Competitive aggregation dynamics using phase wave signals

Hidetsugu Sakaguchi, Satomi Maeyama

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Coupled equations of the phase equation and the equation of cell concentration n are proposed for competitive aggregation dynamics of slime mold in two dimensions. Phase waves are used as tactic signals of aggregation in this model. Several aggregation clusters are formed initially, and target patterns appear around the localized aggregation clusters. Owing to the competition among target patterns, the number of the localized aggregation clusters decreases, and finally one dominant localized pattern survives. If the phase equation is replaced with the complex Ginzburg-Landau equation, several spiral patterns appear, and n is localized near the center of the spiral patterns. After the competition among spiral patterns, one dominant spiral survives.

    Original languageEnglish
    Pages (from-to)155-160
    Number of pages6
    JournalJournal of Theoretical Biology
    Volume359
    DOIs
    Publication statusPublished - Oct 21 2014

    All Science Journal Classification (ASJC) codes

    • Statistics and Probability
    • Modelling and Simulation
    • Biochemistry, Genetics and Molecular Biology(all)
    • Immunology and Microbiology(all)
    • Agricultural and Biological Sciences(all)
    • Applied Mathematics

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