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Cell-based models of avascular tumor growth
Dirk Drasdo, Sabine Dormann, Stefan Höhme and Andreas DeutschAbstract
Two models for in-vitro avascular tumor growth are discussed which are complementary with respect to the growth stages they model. One of the models is a single-cell-based off-lattice model (in three dimensions), the other is a lattice approach (in two dimensions).
The off-lattice approach operates in an early tumor growth stage where no growth-limitation due to a lack of nutrient occurs, whereas the lattice approach focuses on a later stage where nutrients are already lacking inside the tumor such that a necrotic core is formed.
Chemicals released by dying cells at the later stage induce a cell migration toward the necrotic core which eventually is found to limit further growth. By combining the results of both models a potential qualitative scenario of avascular tumor growth is discussed.
- Received:
- 17.12.02
- Published:
- 17.12.02
- MSC Codes:
- 68Q80, 82C22, 92C50
- PACS:
- 87.18.-h
- Keywords:
- avascular tumors, iindividual-based models, off-lattice, cellular automata
Related publications
Cell-based models of avascular tumor growth
In: Function and regulation of cellular systems / Andreas Deutsch (ed.)Basel : Birkhäuser, 2004. - pp. 367-378
(Mathematics and biosciences in interaction)