Davidson, F.A., Sleeman, B.D., Rayner, A.D.M., Crawford, J.W. and Ritz, K. (1997) Travelling waves and pattern formation in a model for fungal development. Journal of Mathematical Biology, 35(5), pp. 589-608. (doi: 10.1007/s002850050067)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Crawford, Professor John |
| Authors: | Davidson, F.A., Sleeman, B.D., Rayner, A.D.M., Crawford, J.W., and Ritz, K. |
| College/School: | College of Social Sciences > Adam Smith Business School > Management |
| Journal Name: | Journal of Mathematical Biology |
| Publisher: | Springer |
| ISSN: | 0303-6812 |
| ISSN (Online): | 1432-1416 |
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