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

  • Published In: Mathematical Modelling of Natural Phenomena, 2023, v. 18. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: PIERRE, CHARLES; VALLET, GUY 3 of 3

Abstract

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 Acquitaine 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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Modelling of Natural Phenomena. 2023/01, Vol. 18, p1
  • Document Type:Article
  • Subject Area:Ethnic and Cultural Studies
  • Publication Date:2023
  • ISSN:0973-5348
  • DOI:10.1051/mmnp/2023040
  • Accession Number:174787719
  • Copyright Statement:Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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