Optimal control of a bioreactor

The consumption of probiotics is widely encouraged due to reports of their positive effects on human health. In particular, Lacticaseibacillus rhamnosus strain GG (LGG) is an approved probiotic that has been reported to improve health outcomes, especially for gastrointestinal disorders. However, how LGG cooperates with the gut microbiome has not been fully explored. To understand the interaction between LGG and its ability to survive and grow within the gut microbiome, this study introduced LGG into established microbial communities using an in vitro model of the colon. LGG was inoculated into the simulated ascending colon and its persistence in, and transit through the subsequent transverse and descending colon regions was monitored over two weeks. The impact of LGG on the existing bacterial communities was investigated using 16S rRNA sequencing and short-chain fatty acid analysis. LGG was able to engraft and proliferate in the ascending region for at least 10 days but was diminished in the transverse and descending colon regions with little effect on short-chain fatty acid abundance. These data suggest that the health benefits of the probiotic LGG rely on its ability to transiently engraft and modulate the host microbial community.

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“…By the mean-value theorem [ 35 ], we have:

where

for some

, and the constant m is cancelled. The equation for the content in a bioreactor is:

…”

Section: Resultsmentioning

confidence: 99%

Persistence of the Probiotic Lacticaseibacillus rhamnosus Strain GG (LGG) in an In Vitro Model of the Gut Microbiome

Mahalak

Firrman

Bobokalonov

et al. 2022

IJMS

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“…The source term, e.g., the external load of nutrients into MCS, is usually modeled as a corresponding boundary condition. However, in order to (i) simplify the analytic study of the optimal solution existence, see [ 19 ], and (ii) respect that the location of discharge of some material could be inside the domain Ω , we employed the particular form of ( 1 ). The initial condition and boundary condition (impermeability of the domain boundary, e.g., PBR walls) are following: …”

Section: Methodsmentioning

confidence: 99%

Advanced integration of fluid dynamics and photosynthetic reaction kinetics for microalgae culture systems

2018

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BackgroundPhotosynthetic microalgae have been in the spotlight of biotechnological production (biofuels, lipids, etc), however, current barriers in mass cultivation of microalgae are limiting its successful industrialization. Therefore, a mathematical model integrating both the biological and hydrodynamical parts of the cultivation process may improve our understanding of relevant phenomena, leading to further optimization of the microalgae cultivation.ResultsWe introduce a unified multidisciplinary simulation tool for microalgae culture systems, particularly the photobioreactors. Our approach describes changes of cell growth determined by dynamics of heterogeneous environmental conditions such as irradiation and mixing of the culture. Presented framework consists of (i) a simplified model of microalgae growth in a culture system (the advection-diffusion-reaction system within a phenomenological model of photosynthesis and photoinhibition), (ii) the fluid dynamics (Navier-Stokes equations), and (iii) the irradiance field description (Beer-Lambert law). To validate the method, a simple case study leading to hydrodynamically induced fluctuating light conditions was chosen. The integration of computational fluid dynamics (ANSYS Fluent) revealed the inner property of the system, the flashing light enhancement phenomenon, known from experiments.ConclusionOur physically accurate model of microalgae culture naturally exhibits features of real system, can be applied to any geometry of microalgae mass cultivation and thus is suitable for biotechnological applications.

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“…However, in order to further simplify the analytical study of the existence of an optimal solution, cf. [2], and respecting that the location of discharge of some material could be inside the domain Ω, we prefer the above form (1).…”

Section: State Modelmentioning

confidence: 99%

Modeling and Optimization of Microalgae Growth in Photobioreactors: A Multidisciplinary Problem

Papáček

Jablonský

Petera

et al. 2015

ISCS 2014: Interdisciplinary Symposium on Complex Systems

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Abstract. Microalgae have the potential to be a major biofuel source in the future. Computational biology plays a key role in understanding biological processes within microalgae and optimizing biofuel production. Here, we present a multidisciplinary, multi-timescale modeling approach of microalgae growth in photobioreactors. Our modeling framework bridges biology (cell growth), physics (hydrodynamics and light distribution), and optimization together. This framework consists of (i) the state system (mass balance equations in form of advectiondiffusion-reaction PDEs), (ii) the fluid flow equations (the Navier-Stokes equations), and (iii) the optimization problem formulation. The modeling and optimization of microalgae growth in a Couette-Taylor reactor is presented to demonstrate this method. We show how the flashing light effect can be an intrinsic part of the model. Finally, we discuss further methodological integration with the metabolomic-transcriptomic kinetic model, which explains cellular concentrations of key metabolites in connection with cell growth.

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Optimal control of a bioreactor

Cited by 11 publications

References 15 publications

Persistence of the Probiotic Lacticaseibacillus rhamnosus Strain GG (LGG) in an In Vitro Model of the Gut Microbiome

Persistence of the Probiotic Lacticaseibacillus rhamnosus Strain GG (LGG) in an In Vitro Model of the Gut Microbiome

Advanced integration of fluid dynamics and photosynthetic reaction kinetics for microalgae culture systems

Modeling and Optimization of Microalgae Growth in Photobioreactors: A Multidisciplinary Problem

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