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Three-dimensional cellular automaton simulation of tumour growth in inhomogeneous oxygen environment

Author

Listed:
  • H. Hötzendorfer
  • W. Estelberger
  • F. Breitenecker
  • S. Wassertheurer

Abstract

Cellular automaton theory has previously been used to study cell growth. In this study, we present a three-dimensional cellular automaton model performing the growth simulation of normal and cancerous cells. The necessary nutrient supply is provided by an artificial arterial tree which is generated by constrained constructive optimization. Spatial oxygen diffusion is approximated again by a cellular automaton model. All results could be illustrated dynamically by three-dimensional volume visualization. Because of the chosen modelling approach, an extension of the model to simulate angiogenic processes is possible.

Suggested Citation

  • H. Hötzendorfer & W. Estelberger & F. Breitenecker & S. Wassertheurer, 2008. "Three-dimensional cellular automaton simulation of tumour growth in inhomogeneous oxygen environment," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 15(2), pages 177-189, December.
    • Handle: RePEc:taf:nmcmxx:v:15:y:2008:i:2:p:177-189
    DOI: 10.1080/13873950902724155
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