Geodesic
A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast
Charles Pierre1 ; Guy Vallet1
1 LMAP UMR- CNRS 5142, IPRA BP 1155, 64013 Pau Cedex, France
Mathematical modelling of natural phenomena, Tome 18 (2023), article no. 34.

Voir la notice de l'article provenant de la source EDP Sciences

In this paper, we are interested in modeling the production of mucus by diatoms under the constraint of a nutrient limitation and carbon overabundance. The initial questioning comes from the observation of the so-called “liga” on the Aquitaine coast. The biological origin of the phenomenon is presented and discussed based on the existing literature. An original mathematical model incorporating mucus secretion is proposed and its theoretical properties are analized: well-posedness and differentiability with respect to the model parameters. Finally, numerical experiments are provided, investigating the possibility of parameter identification for the model using chemostat-type experiments.
DOI : 10.1051/mmnp/2023040

Charles Pierre 1 ; Guy Vallet 1

1 LMAP UMR- CNRS 5142, IPRA BP 1155, 64013 Pau Cedex, France 
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Charles Pierre; Guy Vallet. A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast. Mathematical modelling of natural phenomena, Tome 18 (2023), article  no. 34. doi : 10.1051/mmnp/2023040. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2023040/

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