… We present a new mathematical model for avascular tumor growth and development that …
cellular model to describe the dynamics of avascular tumor growth and development. At the …

… suggests that avascular tumours in … model for avascular tumour growth, which does not
assume sharp divisions in space between cell types, and in which tumour growth is driven by cell …

… In the present modeling study we focus on avascular tumor growth. Tumor growth always
starts … We present a two-dimensional hybrid cellular automaton model for the avascular growth …

… as experimental model system for the study of avascular tumor growth [16, 18, 19]. In vitro
growing aV&'icular tumors provide excellent test systems for mathematical models since they …

… methods used for modeling the dynamics of in situ tumor growth before angiogenesis. This
… have made an important contribution to modeling of avascular tumor growth. Their initial …

… In this article, we present a new continuous model for tumor growth. This model describes
the evolution of … In this class, we find for instance cellular automata or agent-based models [1…

… In this paper, we present a mathematical model for avascular tumor growth and its … a
multiscale model using PDEs to describe the evolution of the tumor cell densities. In our model, cell …

… Avascular tumor growth is much simpler to model mathematically, and yet … model of vascular
tumor growth. Moreover, the ease and reproducibility of experiments with avascular tumors …

… avascular tumor growth. It should be emphasized that in this study the term tumor growth is
… the volume of the tumor; in other words, it is assumed that the tumor volume is proportional to …

… model as simple as possible to increase our understanding of the influence of anisotropic
growth on avascular tumor growth. The effect of tumor-surrounding tissue is also considered. …