Download or read book Mathematical Modeling of Biofilms written by IWA Task Group on Biofilm Modeling and published by IWA Publishing. This book was released on 2006-04-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 90% of bacterial biomass exists in the form of biofilms. The ability of bacteria to attach to surfaces and to form biofilms often is an important competitive advantage for them over bacteria growing in suspension. Some biofilms are "good" in natural and engineered systems; they are responsible for nutrient cycling in nature and are used to purify waters in engineering processes. Other biofilms are "bad" when they cause fouling and infections of humans and plants. Whether we want to promote good biofilms or eliminate bad biofilms, we need to understand how they work and what works to control them. Mathematical Modeling of Biofilms provides guidelines for the selection and use of mathematical models of biofilms. The whole range of existing models - from simple analytical expressions to complex numerical models - is covered. The application of the models for the solution of typical problems is demonstrated, and the performance of the models is tested in comparative studies. With the dramatic evolution of the computational capacity still going on, modeling tools for research and practice will become more and more significant in the next few years. This report provides the foundation to understand the models and to select the most appropriate one for a given use. Mathematical Modeling of Biofilms gives a state-of-the-art overview that is especially valuable for educating students, new biofilm researchers, and design engineers. Through a series of three benchmark problems, the report demonstrates how to use the different models and indicates when simple or highly complex models are most appropriate. This is the first report to give a quantitative comparison of existing biofilm models. The report supports model-based design of biofilm reactors. The report can be used as basis for teaching biofilm-system modeling. The report provides the foundation for researchers seeking to use biofilm modeling or to develop new biofilm models. Scientific and Technical Report No.18
Download or read book Advanced Methods and Mathematical Modeling of Biofilms written by Mojtaba Aghajani Delavar and published by Academic Press. This book was released on 2022-05-14 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematical Modelling of Biofilms and its Applications covers the concepts and fundamentals of biofilms, including sections on numerical discrete and numerical continuum models and different biofilms methods, e.g., the lattice Boltzmann method (LBM) and cellular automata (CA) and integrated LBM and individual-based model (iBM). Other sections focus on design, problem-solving and state-of-the-art modelling methods. Addressing the needs to upgrade and update information and knowledge for students, researchers and engineers on biofilms in health care, medicine, food, aquaculture and industry, this book also covers areas of uncertainty and future needs for advancing the use of biofilm models. Over the past 25-30 years, there have been rapid advances in various areas of computer technologies, applications and methods (e.g. complex programming and algorithms, lattice Boltzmann method, high resolution visualization and high-performance computation). These new and emerging technologies are providing unprecedented opportunities to develop modeling frameworks of biofilms and their applications. Introduces state-of-the-art methods of biofilm modeling, such as integrated lattice Boltzmann method (LBM) and cellular automata (CA) and integrated LBM and individual-based model (iBM) Provides recent progress in more powerful tools for a deeper understanding of biofilm complexity by implementing state-of-the art biofilm modeling programs Compares advantages and disadvantages of different biofilm models and analyzes some specific problems for model selection Evaluates novel process designs without the cost, time and risk of building a physical prototype of the process to identify the most promising designs for experimental testing
Download or read book On the Mathematical Modeling of Biofilms written by Volker Hösel and published by . This book was released on 1999 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Microbial Communication written by Sarangam Majumdar and published by Springer Nature. This book was released on 2020-09-15 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concept of bacterial communication systems from a mathematical modeling point of view. It sheds light on the research undertaken in the last three decades, and the mathematical models that have been proposed to understand the underlying mechanism of such systems. These communication systems are related to quorum sensing mechanisms and quorum sensing regulated processes such as biofilm formation, gene expression, bioluminescence, swarming and virulence. The book further describes the phenomenon of noise, and discusses how noise plays a crucial role in gene expression and the quorum sensing circuit operationusing a set of tools like frequency domain analysis, power spectral density, stochastic simulation and the whitening effect. It also explores various aspects of synthetic biology (related to bacterial communication), such as genetic toggle switch, bistable gene regulatory networks, transcriptional repressor systems, pattern formation, synthetic cooperation, predator-prey synthetic systems, dynamical quorum sensing, synchronized quorum of genetic clocks, role of noise in synthetic biology, the Turing test and stochastic Turing test.
