Abstract
Fusarium Graminearum is responsible for Fusarium head blight (FHB) infection which reduces world-wide cereal crop yield. As a consequence of mycotoxin production in cereal grain, it has also serious negative impact on both human and animal health. The main objective of this study is to develop a mechanistic and conceptual metaphor of Fusarium growth. Our model is based on a new realization of Graph of Cellular Automata paradigm (GCA) used before for simulating anastomosing rivers and the process of angiogenesis in solid tumors. We demonstrate that GCA model is a very universal metaphor, which can also be used for mimicking Fusarium type of growth. To enable 3-D interactive simulations of realistic population ensembles (105-107 plant and fungal cells), the GCA model was implemented in GPGPU CUDA environment resulting in one order of magnitude speedup.
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References
Miller, S.S., Chabot, D.M.P., Ouellet, T., Harris, L.J., Fedak, G.: Use of a Fusarium graminearum strain transformed with green fluorescent protein to study infection in wheat (Triticum aestivum). Can. J. Plant Pathol. 26, 453–463 (2004)
Chopard, B., Droz, M.: Cellular Automata Modeling of Physical Systems. Cambridge University Press (1998)
Topa, P.: Network Systems Modelled by Complex Cellular Automata Paradigm. In: Salcido, A. (ed.) Cellular Automata - Simplicity Behind Complexity. InTech (2011) ISBN: 978-953-307-230-2
Wąs, J., Gudowski, B., Matuszyk, P.J.: Social Distances Model of Pedestrian Dynamics. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds.) ACRI 2006. LNCS, vol. 4173, pp. 492–501. Springer, Heidelberg (2006)
Pritsch, C., Muehlbauer, G.J., Bushnell, W.R., Somers, D.A., Vance, C.P.: Fungal development and induction of defense response genes during early infection of wheat spikes by Fusarium graminearum. Molecular plantmicrobe interactions MPMI 13, 159–169 (2000)
Gobron, S., Coltekin, A., Bonafos, H., Thalmann, D.: GPGPU Computation and Visualization of Three-dimensional Cellular Automata. The Visual Computer 27(1), 67–81 (2011)
Khronos Group, http://www.khronos.org/opencl/
Boswell, G.P., Jacobs, H., Davidson, F.A., Gadd, G.M., Ritz, K.: A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Appl. Math. Comput. 138, 321–340 (2003)
Halley, J.M., Comins, H.N., Lawton, J.H., Hassell, M.P.: Competition, Succession and Pattern in Fungal Communities: Towards a Cellular Automaton Model. Oikos 70(3), 435–442 (1994)
Laszlo, J.A., Silman, R.W.: Cellular automata simulations of fungal growth on solid substrates. Biotechnology Advances 11(3), 621–633 (1993), Special Issue: Solid Substrate Fermentations
Boswell, G., Jacobs, H., Ritz, K., Gadd, G., Davidson, F.: The Development of Fungal Networks in Complex Environments. Bulletin of Mathematical Biology 69(2), 605–634 (2007)
Topa, P., Dzwinel, W., Yuen, D.: A multiscale cellular automata model for simulating complex transportation systems. International Journal of Modern Physics C 17(10), 1–23 (2006)
Topa, P.: Dynamically Reorganising Vascular Networks Modelled Using Cellular Automata Approach. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds.) ACRI 2008. LNCS, vol. 5191, pp. 494–499. Springer, Heidelberg (2008)
Topa, P.: Towards a Two-Scale Cellular Automata Model of Tumour-Induced Angiogenesis. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds.) ACRI 2006. LNCS, vol. 4173, pp. 337–346. Springer, Heidelberg (2006)
Harris, S.D.: Branching of fungal hyphae: regulation, mechanisms and comparison with other branching systems. Mycologia 100(6), 823–832 (2008)
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Topa, P., Kuźniar, M., Dzwinel, W. (2012). Graph of Cellular Automata as a Metaphor of Fusarium Graminearum Growth Implemented in GPGPU CUDA Computational Environment. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_60
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DOI: https://doi.org/10.1007/978-3-642-31500-8_60
Publisher Name: Springer, Berlin, Heidelberg
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