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Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2020

Modelling fungal growth with fractional transport models

Résumé

Due to the network-shaped colony formed by the filamentous fungi, fractional operators are likely to capture the time-evolution of their biomass distribution. In this paper, a gen- eralised fractional transport model is developed to simulate the colony growth of a wood- rot fungus, Postia placenta . The colony is described by two variables, active and inactive biomass. The active biomass corresponds to the tips and the “active points”, responsible for biomass formation, while the inactive component represents the remaining biomass, which is assumed immobile. The fractional in time and space derivatives are applied to the active biomass to represent the spatial colonisation (i.e., tip movement). The prolifera- tion of biomass (local densification of the network due to branching) is driven by a source term, while a portion of active biomass becomes inactive over time. The model is solved using an extended finite volume discretisation scheme and the accuracy is confirmed by comparison to an analytic solution obtained for the case where the source term is as- sumed linear. Next, the model parameters are identified for an optimized solution of the model that matches experimental observations well, indicating the suitability of the frac- tional operators for modelling biomass diffusion in a fungal colony. An interesting finding is that the best results are obtained when only anomalous diffusion in space (not time) is considered, which is probably related to the fractal dimension of mycelia. The spatial fractional–order derivative provides a unique ability to capture the non-local biomass dif- fusion of the fungal colony. We postulate that the fractional indices may provide a form of biological marker for the growth characteristics of different fungal species.
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Dates et versions

hal-03140142 , version 1 (12-02-2021)

Identifiants

Citer

Huan Du, Patrick Perre, Ian Turner. Modelling fungal growth with fractional transport models. Communications in Nonlinear Science and Numerical Simulation, 2020, 84, pp.105157. ⟨10.1016/j.cnsns.2019.105157⟩. ⟨hal-03140142⟩
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