Download or read book Mathematical Modeling in Microbial Ecology written by A.L. Koch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Chapman & Hall Microbiology Series this unique resource offers specific experimental and practical applications of mathematical modeling in microbial ecology. The text presents a variety of systems, ranging from subcellular systems to ecosystems, and shows how to test whether the models provide a good representation of the system. The book also encourages further development and application of modeling to burgeoning problems associated with microbial ecology, such as the pollution and destruction of pesticides and herbicides.
Download or read book Mathematical Modeling of Biofilms written by Erik Alpkvist and published by . This book was released on 2006 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modeling of Biofilm Thickness in a Membrane Aerated Biofilm Reactor written by Woochul Jung and published by . This book was released on 2010 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modeling Helps to Characterize Internally Triggered Biofilm Cell Disprsal written by Blessing O. Emerenini and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analytic synthetic Approach Combining Mathematical Modeling and Experiments Towards an Understanding of Biofilm Systems written by Roland Bernhard Möhle and published by . This book was released on 2008 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Microbial Biofilms written by Hilary M. Lappin-Scott and published by Cambridge University Press. This book was released on 2003-09-18 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biochemistry and ecology of biofilms from industrial, medical and other viewpoints.
Download or read book A Mathematical Model of Biofilm Growth and Decay written by David Aziz Nassar and published by . This book was released on 2009 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A biofilm is a community of microorganisms embedded in a matrix of proteins, nucleic acids, and polysaccharides. It has been noted that bacteria growing in biofilm conditions are much more resistant to antimicrobials than those bacteria growing in non-biofilm conditions. This paper describes a mathematical model of biofilm growth and decay. The model includes a set of reaction-diffusion equations used to describe the movement of soluble components of the biofilm such as nutrients and antimicrobial agents, and a set of population equations for the description of the particulate components of the biofilm such as forms of bacteria and the component providing structure to the biofilm known as extracellular polymeric substance (EPS). The aim of this paper is to describe a two-dimensional model and the subsequent assumptions made to reduce and solve it as a one-dimensional model. The one-dimensional model that results will be solved using ordinary differential equation solution techniques. From this simplified model, it has been shown that topical treatment with antimicrobial as well as nanosphere delivery for antimicrobial are effective treatment options. Moreover, the modelled mechanism of resistance for bacteria growing in biofilms, 'persister' bacteria, was observed. Living bacteria growing with high initial persister populations showed less growth than those living bacteria growing with low initial persister populations. The parametric study between the [rate of formation of persisters and rate of reversion to living bacteria] shows that change in these values affects bacterial population sizes, but does not seriously affect the minimum inhibitory concentration (MIC) of the antimicrobial. In conclusion, a summary for calculating proper dosage levels of antimicrobial with nanosphere delivery is performed showing the application of the model to drug-testing."--Abstract.
Download or read book Mathematical Modeling Simulation and Analysis of Metabolic Oscillations in Bacillus Subtilis Biofilms written by Ravindra Garde and published by . This book was released on 2020* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metabolic oscillations in biofilms of Bacillus subtilis have been reported as periodic halting of growth in the expansion of the colony growing in a microfluidics chamber by Liu et al (2015). This thesis is aimed at understanding these oscillations through minimal dynamic model involving three ordinary differential equations (ODEs). The model is first applied in its basic form in order to describe the oscillations. Next, various modifications of the model are discussed in detail and the results of each modification are viewed in light of the underlying biology. The four modifications investigate the mechanism of oscillations with respect to spatial effects, reversible reactions and more robust reaction kinetics. Finally, we apply the minimal model in a broader perspective in order to understand population dynamics in a typical community of a social organism. We consider three interacting subpopulations of a species that have their own distinct phenotypes. None of the subpopulations have an absolute advantage over the other two. This gives rise to cyclic dynamics like the rock paper scissors game which is analysed using evolutionary game theory. We also present an asymmetrical two-player two- strategy game describing the same system, where the phenotype of each subpopulation is considered as a strategy. This investigation tests the ideal strategies for three different levels of antibiotic stress. We observe bet-hedging in the form of production of resistant cells which are a costly choice in the absence of the antibiotic stress. Although the population dynamics study is described with a broad range of applicability, we also discuss its applications in the B. subtilis biofilm.
