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MiS Preprint

Cell-based models of avascular tumor growth

Dirk Drasdo, Sabine Dormann, Stefan Höhme and Andreas Deutsch


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.

Dec 17, 2002
Dec 17, 2002
MSC Codes:
68Q80, 82C22, 92C50
avascular tumors, iindividual-based models, off-lattice, cellular automata

Related publications

2004 Repository Open Access
Dirk Drasdo, S. Dormann, Stefan Höhme and Andreas Deutsch

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)