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On Selected Individual-based Approaches to the Dynamics in Multicellular Systems

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Polymer and Cell Dynamics

Part of the book series: Mathematics and Biosciences in Interaction ((MBI))

Summary

In recent years a number of different individual-based models for spatiotemporal 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, and (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.

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Authors and Affiliations

  1. Max-Planck-Institute for Mathematics in the Science, Inselstr. 22-26, D-04103, Leipzig, Germany

    Dirk Drasdo

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  1. Dirk Drasdo
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Editors and Affiliations

  1. Abteilung Theoretische Biologie Botanisches Institut, Universität Bonn, Kirschallee 1, D-53115, Bonn, Germany

    Wolfgang Alt

  2. Department of Mathematics, University of Dundee, 23 Perth Road, Dundee, DDI 4HN, UK

    Mark Chaplain

  3. Institut für Angewandte Mathematik (IAM) Abteilung Wissenschaftliches Rechnen und Numerische Simulation, Universität Bonn, Wegeier Str. 6, D-53115, Bonn, Germany

    Michael Griebel

  4. Bioreact GmbH, Botanisches Institut, Kirschallee 1, 53115, Bonn, Germany

    Jürgen Lenz

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Drasdo, D. (2003). On Selected Individual-based Approaches to the Dynamics in Multicellular Systems. In: Alt, W., Chaplain, M., Griebel, M., Lenz, J. (eds) Polymer and Cell Dynamics. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8043-5_15

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  • DOI: https://doi.org/10.1007/978-3-0348-8043-5_15

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