Download or read book Fundamentals of Biofilm Research Second Edition written by Zbigniew Lewandowski and published by CRC Press. This book was released on 2013-12-16 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six years that have passed since the publication of the first edition have brought significant advances in both biofilm research and biofilm engineering, which have matured to the extent that biofilm-based technologies are now being designed and implemented. As a result, many chapters have been updated and expanded with the addition of sections reflecting changes in the status quo in biofilm research and engineering. Emphasizing process analysis, engineering systems, biofilm applications, and mathematical modeling, Fundamentals of Biofilm Research, Second Edition provides the tools to unify and advance biofilm research as a whole. Retaining the goals of the first edition, this second edition serves as: A compendium of knowledge about biofilms and biofilm processes A set of instructions for designing and conducting biofilm experiments A set of instructions for making and using various tools useful in biofilm research A set of computational procedures useful in interpreting results of biofilm research A set of instructions for using the model of stratified biofilms for data interpretation, analysis, and biofilm activity prediction
Download or read book Mathematical Modelling of Quorum Sensing in Biofilms written by Mallory Rose Frederick and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Modelling of Multispecies Biofilms for Wastewater Treatment written by Maria Rosaria Mattei and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation relates to the applications of a one-dimensional mathematical model for multispecies biofilm formation and growth. The model consists of a system of nonlinear hyperbolic partial differential equations, describing the growth of microbial species in biofilms, and a system of semilinear parabolic partial differential equations, which governs substrate diffusion from the surrounding aqueous phase into the biofilm. Overall, this leads to a free boundary value problem, essentially hyperbolic. In a first study, the analysis and simulations of the initial phase of biofilm growth have been addressed. The resulting mathematical problem has been discussed by using the method of characteristics and the fixed-point theorem has been used to obtain existence, uniqueness and properties of solutions. A second aspect of the thesis deals with the analysis and prediction of population dynamics in multispecies biofilms for wastewater treatment. The model has been applied to simulate the bacterial competition and to evaluate the influence of substrate diffusion on microbial stratification for a nitrifying multispecies biofilm including Anammox bacteria and a sulfate-reducing biofilm. In both cases, the method of characteristics has been used for numerical purposes and the mass conservation equation plays a crucial role in checking the accuracy of simulations. The simulation results reveal that the model is able to evaluate properly the effects that boundary conditions exert on bacterial competition. Finally, the biofilm model has been extended to include the colonization phenomenon. The new model is able to take into account the invasion of new species diffusing from bulk liquid to biofilm, still based on a set of nonlinear hyperbolic partial differential equations for what concerns growth process. Indeed, the biological invasion process of new species into the biofilm has been modeled by a system of nonlinear parabolic partial differential equations. The invasion model has been successfully applied to simulate the invasion of heterotrophic bacteria in a constituted autotrophic biofilm and viceversa.
Download or read book Mathematical Modelling of Quorum Sensing in Biofilms written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Quorum sensing is a cell communication mechanism used to coordinate group behaviour based on population density. A mathematical model of quorum sensing in bacterial biofilms is developed, consisting of a nonlinear diffusion reaction system describing the effects of a growing biofilm on bacterial quorum sensing behaviour. In numerical experiments, the influence of the hydrodynamic environment and nutrient conditions on biofilm growth and quorum sensing behaviour are studied, and flow-facilitated inter-colony communication and spatiotemporal quorum sensing induction patterns are observed. The model is extended to include an impact of quorum sensing on biofilm growth, through the explicit description of EPS, the protective biomass layer surrounding bacterial biofilm cells. The circumstances under which quorum sensing-regulated EPS production is a beneficial strategy for cells are identified. Biofilm colonies that use this strategy have lower cell populations than non-quorum sensing colonies, but may secure nutrients in a space-limited environment and outcompete neighbouring colonies.
Download or read book Mathematical Modeling of Fluid Flow Contaminant Transport and Biofilm Growth in Porous Media written by Hristo V. Kojouharov and published by . This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
