Mycelial response to spatiotemporal nutrient heterogeneity: A velocity-jump mathematical model

Fungal Ecology - Tập 5 - Trang 124-136 - 2012
Steven Hopkins1, Graeme P. Boswell1
1Department of Computing and Mathematics, Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom

Tài liệu tham khảo

Amir, 1995, Turgor changes in Morchella esculenta during translocation and sclerotial formation, Experimental Mycology, 19, 129, 10.1006/emyc.1995.1015 Bailey, 2000, Saprotrophic invasion by the soil-borne fungal plant pathogen Rhizoctonia solani and percolation thresholds, New Phytologist, 146, 535, 10.1046/j.1469-8137.2000.00660.x Bartnicki-García, 1995, Evidence that Spitzenkörper behaviour determines the shape of a fungal hypha: a test of the hyphoid model, Experimental Mycology, 19, 153, 10.1006/emyc.1995.1017 Boddy, 1993, Saprotrophic cord-forming fungi: warfare strategies and other ecological aspects, Mycological Research, 97, 641, 10.1016/S0953-7562(09)80141-X Boswell, 2008, Modelling mycelial networks in structured environments, Mycological Research, 112, 1015, 10.1016/j.mycres.2008.02.006 Boswell, 2002, Functional consequences of nutritional translocation in mycelial fungi, Journal of Theoretical Biology, 217, 459, 10.1006/jtbi.2002.3048 Boswell, 2003, A mathematical approach to studying fungal mycelia, Mycologist, 17, 165, 10.1017/S0269915X04004033 Boswell, 2007, The development of fungal networks in complex environments, Bulletin of Mathematical Biology, 69, 605, 10.1007/s11538-005-9056-6 Brand, 2009, Mechanisms of hypha orientation of fungi, Current Opinion in Microbiology, 12, 350, 10.1016/j.mib.2009.05.007 Brand, 2007, Hyphal orientation of Candida albicans is regulated by a calcium dependent mechanism, Current Biology, 17, 347, 10.1016/j.cub.2006.12.043 Carlile, 1994 Cohen, 1967, Computer simulation of biological pattern generation processes, Nature, 216, 246, 10.1038/216246a0 Crombie, 1990, Influence of applied electrical fields on yeast and hyphal growth of Candida albicans, Journal of General Microbiology, 136, 311, 10.1099/00221287-136-2-311 Cunniffe, 2009, Scaling forom mycelial growth to infection dynamics: a reaction diffusion approach, Fungal Ecology, 1, 133, 10.1016/j.funeco.2008.10.007 Davidson, 1998, Modelling the qualitative response of fungal mycelia to heterogeneous environments, Journal of Theoretical Biology, 195, 281, 10.1006/jtbi.1998.0739 Davidson, 1998, A mathematical model for fungal development in heterogeneous environments, Applied Mathematics Letters, 11, 51, 10.1016/S0893-9659(98)00102-5 Davidson, 1996, Large-scale behaviour of fungal mycelia, Journal of Mathematical and Computer Modelling, 24, 81, 10.1016/S0895-7177(96)00166-5 Edelstein, 1982, The propagation of fungal colonies: a model for tissue growth, Journal of Theoretical Biology, 98, 679, 10.1016/0022-5193(82)90146-1 Ermentrout, 1993, Cellular automata approaches to biological modeling, Journal of Theoretical Biology, 160, 97, 10.1006/jtbi.1993.1007 Falconer, 2005, Biomass recycling and the origin of phenotype in fungal mycelia, Proceedings of the Royal Society of London, Biological Sciences, 272, 1727, 10.1098/rspb.2005.3150 Fomina, 2000, Negative fungal chemotropism to toxic metals, FEMS Microbiology Letters, 193, 207, 10.1111/j.1574-6968.2000.tb09425.x Fricker, 2008, Imaging complex nutrient dynamics in mycelial networks, Journal of Microscopy, 231, 317, 10.1111/j.1365-2818.2008.02043.x Gow, 1995 Heaton, 2010, Growth-induced mass flows in fungal networks, Proceedings of the Royal Society of London, Biological Sciences, 277, 3265, 10.1098/rspb.2010.0735 Hickey, 2002, Live-cell imaging of vegetative hyphal fusion in Neurospora crassa, Fungal Genetics and Biology, 37, 109, 10.1016/S1087-1845(02)00035-X Hill, 1997, A biased random walk model for the trajectories of swimming micro-organisms, Journal of Theoretical Biology, 186, 503, 10.1006/jtbi.1997.0421 Hutchinson, 1980, Control of hyphal orientation in colonies of Mucor hiemalis, Transactions of the British Mycological Society, 75, 177, 10.1016/S0007-1536(80)80078-7 Indermitte, 1994, Culture analysis and external interaction models of mycelial growth, Bulletin of Mathematical Biology, 56, 633, 10.1007/BF02460715 Jacobs, 2002, Solubilization of metal