Mathematical modelling of mycelia: a question of scale |
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| Institution: | 1. Department of Mathematics, Sivanath Sastri College, Kolkata, India;2. Basic Sciences and Humanities Department, Calcutta Institute of Engineering and Management, Kolkata, India;3. Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia;4. Mathematics Department, Faculty of Science, Universiti Putra Malaysia, Malaysia;5. Al-Kindi Cryptography Research Laboratory, Institute for Mathematical Research, Universiti Putra Malaysia, Malaysia;6. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;7. University of Calcutta, Kolkata, India;1. CBQF – Centro de Biotecnologia e Química Fina – Laboratório Associado, Escola Superior de Biotecnologia, Universidade Católica Portuguesa/Porto, Rua Arquiteto Lobão Vital, Apartado 2511, 4202-401 Porto, Portugal;2. Nutrição e Metabolismo, NOVA Medical School, Universidade Nova de Lisboa, Campo dos Mártires da Pátria, 130, l 1169-056 Lisboa, Portugal;3. CINTESIS – Centro de Investigação em Tecnologias e Serviços de Saúde, Porto, Portugal;1. Universitetet i Bergen, Matematisk institutt, Postboks 7803, 5020, Bergen, Norway;2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran |
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| Abstract: | Recent advances in systems biology have driven many aspects of biological research in a direction heavily weighted towards computational, quantitative and predictive analysis, based on, or assisted by mathematical modelling. In particular, mathematical modelling has played a significant role in the development of our understanding of the growth and function of the fungal mycelium. One of the main problems that faces modellers in this context is the choice of scale. In the study of fungal mycelia, the question of scale is expressed in an extreme manner: Their indeterminate growth habit ensures that the investigation of the growth and function of mycelial fungi has to consider scales ranging from the (sub) micron to the kilometer. An excellent and extensive review of the applications of mathematical modelling to fungal growth, conducted up to the mid-1990s, can be found in Prosser (1995). In this article, we will concentrate on work since that date, with the emphasis being on recent developments in understanding fungal mycelia at all scales. |
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