Travelling waves and pattern formation in a model for fungal development

F. A. Davidson, B. D. Sleeman, A. D. M. Rayner, J. W. Crawford, K. Ritz

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    22 Citations (Scopus)

    Abstract

    Under a variety of conditions, the hyphal density within the expanding outer edge of growing fungal mycelia can be spatially heterogeneous or nearly uniform. We conduct an analysis of a system of reaction-diffusion equations used to model the growth of fungal mycelia and the subsequent development of macroscopic patterns produced by differing hyphal and hence biomass densities. Both local and global results are obtained using analytical and numerical techniques. The emphasis is on qualitative results, including the effects of changes in parameter values on the structure of the solution set. © Springer-Verlag 1997.
    Original languageEnglish
    Pages (from-to)589-608
    Number of pages20
    JournalJournal of Mathematical Biology
    Volume35
    Issue number5
    DOIs
    Publication statusPublished - Apr 1997

    Keywords

    • Fungal mycelia
    • Reaction-diffusion
    • Pattern formation

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