Abstract | ||
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Despite internal complexity, algae and bacteria have coexisted since the early stages of evolution. This co-evolution follows relatively simple laws that can be clearly expressed using mathematical models. This paper performs a quantitative analysis, motivated from the perspective of control theory, of a classical model from the literature. The model has been developed using data from an in vivo experimental two-species system where the bacterium Mesorhizobium loti supplies the vitamin B-12 required for growth to the freshwater green alga Lobomonas rostrata and where the action of the B-12 riboswitch is known to be a determinant of system behaviour. Analysis of the model both before and after the add-back of nutrients is carried out. A focus is exploring the robustness of the system. The paper first describes a simple model of algal-bacterial growth and analysis is undertaken. The effect of system parameters and control mechanisms is quantified. Motivated by the inherent switching action within the biology, a sliding mode interpretation of the control mechanisms is hypothesized based on knowledge of the maximum carrying capacities for each growth. The results of a range of experiments reported in the literature are used to validate the assertions. |
Year | DOI | Venue |
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2018 | 10.23919/ECC.2018.8550593 | 2018 EUROPEAN CONTROL CONFERENCE (ECC) |
Field | DocType | Citations |
Lobomonas rostrata,Biological system,Riboswitch,Robustness (computer science),Mathematical model,Mesorhizobium loti | Conference | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
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Mohammad Abbadi | 1 | 0 | 0.34 |
sarah k spurgeon | 2 | 724 | 71.21 |