Mathematical Modelling of Fungal Growth
A mathematical model was defined in Chapter 14 as a description of a process or system in a mathematical form. The kinetic equations described in Chapter 14 therefore represent a type of mathematical model and Chapters 14 and 15 broadly distinguish two modelling approaches, that of the former chapter being largely descriptive and empirical. Kinetic equations were relatively simple, based on experimental observations and designed to be of practical use, e.g. in comparing quantitatively growth of different fungi, or growth under different environmental or nutritional conditions. In this chapter, more complex models will be discussed. Most are based on biological assumptions regarding mechanisms controlling particular aspects of fungal growth and generate predictions which may be tested experimentally.
KeywordsSpecific Growth Rate Mycelial Growth Hyphal Growth Aspergillus Nidulans Extension Zone
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- Bartnicki-Gartia, S. (1973) Fundamental aspects of hyphal morphogenesis. Symposia of the Society of General Microbiology, 23, 245–67.Google Scholar
- Bartnicki-Garcia, S., Hergert, F. and Gierz, G. (1990) A novel computer model for generation of cell shape: application to fungal morphogenesis, in Biochemistry of Cell Walls and Membranes in Fungi, (eds P.J. Kuhn, A.P.J. Trinci, M.J. Jung and L.G. Copping), Springer-Verlag, Berlin, pp. 43–60.CrossRefGoogle Scholar
- Collinge, A.J., and Trinci, A.P.J. (1974) Hyphal tips of wild-type and spreading colonial mutants of Neurospora crassa. Archiv fur Mikrobiologie, 99, 353–68.Google Scholar
- Edelstein, L. Hadar, Y., Chet, I. et al. (1983) A model for fungal colony growth applied to Sclerotium rolfsii. Journal of General Microbiology, 129, 1873–81.Google Scholar
- Green, P.B. (1974) Morphogenesis of the cell and organ axis — biophysical models. Brookhaven Symposium on Biology, 25, 166–90.Google Scholar
- Green, P.B. and King, A. (1966) A mechanism for the origin of specifically oriented texture in development with special reference to Nitella wall texture. Australian Journal of Biological Science, 19, 421–37.Google Scholar
- Koch, A.L. (1982) The shape of hyphal tips of fungi. Journal of General Microbiology, 128, 947–51.Google Scholar
- Michel, F.C., Grulke, E.A. and Reddy, C.A. (1992) Determination of the respiration kinetics for mycelial pellets of Phanerochaete chrysosporium. Biotechnology and Bioengineering, 58, 1740–5.Google Scholar
- Tough, A. (1989) A theoretical model of streptomycete growth in submerged culture. PhD Thesis, University of Aberdeen, Aberdeen, Scotland.Google Scholar
- Trinci, A.P.J. (1979) Duplication cycle and branching in fungi, in Fungal Walls and Hyphal Growth (eds J.H. Burnett and A.P.J. Trinci), Cambridge University Press, Cambridge, pp. 319–58.Google Scholar