Scaling from mycelial growth to infection dynamics: a reaction diffusion approach

Fungal Ecology

Volumn 1, Issue 4, 2008, Pages 133-142

  Cunniffe, Nik J ^a   Gilligan, Christopher A ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Epidemiology; Mathematical modelling; Mycelial growth; Nutrient limitation; Pathogenic fungi; Pathozone; Primary infection; Reaction diffusion; Scaling up

Indexed keywords

FUNGI;

EID: 60249102944     PISSN: 17545048     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.funeco.2008.10.007     Document Type: Review

References (58)

1. Bailey D.J., and Gilligan C.A. Biological control of pathozone behaviour and disease dynamics of Rhizoctonia solani by Trichoderma viride. New Phytologist 136 (1997) 359-367
2. Bailey D.J., Otten W., and Gilligan C.A. Percolation, heterogeneity and the saprotrophic invasion of soil by the fungal plant pathogen Rhizoctonia solani. New Phytologist 146 (2000) 535-544
3. Boswell G.P., and Hopkins S. Linking hyphal growth to colony dynamics: spatially explicit models of mycelia. Fungal Ecology 1 (2008) 143-154
4. Boswell G.P., Jacobs H., Davidson F.A., Gadd G.M., and Ritz K. Growth and function of fungal mycelia in heterogeneous environments. Bulletin of Mathematical Biology 65 (2003) 447-477
5. Boswell G.P., Jacobs H., Davidson F.A., Gadd G.M., and Ritz K. A positive numerical scheme applied to a mixed-type 1D partial differential equation model for fungal growth. Applied Mathematics and Computation 138 (2003) 321-340
6. Boswell G.P., Jacobs H., Davidson F.A., Gadd G.M., and Ritz K. Functional consequences of nutrient translocation in mycelial fungi. Journal of Theoretical Biology 217 (2002) 459-477
7. Boswell G.P., Jacobs H., Gadd G.M., Ritz K., and Davidson F. A mathematical approach to studying fungal mycelia. Mycologist 17 (2003) 165-171
8. Boswell G.P., Jacobs H., Ritz K., Davidson F., and Gadd G.M. The development of fungal networks in complex environments. Bulletin of Mathematical Biology 69 (2007) 604-634
9. Bull A.T., and Trinci A.P. The physiology and metabolic control of fungal growth. Advances in Microbial Physiology 15 (1977) 1-84
10. Crank J. The Mathematics of Diffusion (1980), Oxford University Press, Oxford
11. Davidson F.A. Modelling the qualitative response of fungal mycelia to heterogeneous environments. Journal of Theoretical Biology 195 (1998) 281-292
12. Davidson F.A. Mathematical modelling of mycelia: a question of scale. Fungal Biology Reviews 21 (2007) 30-41
13. Davidson F.A., and Olsson S. Translocation induced outgrowth of fungi in nutrient-free environments. Journal of Theoretical Biology 205 (2000) 73-84
14. Davidson F.A., and Park A.W. A mathematical model for fungal development in heterogeneous environments. Applied Mathematics Letters 11 (1998) 51-56
15. Davidson F.A., Sleeman B.D., Rayner A.D.M., Crawford J.W., and Ritz K. Context-dependent macroscopic patterns in growing and interacting mycelial networks. Proceedings of the Royal Society London, Series B 263 (1996) 873-880
16. Davidson F.A., Sleeman B.D., Rayner A.D.M., Crawford J.W., and Ritz K. Large-scale behavior of fungal mycelia. Mathematical and Computer Modelling 24 (1996) 81-87
17. Davidson F.A., Sleeman B.D., Rayner A.D.M., Crawford J.W., and Ritz K. Travelling waves and pattern formation in a model for fungal development. Journal of Mathematical Biology 35 (1997)
18. Edelstein L. The propagation of fungal colonies: a model for tissue growth. Journal of Theoretical Biology 98 (1982) 679-701
19. Edelstein-Keshet L., and Ermentrout B. Model for branching networks in two dimensions. SIAM Journal of Applied Mathematics 49 (1989) 1136-1157
20. Edelstein L., Hadar Y., Chet I., Henis Y., and Segel L. A model for fungal colony growth applied to Sclerotium rolfsii. Journal of General Microbiology 129 (1983) 1873-1881
21. Edelstein L., and Segel L.A. Growth and metabolism in mycelial fungi. Journal of Theoretical Biology 104 (1983) 187-210
22. Falconer R.E., Bown J.L., White N.A., and Crawford J.W. Biomass recycling and the origin of phenotype in fungal mycelia. Proceedings of the Royal Society London, Series B 272 (2005) 1727-1734
23. Falconer R.E., Bown J.L., White N.A., and Crawford J.W. Biomass recycling: a key to efficient foraging by fungal colonies. OIKOS 116 (2007) 1558-1568
24. Garrett S.D. Pathogenic Root-Infecting Fungi (1970), Cambridge University Press, Cambridge
25. Gibson G.J., Kleczkowski A., and Gilligan C.A. A Bayesian analysis of botanical epidemics using stochastic compartmental models. Proceedings of the National Academy of Science 101 (2004) 12120-12124
26. Gilligan C.A. Modelling soil-borne plant pathogens with special emphasis on spatial aspects of disease: reaction-diffusion models. Canadian Journal of Plant Pathology 17 (1985) 96-108
27. Gilligan C.A. Probability models for host infection by soilborne plant pathogens. Phytopathology 75 (1985) 61-67
28. Gilligan C.A. An epidemiological framework for disease management. In: Callow J.A. (Ed). Advances in Botanical Research vol. 38 (2002), Academic Press, London 1-64
