Dynamics Of The Chemostat

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Dynamics of the Chemostat

Author : Abdelhamid Ajbar
Publisher : CRC Press
ISBN 13 : 1439867143
Total Pages : 370 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Dynamics of the Chemostat by : Abdelhamid Ajbar

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.

Dynamics of the Chemostat

Author : Abdelhamid Ajbar
Publisher : CRC Press
ISBN 13 : 143986716X
Total Pages : 366 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Dynamics of the Chemostat by : Abdelhamid Ajbar

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

The Theory of the Chemostat

Author : Hal L. Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521470278
Total Pages : 334 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis The Theory of the Chemostat by : Hal L. Smith

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.

The Chemostat

Author : Jérôme Harmand
Publisher : John Wiley & Sons
ISBN 13 : 1119437121
Total Pages : 246 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis The Chemostat by : Jérôme Harmand

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 246 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.

Dynamics and Chaotic Behavior of a Chemostat

Author : Hau Lin
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (253 download)

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Book Synopsis Dynamics and Chaotic Behavior of a Chemostat by : Hau Lin

Download or read book Dynamics and Chaotic Behavior of a Chemostat written by Hau Lin and published by . This book was released on 1989 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Bacterial Dynamics in Chemostats

Author : Chioma Frances Agatha Nnaji
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (948 download)

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Book Synopsis Modeling Bacterial Dynamics in Chemostats by : Chioma Frances Agatha Nnaji

Download or read book Modeling Bacterial Dynamics in Chemostats written by Chioma Frances Agatha Nnaji and published by . This book was released on 2015 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Dynamics of Bacterial Populations Maintained in the Chemostat

Author : Hermann Moser
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis The Dynamics of Bacterial Populations Maintained in the Chemostat by : Hermann Moser

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:

Plankton Regulation Dynamics

Author : Norbert Walz
Publisher : Springer Science & Business Media
ISBN 13 : 3642778046
Total Pages : 310 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Plankton Regulation Dynamics by : Norbert Walz

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.

Dynamic Models and Control of Biological Systems

Author : Vadrevu Sree Hari Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1441903593
Total Pages : 279 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Dynamic Models and Control of Biological Systems by : Vadrevu Sree Hari Rao

Download or read book Dynamic Models and Control of Biological Systems written by Vadrevu Sree Hari Rao and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.

Differential Equations and Control Theory

Author : Z. Deng
Publisher : CRC Press
ISBN 13 : 1000105326
Total Pages : 543 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Differential Equations and Control Theory by : Z. Deng

Download or read book Differential Equations and Control Theory written by Z. Deng and published by CRC Press. This book was released on 2020-11-25 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.

The Chemostat

Author : Jérôme Harmand
Publisher : John Wiley & Sons
ISBN 13 : 1119437199
Total Pages : 223 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis The Chemostat by : Jérôme Harmand

Download or read book The Chemostat written by Jérôme Harmand and published by John Wiley & Sons. This book was released on 2017-07-18 with total page 223 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.

Adaptive Diversification (MPB-48)

Author : Michael Doebeli
Publisher : Princeton University Press
ISBN 13 : 0691128944
Total Pages : 345 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Adaptive Diversification (MPB-48) by : Michael Doebeli

Download or read book Adaptive Diversification (MPB-48) written by Michael Doebeli and published by Princeton University Press. This book was released on 2011-08-21 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Adaptive biological diversification occurs when frequency-dependent selection generates advantages for rare phenotypes and induces a split of an ancestral lineage into multiple descendant lineages. Using adaptive dynamics theory, individual-based simulations, and partial differential equation models, this book illustrates that adaptive diversification due to frequency-dependent ecological interaction is a theoretically ubiquitous phenomenon"--Provided by publisher.

The Dynamics of Bacterial Populations Maintened in the Chemostat. Hermann Moser,...

Author : Hermann Moser
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.:/5 (459 download)

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Book Synopsis The Dynamics of Bacterial Populations Maintened in the Chemostat. Hermann Moser,... by : Hermann Moser

Download or read book The Dynamics of Bacterial Populations Maintened in the Chemostat. Hermann Moser,... written by Hermann Moser and published by . This book was released on 1958 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for Ecology and Environmental Sciences

Author : Yasuhiro Takeuchi
Publisher : Springer Science & Business Media
ISBN 13 : 3540344284
Total Pages : 189 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematics for Ecology and Environmental Sciences by : Yasuhiro Takeuchi

Download or read book Mathematics for Ecology and Environmental Sciences written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. It provides a fascinating survey of the theory of dynamical systems in ecology and environmental science. Each chapter introduces students and scholars to the state-of-the-art in an exciting area, presents new results, and inspires future contributions to mathematical modeling in ecology and environmental sciences.

Dynamical Systems in Population Biology

Author : Xiao-Qiang Zhao
Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Partial Differential Equations in Ecology

Author : Sergei Petrovski
Publisher : MDPI
ISBN 13 : 3036502963
Total Pages : 238 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Partial Differential Equations in Ecology by : Sergei Petrovski

Download or read book Partial Differential Equations in Ecology written by Sergei Petrovski and published by MDPI. This book was released on 2021-03-17 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.

Dynamic Energy Budget Theory for Metabolic Organisation

Author : S. A. L. M. Kooijman
Publisher : Cambridge University Press
ISBN 13 : 052113191X
Total Pages : 533 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Dynamic Energy Budget Theory for Metabolic Organisation by : S. A. L. M. Kooijman

Download or read book Dynamic Energy Budget Theory for Metabolic Organisation written by S. A. L. M. Kooijman and published by Cambridge University Press. This book was released on 2010 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dynamic Energy Budget theory unifies the commonalities between organisms and links different levels of biological organisation.