Download or read book The Theory of the Chemostat written by Hal L. Smith and published by Cambridge University Press. This book was released on 1995-01-27 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.
Download or read book The Theory of the Chemostat written by Hal L. Smith and published by Cambridge University Press. This book was released on 2008-06-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chemostat is a basic piece of laboratory apparatus, yet it has begun to occupy an increasingly central role in ecological studies. The ecological environment created by a chemostat is one of the few completely controlled experimental systems for testing microbial growth and competition. As a tool in biotechnology, the chemostat plays an important role in bioprocessing. This book presents the theory of the chemostat as a model for larger ecological problems such as food chains, competition along a gradient, competition in the presence of an inhibitor, and the effects of time varying inputs. Mathematical models that take account of size structure, variable yields, and diffusion are also considered. The basic phenomena are modeled and analyzed using the dynamical systems approach. New directions for research and open problems are discussed. Six appendices provide an elementary description of the necessary mathematical tools.
Download or read book Dynamics of the Chemostat written by Abdelhamid Ajbar and published by CRC Press. This book was released on 2011-08-09 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these issues. Based on the authors’ extensive work in this field, Dynamics of the Chemostat: A Bifurcation Theory Approach explores the use of bifurcation theory to analyze the static and dynamic behavior of the chemostat. Introduction The authors first survey the major work that has been carried out on the stability of continuous bioreactors. They next present the modeling approaches used for bioreactive systems, the different kinetic expressions for growth rates, and tools, such as multiplicity, bifurcation, and singularity theory, for analyzing nonlinear systems. Application The text moves on to the static and dynamic behavior of the basic unstructured model of the chemostat for constant and variable yield coefficients as well as in the presence of wall attachment. It then covers the dynamics of interacting species, including pure and simple microbial competition, biodegradation of mixed substrates, dynamics of plasmid-bearing and plasmid-free recombinant cultures, and dynamics of predator–prey interactions. The authors also examine dynamics of the chemostat with product formation for various growth models, provide examples of bifurcation theory for studying the operability and dynamics of continuous bioreactor models, and apply elementary concepts of bifurcation theory to analyze the dynamics of a periodically forced bioreactor. Using singularity theory and bifurcation techniques, this book presents a cohesive mathematical framework for analyzing and modeling the macro- and microscopic interactions occurring in chemostats. The text includes models that describe the intracellular and operating elements of the bioreactive system. It also explains the mathematical theory behind the models.
Download or read book The Chemostat written by Jérôme Harmand and published by John Wiley & Sons. This book was released on 2017-07-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow. This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in theoretical ecology and population dynamics. Through a modeling approach, the hypotheses and conclusions drawn from the main mathematical results are analyzed and interpreted from a critical perspective. A large emphasis is placed on numerical simulations of which prudent use is advocated. The Chemostat is aimed at readers possessing degree-level mathematical knowledge and includes a detailed appendix of differential equations relating to specific notions and results used throughout this book.
Download or read book The Chemostat written by Jérôme Harmand and published by John Wiley & Sons. This book was released on 2017-08-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow. This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in theoretical ecology and population dynamics. Through a modeling approach, the hypotheses and conclusions drawn from the main mathematical results are analyzed and interpreted from a critical perspective. A large emphasis is placed on numerical simulations of which prudent use is advocated. The Chemostat is aimed at readers possessing degree-level mathematical knowledge and includes a detailed appendix of differential equations relating to specific notions and results used throughout this book.
Download or read book Dynamics of the Chemostat written by Abdelhamid Ajbar and published by CRC Press. This book was released on 2011-08-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these issues. Based on the authors' extensive work in this
Download or read book The Dynamics of Bacterial Populations Maintained in the Chemostat written by Hermann Moser and published by . This book was released on 1958 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polymicrobial Diseases written by Kim A. Brogden and published by . This book was released on 2002 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymicrobial diseases, those involving more than one etiologic agent, are more common than is generally realized and include respiratory diseases, gastroenteritis, conjunctivitis, keratitis, hepatitis, periodontal diseases, multiple sclerosis, genital infections, intra -- abdominal infections, and pertussis.