29. Gilligan C.A. Sustainable agriculture and plant disease: an epidemiological perspective. Philosophical Transactions of the Royal Society London, Series B 363 (2008) 741-759
30. Gilligan C.A., and Bailey D.J. Components of pathozone behaviour. New Phytologist 136 (1997) 343-358
31. Gilligan C.A., and Simons S.A. Inoculum efficiency and pathozone width for two host-parasite systems. New Phytologist 107 (1987) 549-566
32. Golldack J., Augustin C., Lentzsch P., and Werner A. Pathozones of genetic subtypes of Gaeumannomyces graminis in cereals. Soil Biology and Biochemistry 36 (2004) 145-154
33. Halley J., Comins H., Lawton J., and Hassell M. Competition, succession and pattern in fungal communities - towards a cellular automaton model. OIKOS 70 (1994) 435-442
34. Jeger M.J., Lamour A., Gilligan C.A., and Otten W. A fungal growth model fitted to carbon-limited dynamics of Rhizoctonia solani. New Phytologist 178 (2008) 625-633
35. Károlyi G. Fractal scaling of microbial colonies affects growth. Physical Review E 71 (2005) 10.1103/PhysRevE.71.031915
36. Kleczkowski A., and Gilligan C.A. Parameter estimation and prediction for the course of a single epidemic outbreak of a plant disease. Journal of the Royal Society Interface 16 (2007) 856-877
37. Kleczkowski A., Gilligan C.A., and Bailey D.J. Scaling and spatial dynamics in plant pathogen systems: from individuals to populations. Proceedings of the Royal Society London, Series B 264 (1997) 979-984
38. Knudsen G.R., Stack J.P., Schuhmann S.O., Orr K., and LaPaglia C. Individual-based approach to modeling hyphal growth of a biocontrol fungus in soil. Phytopathology 96 (2006) 1108-1115
39. Koch A.L. The kinetics of mycelial growth. Journal of General Microbiology 89 (1975) 209-216
40. Lamour A., van den Bosch F., Termorshuizen A.J., and Jeger M.J. Modelling the growth of soil-borne fungi in response to carbon and nitrogen. IMA Journal of Mathematics Applied in Medicine and Biology 17 (2000) 329-346
41. Lamour A., van den Bosch F., Termorshuizen A.J., and Jeger M.J. Quasi-steady state approximation to a fungal growth model. IMA Journal of Mathematics Applied in Medicine and Biology 19 (2002) 163-183
42. Liddell C.M., and Hansen D. Visualizing complex biological interactions in the soil ecosystem. The Journal of Visualization and Computer Animation 4 (1993) 3-12
43. Madden L.V., Hughes G., and van den Bosch F. The Study of Plant Disease Epidemics (2007), American Phytopathological Society, St. John
44. Meškauskas A., Fricker M.D., and Moore D. Simulating colonial growth of fungi with the neighbour-sensing model of hyphal growth. Mycological Research 108 (2004) 1-16
45. Monod J. The growth of bacterial cultures. Annual Review of Microbiology 3 (1949) 371-394
46. Otten W., and Gilligan C.A. Effect of physical conditions on the spatial and temporal dynamics of the soil-borne fungal pathogen Rhizoctonia solani. New Phytologist 138 (1998) 629-637
47. Otten W., Hall D., Harris K., Ritz K., Young I.M., and Gilligan C.A. Soil physics, fungal epidemiology and the spread of Rhizoctonia solani. New Phytologist 151 (2001) 459-468
48. Paustian K., and Schnürer J. Fungal growth response to carbon and nitrogen limitation: a theoretical model. Soil Biology and Biochemistry 19 (1987) 613-620
49. Prosser J.I. Kinetics of filamentous growth and branching. In: Gow N.A.R., and Gadd G.M. (Eds). The Growing Fungus (1995), Chapman & Hall, London, UK 301-318
50. Rayner A.D.M., and Coates D. Regulation of mycelial organization and responses. In: Brasier C.M., and Moore D. (Eds). Evolutionary Biology of the Fungi (1987), Cambridge University Press, Cambridge 115-131
51. Regalado C.M., Crawford J.W., Ritz K., and Sleeman B.D. The origins of spatial heterogeneity in vegetative mycelia: a reaction-diffusion model. Mycological Research 100 (1996) 1473-1480
52. Ritz K. Growth responses of some soil fungi to spatially heterogeneous nutrients. FEMS Microbiology Ecology 16 (1995) 269-280
53. Soddell F., Seviour R., and Soddell J. Using Lindenmayer systems to investigate how filamentous fungi may produce round colonies. Complexity International, 1320-0682 (1995). Available from: http://journal-ci.csse.monash.edu.au/ci/vol02/f_soddel/
54. Schnepf A., and Roose T. Modelling the contribution of arbuscular mycorrhizal fungi to plant nutrient uptake. New Phytologist 171 (2006) 669-682
55. Skellam J.G. Random dispersal in theoretical populations. Biometrika 38 (1951) 196-218
56. Stacey A.J., Truscott J.E., and Gilligan C.A. Soil-borne fungal pathogens: scaling-up from hyphal to colony behaviour and the probability of disease transmission. New Phytologist 150 (2001) 169-177
57. Thornton C.R., and Gilligan C.A. Quantification of the effect of the hyperparasite Trichoderma harzianum on the saprotrophic growth dynamics of Rhizoctonia solani in compost using a monoclonal antibody-based ELISA. Mycological Research 103 (1999) 84-91
58. Tunbridge A., and Jones H. An L-systems approach to the modelling of fungal growth. The Journal of Visualization and Computer Animation 6 (1995) 91-107