Abbadi, M; Spurgeon, S; (2018) Growth Dynamics of Algal-bacterial Cocultures: A Control Engineering Perspective. In: 2018 European Control Conference (ECC). (pp. pp. 2344-2349). IEEE

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Abstract

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.

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