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In this paper we are interested in modeling the production of mucus bydiatoms under the constraint of a nutrient limitation. The initial questioningcomes from the observation of the so-called ''liga'' on the Aquitaine coast.The biological origin of the phenomenon is presented and discussed based on theexisting litterature.A mathematical model is proposed and its theoreticalproperties are analized: well-posedness and differentiability with respect tothe model parameters.Finally, numerical experiments are provided, investigatingthe possibility of parameter identification for the model using chemostat-typeexperiments.

A mathematical model of marine mucilage, the case of the liga on the Basque coast