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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 (www.arxiv.org) 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
16/2002

On selected individual-based approaches to the dynamics in multicellular systems

Dirk Drasdo

Abstract

In recent years a number of different individual-based models for the spatio-temporal dynamics in multicellular organisms or parts of them have been established. Individual based models (here: individuum = cell) become necessary if
(i) one is interested in understanding the organization principles in tissues down to length scales of the order of a cell diameter in order to link the microscopic dynamics with a collective phenomenon,
(ii) the phenomenon under study includes variations of material or kinetic properties on length scales of the order of the cell diameter.
In this article we give a brief overview over a number of individual-based model approaches.

Received:
Feb 19, 2002
Published:
Feb 19, 2002
MSC Codes:
82C22, 82C80, 92C05, 68Q80
PACS:
87.18.-h, 87.68.+z
Keywords:
individual-based models, multicellular systems

Related publications

inBook
2003 Repository Open Access
Dirk Drasdo

On selected individual-based approaches to the dynamics in multicellular systems

In: Polymer and cell dynamics / Wolfgang Alt (ed.)
Basel : Birkhäuser, 2003. - pp. 169-204