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The Graph of Cellular Automata Applied for Modelling Tumour Induced Angiogenesis

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Book cover Parallel Processing and Applied Mathematics (PPAM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8385))

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Abstract

Angiogenesis is the process of formation of vascular network. Blocking tumour induced angiogenesis is one of the treatments applied in oncology. Research involving computer simulations looking for the rules influencing the structure of vascular network and its functionality. This paper summarizes the applications of Graph of Cellular Automata modelling tool, developed by the Author, for modelling Tumour Induced Angiogenesis. Vascular network which is modelled by the graph interacts with surrounding tissue represented by the lattice of automata. The network is developed and reorganized accordingly to locally acting factors (stimulators and inhibitors). The model includes blood flow calculations in a modelled vascular network.

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Acknowledgements

This research is partially supported by AGH-University of Science and Technology grant No. 11.11.230.015.

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Authors and Affiliations

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

    Paweł Topa

Authors
  1. Paweł Topa
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Correspondence to Paweł Topa .

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Editors and Affiliations

  1. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Tennessee, Department of Computer Science, Knoxville, Tennessee, USA

    Jack Dongarra

  3. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

  4. Technical University of Denmark Informatics and Mathematical Modelling, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Topa, P. (2014). The Graph of Cellular Automata Applied for Modelling Tumour Induced Angiogenesis. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_67

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  • DOI: https://doi.org/10.1007/978-3-642-55195-6_67

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55194-9

  • Online ISBN: 978-3-642-55195-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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