Simulated Brain Tumor Growth Dynamics Using a Three-Dimensional Cellular Automaton

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 ne...

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Bibliographic Details
Published inJournal of theoretical biology Vol. 203; no. 4; pp. 367 - 382
Main Authors KANSAL, A.R., TORQUATO, S., HARSH, G.R., CHIOCCA, E.A., DEISBOECK, T.S.
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 21.04.2000
Subjects
Algorithms
Brain Neoplasms - pathology
Cell Division
Glioblastoma - pathology
Humans
Magnetic Resonance Imaging
Models, Biological
Necrosis
Neoplastic Stem Cells - pathology
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Summary: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.
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ISSN:0022-5193
1095-8541
DOI:10.1006/jtbi.2000.2000