A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast

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 presen...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2023, Vol.18, p.34
Main Authors: Pierre, Charles, Vallet, Guy
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/2023040