• Principles of biological pattern formation: swarming and aggregation viewed as selforganization phenomena

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    • Keywords


      Pattern formation; cellular automaton; mathematical model; Boltzmann equation; Myxobacteria; self-organization

    • Abstract


      Migration automaton models are introduced which offer the possibility to directly analyse essential selforganization properties of biological pattern formation at the cellular level. We present examples of migration automata as models of collective motion and cellular aggregation—patterns that are typical for example in the life cycle of Myxobacteria. Linear stability analysis of the corresponding automaton Boltzmann equation allows to distinguish orientation-dependent (collective motion) and density-dependent (aggregation) instabilities.

    • Author Affiliations


      Andreas Deutsch1

      1. Theoretical Biology, Botanical Institute, University of Bonn, Kirschallee 1, Bonn - D-53115, Germany
    • Dates

  • Journal of Biosciences | News

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      Posted on July 25, 2019

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