Simulated brain tumor growth dynamics using a three-dimensional cellular automaton

A. R. Kansal, S. Torquato, G. R. Harsh IV, E. A. Chiocca, T. S. Deisboeck

Research output: Contribution to journalArticlepeer-review

349 Scopus citations


We have developed a novel and versatile three-dimensional cellular automaton model of brain tumor growth. We show that macroscopic tumor behavior can be realistically modeled using microscopic parameters. Using only four parameters, this model simulates Gompertzian growth for a tumor growing over nearly three orders of magnitude in radius. It also predicts the composition and dynamics of the tumor at selected time points in agreement with medical literature. We also demonstrate the flexibility of the model by showing the emergence, and eventual dominance, of a second tumor clone with a different genotype. The model incorporates several important and novel features, both in the rules governing the model and in the underlying structure of the model. Among these are a new definition of how to model proliferative and non-proliferative cells, an isotropic lattice, and an adaptive grid lattice. (C) 2000 Academic Press.

Original languageEnglish (US)
Pages (from-to)367-382
Number of pages16
JournalJournal of Theoretical Biology
Issue number4
StatePublished - Apr 21 2000

All Science Journal Classification (ASJC) codes

  • General Immunology and Microbiology
  • Applied Mathematics
  • General Biochemistry, Genetics and Molecular Biology
  • General Agricultural and Biological Sciences
  • Statistics and Probability
  • Modeling and Simulation


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