A cellular automata model of tumor–immune system interactions

We present a hybrid cellular automata–partial differential equation model of moderate complexity to describe the interactions between a growing tumor next to a nutrient source and the immune system of the host organism. The model allows both temporal and two-dimensional spatial evolution of the syst...

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Bibliographic Details
Published inJournal of theoretical biology Vol. 239; no. 3; pp. 334 - 350
Main Authors Mallet, D.G., De Pillis, L.G.
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 07.04.2006
Subjects
Cell Cycle - immunology
Cell Division - immunology
Cellular automata
Humans
Immune
Immunity, Cellular
Killer Cells, Natural - immunology
Leukemic Infiltration
Lymphocyte infiltration
Models, Immunological
Neoplasms - immunology
Neoplasms - pathology
Oscillatory growth
T-Lymphocytes, Cytotoxic - immunology
Tumor
Tumor
Cellular automata
Immune
Lymphocyte infiltration
Oscillatory growth
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Summary:We present a hybrid cellular automata–partial differential equation model of moderate complexity to describe the interactions between a growing tumor next to a nutrient source and the immune system of the host organism. The model allows both temporal and two-dimensional spatial evolution of the system under investigation and is comprised of biological cell metabolism rules derived from both the experimental and mathematical modeling literature. We present numerical simulations that display behaviors which are qualitatively similar to those exhibited in tumor–immune system interaction experiments. These include spherical tumor growth, stable and unstable oscillatory tumor growth, satellitosis and tumor infiltration by immune cells. Finally, the relationship between these different growth regimes and key system parameters is discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0022-5193
1095-8541
DOI:10.1016/j.jtbi.2005.08.002