MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Individual-based approaches to birth and death in avascular tumors

Dirk Drasdo and Stefan Höhme


In this paper we focus on the growth of avascular tumor spheroids in-vitro. We present a single-cell based approach that allows to link the model parameters to experimental accessible biomechanical and kinetic parameters and provides a potential, at least partly quantitative, description of growing avascular tumors in early growth stages not dominated by nutrient consumption. In our approach cells behave like elastic, attracting particles in a viscous environment with the additional capability of growth and division. We discuss how regimes of generic growth behavior may be identified. Regimes of generic system behavior seem in particular useful in classifying growing multicellular systems by certain characteristic features. To motivate the use of individual-based models we present computer simulations with our model on a chemotherapy-inspired death process.

MSC Codes:
82C22, 82C80, 92C05, 92C50
87.18.-h, 87.68.+z
avascular tumors, individual-based approach, off-lattice

Related publications

2003 Repository Open Access
Dirk Drasdo and Stefan Höhme

Individual-based approaches to birth and death in avascular tumors

In: Mathematical and computer modelling, 37 (2003) 11, pp. 1163-1175