Bayen Térence, Gajardo Pedro
IMAG, Univ Montpellier, CNRS, Montpellier, France.
MISTEA, Univ Montpellier, INRA, Montpellier SupAgro, Montpellier, France.
J Math Biol. 2019 Mar;78(4):1067-1087. doi: 10.1007/s00285-018-1301-3. Epub 2018 Oct 17.
In this paper, we study the optimization problem of maximizing biogas production at steady state in a two-stage anaerobic digestion model, which was initially proposed in Bernard et al. (Biotechnol Bioeng 75(4):424-438, 2001). Nominal operating points, consisting of steady states where the involved microorganisms coexist, are usually referred to as desired operational conditions, in particular for maximizing biogas production. Nevertheless, we prove that under some conditions related to input substrate concentrations and microorganism biology, characterized by their growth functions, the optimal steady state can be the extinction of one of the two species. We provide some numerical examples of this situation.
在本文中，我们研究了两阶段厌氧消化模型中稳态下沼气产量最大化的优化问题，该模型最初由伯纳德等人提出（《生物技术与生物工程》，2001年，第75卷第4期，第424 - 438页）。由相关微生物共存的稳态组成的标称运行点通常被称为期望的运行条件，特别是为了使沼气产量最大化。然而，我们证明，在一些与输入底物浓度和微生物生物学相关的条件下，以它们的生长函数为特征，最优稳态可能是两个物种之一的灭绝。我们给出了这种情况的一些数值例子。
