorganising Vascular Networks Modelled Using Cellular Automata Approach

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Cellular Automata (ACRI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5191))

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Abstract

We present the model of tumour induced angiogenesis that apart from predominating phenomena, as influence of VEGF, includes newly discovered factors such as Dll4/Notch signalling and remodelling processes. The Cellular Automata approach is employed to model cellular and intracellular processes that occur in cancer tissue and surroundings. Vascular system is modelled by using the Graph of Cellular Automata, which combines graph theory with the Cellular Automata paradigm. Additionally, an outline of model verification method which uses graph descriptors is presented and exemplified.

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References

  1. Carmeliet, P., Jain, R.K.: Nature, 407 (2000)

    Google Scholar 

  2. Mantzaris, N.V., Webb, S., Othmer, H.G.: J. Math. Biol. (2004)

    Google Scholar 

  3. Ferrara, N., Kerbel, R.S.: Nature, 438 (2005)

    Google Scholar 

  4. Tonini, T., Rossi, F., Claudio, P.P.: 22 (2003)

    Google Scholar 

  5. Gee, M.S., et al.: American J. of Patbiology, 162 (2003)

    Google Scholar 

  6. Anderson, A.R.A., Chaplain, M.A.J.: Bull. of Math. Biol. 60 (1998)

    Google Scholar 

  7. Topa, P., Dzwinel, W., Yuen, D.: Int. J. Mod. Phys. C.  17 (2006)

    Google Scholar 

  8. Topa, P.: In: El Yacoubi, S., Chopard, B., Bandini, S. (eds.) ACRI 2006. LNCS, vol. 4173, Springer, Heidelberg (2006)

    Google Scholar 

  9. Hellstrom, M., et al.: Nature, 445 (2007)

    Google Scholar 

  10. Dzwinel, W., Błasiak, J.: Future Generation Computer Systems, 15 (1999)

    Google Scholar 

  11. Goryczka, S., Arodź, T.: Bio-algorithms and med-systems 2 (2006)

    Google Scholar 

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Authors and Affiliations

  1. AGH University of Science and Technology, al. Mickiewicza 30, 30-059, Kraków, Poland

    Paweł Topa

Authors
  1. Paweł Topa
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Editor information

Hiroshi Umeo Shin Morishita Katsuhiro Nishinari Toshihiko Komatsuzaki Stefania Bandini

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© 2008 Springer-Verlag Berlin Heidelberg

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Topa, P. (2008). Dynamically Reorganising Vascular Networks Modelled Using Cellular Automata Approach. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_64

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  • DOI: https://doi.org/10.1007/978-3-540-79992-4_64

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79991-7

  • Online ISBN: 978-3-540-79992-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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