phosphates by Rhizoctonia solani, Mycological Research, 106, 1468, 10.1017/S0953756202006901 Knudsen, 2006, Individual-based approach to model hyphal growth of a biocontrol fungus in soil, Phytopathology, 96, 1108, 10.1094/PHYTO-96-1108 Kohlmeier, 2005, Taking the fungal highway: mobilization of pollutant-degrading bacteria by fungi, Environmental Science and Technology, 39, 4640, 10.1021/es047979z Kotov, 1990, A stochastic model for early mycelial growth, Mycological Research, 94, 577, 10.1016/S0953-7562(09)80655-2 Lopez, 2002, Generic model of morphological changes in growing colonies of fungi, Physical Review E, 65, 021903, 10.1103/PhysRevE.65.021903 Meškauskas, 2004, Simulating colonial growth of fungi with the neighbour-sensing model of hyphal growth, Mycological Research, 108, 1241, 10.1017/S0953756204001261 Meškauskas, 2004, Concerted regulation of all hyphal tips generates fungal fruit body structures: experiments with computer visualisations produced by a new mathematical model of hyphal growth, Mycological Research, 108, 341, 10.1017/S0953756204009670 Oh, 1997, Flow sensing in mycelial fungi, Journal of Biotechnology, 58, 197, 10.1016/S0168-1656(97)00147-8 Olsson, 1995, Mycelial density profiles of fungi on heterogeneous media and their interpretation in terms of nutrient reallocation patterns, Mycological Research, 99, 143, 10.1016/S0953-7562(09)80878-2 Olsson, 1999, Nutrient translocation and electrical signalling in mycelia, 25 Othmer, 1997, Aggregation, blowup, and collapse: the ABC’s of taxis in reinforced random walks, SIAM Journal of Applied Mathematics, 57, 1044, 10.1137/S0036139995288976 Paulitz, 2005, A new method for the quantification of Rhizoctonia solani and R. oryzae from soil, Plant Disease, 87, 767, 10.1094/PD-89-0767 Paustian, 1987, Fungal growth response to carbon and nitrogen limitation: a theoretical model, Soil Biology and Biochemistry, 19, 613, 10.1016/0038-0717(87)90107-6 Paustian, 1987, Fungal growth response to carbon and nitrogen limitation: application of a model to laboratory and field data, Soil Biology and Biochemistry, 19, 621, 10.1016/0038-0717(87)90108-8 Plank, 2004, Lattice and non-lattice models of tumor angiogenesis, Bulletin of Mathematical Biology, 66, 1785, 10.1016/j.bulm.2004.04.001 Regalado, 1996, The origins of spatial heterogeneity in vegetative mycelia: a reaction-diffusion model, Mycological Research, 100, 1473, 10.1016/S0953-7562(96)80080-3 Riquelme, 2004, Key differences between lateral and apical branching in hyphae of Neurospora crassa, Fungal Genetics and Biology, 41, 842, 10.1016/j.fgb.2004.04.006 Riquelme, 1998, What determines growth direction in fungal hyphae?, Fungal Genetics and Biology, 24, 101, 10.1006/fgbi.1998.1074 Ritz, 1995, Growth responses of some soil fungi to spatially heterogeneous nutrients, FEMS Microbiology Ecology, 16, 269, 10.1111/j.1574-6941.1995.tb00291.x Schnepf, 2006, Modelling the contribution of arbuscular mychorrhizal fungi to plant phosphate uptake, New Phytologist, 171, 669, 10.1111/j.1469-8137.2006.01771.x Smith Stacey, 2001, Soil-borne fungal pathogens: scaling-up from hyphal to colony behaviour and the probability of disease transmission, New Phytologist, 150, 169, 10.1046/j.1469-8137.2001.00082.x Tlalka, 2008, Imaging of long-distance α-aminoisobutyric acid translocation dynamics during resource capture by Serpula lacrymans, Applied and Environmental Microbiology, 74, 2700, 10.1128/AEM.02765-07 Trinci, 1974, A study of the kinetics of hyphal extension and branch initiation of fungal mycelia, Journal of General Microbiology, 81, 225, 10.1099/00221287-81-1-225 Watts, 1998, Thigmotropism and stretchactivated channels in the pathogenic fungus Candida albicans, Microbiology, 144, 689, 10.1099/00221287-144-3-689 Webster, 2007 Wick, 2007, Effect of fungal hyphae on the access of bacteria to phenanthrene in soil, Environmental Science and Technology, 41, 500, 10.1021/es061407s Yang, 1992, Measurement and simulation of the morphological development of filamentous microorgansims, Biotechnology and Bioengineering, 39, 44, 10.1002/bit.260390108 Yang, 1992, Mathematical model for apical growth, septation and branching of mycelial microorganisms, Biotechnology and Bioengineering, 39, 49, 10.1002/bit.260390109