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Journal of Applied Mathematics
Volume 2013, Article ID 519895, 10 pages
Research Article

A Hybrid Cellular Automata Model of Multicellular Tumour Spheroid Growth in Hypoxic Microenvironment

1School of Biological Science and Medical Engineering, Southeast University, Nanjing 210096, China
2School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China
3Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China

Received 19 November 2012; Accepted 22 January 2013

Academic Editor: Martin Weiser

Copyright © 2013 Yan Cai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Ma Al-Mamun, W. Srisukkham, C. Fall, R. Bass, A. Hossain, and D.M. Farid, “A cellular automaton model for hypoxia effects on tumour growth dynamics,” The 8th International Conference on Software, Knowledge, Information Management and Applications (SKIMA 2014), pp. 1–8, . View at Publisher · View at Google Scholar
  • Jie Wu, Yan Cai, Yi Fu, Zhujun Tan, Ren Sun, Shixiong Xu, Zurong Ding, and Cheng Dong, “3D numerical study of tumor blood perfusion and oxygen transport during vascular normalization,” Applied Mathematics And Mechanics-English Edition, vol. 36, no. 2, pp. 153–162, 2015. View at Publisher · View at Google Scholar
  • Yan Cai, Jie Zhang, Jie Wu, and Zhi-yong Li, “Oxygen Transport in a Three-Dimensional Microvascular Network Incorporated with Early Tumour Growth and Preexisting Vessel Cooption: Numerical Simulation Study,” BioMed Research International, vol. 2015, pp. 1–10, 2015. View at Publisher · View at Google Scholar
  • Anthony Jjumba, and Suzana Dragićević, “Towards a voxel-based geographic automata for the simulation of geospatial processes,” ISPRS Journal of Photogrammetry and Remote Sensing, 2016. View at Publisher · View at Google Scholar