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Travelling waves and pattern formation in a model for fungal development |
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| Authors: | F. A. Davidson B. D. Sleeman A. D. M. Rayner J. W. Crawford K. Ritz |
| Affiliation: | (1) Department of Mathematics and Computer Science, University of Dundee, Dundee, DD1 4HN, UK, GB;(2) Department of Applied Mathematical Studies, University of Leeds, Leeds, LS2 9JT, UK, GB;(3) School of Biology and Biochemistry, University of Bath, Claverton Down, Bath BA2 7AY, UK, GB;(4) Unit of Integrative Bioscience, Cellular and Environmental Physiology Department, Scottish Crop Research Institute, Invergowrie, Dundee, DD2 5DA, UK, GB |
| 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. Received 22 November 1995; received in revised form 17 May 1996 |
| Keywords: | : Fungal mycelia Reaction-diffusion Pattern formation |
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