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In this paper, we study a well known two-step anaerobic digestion model in a configuration of two chemostats in series. This model is an eight-dimensional system of ordinary differential equations. Since the reaction system has a cascade…

动力系统 · 数学 2024-08-12 Thamer Hmidhi , Radhouane Fekih-Salem , Jérôme Harmand

A mathematical model for anaerobic digestion in plug-flow reactors is proposed on the basis of mass balance considerations. The model consists of a system of parabolic partial differential equations for the variables representing the…

生物物理 · 物理学 2021-11-10 D. B. Panaro , M. R. Mattei , G. Esposito , J. P. Steyer , F. Capone , L. Frunzo

We extend a three-stage anaerobic digestion model by incorporating microbial mortality into the hydrolysis of particulate organic matter. The model describes hydrolysis, acidogenesis, and methanogenesis, each with distinct dilution and…

动力系统 · 数学 2026-04-22 Radhouane Fekih-Salem

Anaerobic digestion (AD) offers a sustainable biotechnology to recover resources from carbon-rich wastewater, such as food-processing wastewater. Despite crude wastewater characterisation, the impact of detailed chemical fingerprinting on…

定量方法 · 定量生物学 2025-01-14 Ellen Piercy , Xinyang Sun , Peter R Ellis , Mark Taylor , Miao Guo

Ecological modelling of increasingly more complex microbial populations is necessary to reflect the highly functional and diverse behaviour inherent to many systems found in reality. Anaerobic digestion is one such process that has…

动力系统 · 数学 2015-08-24 Tewfik Sari , Matthew J. Wade

The incredible thermo-mechanical properties of biological materials arise from the microscopic scale due to a complex hierarchical mechanism, regulated by microinstabilities at the molecular level. The description of such complex structures…

生物物理 · 物理学 2022-10-26 Luca Bellino

We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number ("quantized"), with control of the dilution rate. The model is a…

最优化与控制 · 数学 2015-08-12 Francis Mairet , Jean-Luc Gouzé

The Anaerobic Digestion Model No. 1 (ADM1) is a complex model which is widely accepted as a common platform for anaerobic process modeling and simulation. However, it has a large number of parameters and states that hinder its analytical…

动力系统 · 数学 2020-04-30 Tewfik Sari , Boumediene Benyahia

This paper presents a benchmarking framework to evaluate process control strategies in outdoor microalgae raceway reactors, integrating four key control regulation tasks: pH, dissolved oxygen (DO), culture volume through coordinated…

系统与控制 · 电气工程与系统科学 2025-12-19 Enrique Rodríguez-Miranda , Pablo Otálora , José González-Hernández , José Luis Guzmán , Manuel Berenguel

The mathematical analysis of a three-tiered food-web describing anaerobic chlorophenol mineralisation has suggested the emergence of interesting dynamical behaviour through its specific ecological interactions, which include competition,…

动力系统 · 数学 2020-10-23 Szymon Sobieszek , Gail S. K. Wolkowicz , Matthew J. Wade

The issue of the stability of Pickering emulsions is tackled at a mesoscopic level using dissipative particle dynamics simulations within the Adiabatic Biased Molecular Dynamics framework. We consider the early stage of the coalescence…

软凝聚态物质 · 物理学 2017-02-08 François Sicard , Alberto Striolo

We discuss the interplay between a slow continuous drift of temperature, which induces continuous phase separation, and the non-linear diffusion term in the $\phi^4$-model for phase separation of a binary mixture. This leads to a bound for…

统计力学 · 物理学 2012-05-31 Juergen Vollmer

In this paper, we consider a flocculation model in a chemostat where one species is present in two forms: planktonic and aggregated bacteria with the presence of a single resource. The removal rates of isolated and attached bacteria are…

动力系统 · 数学 2023-12-08 Radhouane Fekih-Salem , Tewfik Sari

Anaerobic digestion enables the water industry to treat wastewater as a resource for generating energy and recovering valuable by-products. The complexity of the anaerobic digestion process has motivated the development of complex models.…

种群与进化 · 定量生物学 2015-03-06 M. J. Wade , R. W. Pattinson , N. G. Parker , J. Dolfing

In this paper we consider a model of a nutrient-prey-predator system in a chemostat with general functional responses, using the input concentration of nutrient as the bifurcation parameter. We study the changes in the existence of isolated…

动力系统 · 数学 2019-11-20 Mary Ballyk , Ibrahim Jawarneh , Ross Staffeldt

Recent efforts have focused on providing a systematic analysis of syntrophic microbial growth yields. These biokinetic parameters are key to developing an accurate mathematical description of the anaerobic digestion process. The agreement…

定量方法 · 定量生物学 2021-02-01 Helena Junicke

The high accuracy exhibited by biological information transcription processes is due to kinetic proofreading, i.e., by a mechanism which reduces the error rate of the information-handling process by driving it out of equilibrium. We provide…

统计力学 · 物理学 2015-06-18 Riccardo Rao , Luca Peliti

Kinetic proofreading mechanisms explain the extraordinary accuracy observed in central biological events in terms of the enhanced specificity of substrate selection networks under a nonequilibrium environment. The nonequilibrium steady…

适应与自组织系统 · 物理学 2022-06-29 Premashis Kumar , Kinshuk Banerjee , Gautam Gangopadhyay

We investigate a bifurcation of periodic instanton in Euclidean action-temperature diagram in quantum mechanical models. It is analytically shown that multiple zero modes of fluctuation operator should be arised at bifurcation points. This…

高能物理 - 理论 · 物理学 2009-10-31 Hyun-Soo Min , Hungsoo Kim , D. K. Park , Soo-Young Lee , Sahng-Kyoon Yoo , Dal-Ho Yoon

A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. The local and global stability analysis of the equilibria are…

动力系统 · 数学 2011-08-01 Tewfik Sari , Miled El Hajji , Jérôme Harmand
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