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:在本文中,我们有兴趣在养分限制的限制下,模拟用蛋白生产粘液的模型; 最初的质问来自对“liga”的观察; 现象的生物起源是根据现有的垃圾学来介绍和讨论的。 提出了一个数学模型,其理论特性得到了解析: 模型参数的准确性和差异性。 最后, 提供了数字实验, 调查了使用化学式实验为模型确定参数的可能性。</s>