Download or read book Phage Engineering and Analysis written by Huan Peng and published by Springer Nature. This book was released on with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling Dynamic Phenomena in Molecular and Cellular Biology written by Lee A. Segel and published by Cambridge University Press. This book was released on 1984-03-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.
Download or read book Studies with the Chemostat on the Regulation of Metabolism in Bacillus Subtilis written by Jean (Baschnagel) DePamphilis and published by . This book was released on 1968 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Polyphasic Dispersed Systems Theory written by Jacques Thierie and published by Springer. This book was released on 2015-12-30 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new paradigm in system description and modelling. The author shows the theoretical and practical successes of his approach, which involves replacing a traditional uniform description with a polyphasic description. This change of perspective reveals new fluxes that are cryptic in the classical description. Several case studies are given in this book, which is of interest of those working with biotechnology and green chemistry.
Download or read book Plankton Regulation Dynamics written by Norbert Walz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous cultures, i.e. chemostats with an continuous dilution rate, are model ecosystems for the study of general regulation principles in plankton communities. Further to an introduction, general continuous culture methods and especially the characteristics of rotifer continuousculture systems are presented. Sections on metabolism and energetics in chemostats, growth models, competition and predator-prey interactions, as well as the application of rotifer continuous cultures to ecotoxicology and their use in aquaculture are included.
Download or read book Introduction to Mathematical Biology written by Ching Shan Chou and published by Springer. This book was released on 2016-04-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
Download or read book Time Lags in Biological Models written by N. MacDonald and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many biological models it is necessary to allow the rates of change of the variables to depend on the past history, rather than only the current values, of the variables. The models may require discrete lags, with the use of delay-differential equations, or distributed lags, with the use of integro-differential equations. In these lecture notes I discuss the reasons for including lags, especially distributed lags, in biological models. These reasons may be inherent in the system studied, or may be the result of simplifying assumptions made in the model used. I examine some of the techniques available for studying the solution of the equations. A large proportion of the material presented relates to a special method that can be applied to a particular class of distributed lags. This method uses an extended set of ordinary differential equations. I examine the local stability of equilibrium points, and the existence and frequency of periodic solutions. I discuss the qualitative effects of lags, and how these differ according to the choice of discrete or distributed lag. The models studied are drawn from the population dynamiCS of single species (logistic growth, the chemostat) and of interacting pairs of species (predation, mutualism), from cell population dynamiCS (haemopoiesis) and from biochemical kinetics (the Goodwin oscillator). The last chapter is devoted to a population model employing difference equations. All these models include non-linear terms.
Download or read book Understanding the Gut Microbiota written by Gerald W. Tannock and published by John Wiley & Sons. This book was released on 2017-03-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the community of microbial species (the microbiota, microbiome), which inhabits the large bowel of humans. Written from the perspective of an academic who has been familiar with the topic for 40 years, it provides a long-term perspective of knowledge about this high profile and fast-moving topic. Building on general ecological principles, the book aims to help the reader to understand how the microbiota is formed, how it works, and what the consequences are to humans. Understanding the Gut Microbiota focuses on conceptual progress made from studies of the human bowel microbiota. Where appropriate, it draws on knowledge obtained from other animal species to provide conceptual enlightenment, but this is essentially a book about humans and their bowel microbes. Particular research approaches are recommended to fill knowledge gaps so that fundamental ecological theory and information about the microbiota can be translated into benefits for human health. The relationship between food for humans and resulting food for bowel bacteria emerges as an important topic for consideration. This concise scholarly treatise of the microbiota of the human bowel will be of great interest and use as a text and reference work for professionals, teachers and students across a wide range of disciplines, including the health sciences, general biology, and food science and technology. The provision of handy ‘explanation of terms’ means that those with a general interest in science can also read the book with enjoyment.
Download or read book Geomicrobiology written by Henry Lutz Ehrlich and published by CRC Press. This book was released on 2008-12-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncovers the Key Role Microbes Play in the Transformation of Oxidizable and Reducible MineralsMany areas of geomicrobial processes are receiving serious attention from microbiologists, specifically the role microbes play in the formation and degradation of minerals and fossil fuels and elemental cycling. Most notably, the latest research finds that
