In this paper we are interested in modeling the production of mucus by diatoms under the constraint of a nutrient limitation. 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 litterature.A mathematical model 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.

翻译：本文旨在研究硅藻在营养盐限制条件下产生黏液的建模问题。研究的初始动机源于对阿基坦海岸所谓“liga”现象的观测。基于现有文献，本文呈现并讨论了该现象的生物学成因。我们提出了一个数学模型，并分析了其理论性质：适定性以及关于模型参数的可微性。最后，通过数值实验，探究了利用恒化器类实验对模型进行参数识别的可能性。