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Cambridge Studies in Mathematical Biology #13: The Theory of the Chemostat: Dynamics of Microbial Competition

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Cambridge Studies in Mathematical Biology #13: The Theory of the Chemostat: Dynamics of Microbial Competition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Basic modelling, analysis, and simulation of systems that have proven effective in real ecological applications.

Synopsis:

This book gives a theoretical treatment of the competition between different strains of micro-organisms consuming a single nutrient in a common laboratory device called a chemostat. Mathematical analysis using tools of dynamical systems leads to general and testable predictions of the behaviour of real ecological and biotechnology systems.

Synopsis:

Basic modelling, analysis, and simulation of systems that have proven effective in real ecological applications.

Description:

Includes bibliographical references (p. 299-307) and indexes.

Table of Contents

1. The simple chemostat; 2. The general chemostat; 3. Competition on three trophic levels; 4. The chemostat with an inhibitor; 5. The simple gradostat; 6. The general gradostat; 7. The chemostat with periodic washout rate; 8. Variable yield models; 9. A size-structured competition model; 10. New directions; 11. Open questions; Appendix A. Matrices and their eigenvalues; Appendix B. Differential inequalities; Appendix C. Monotone systems; Appendix D. Persistence; Appendix E. Some techniques in nonlinear analysis; Appendix F. A convergence theorem.

Product Details

ISBN:
9780521470278
Editor:
Smith, Hal L.
Editor:
Cannings, C.
Editor:
Waltman, Paul
Editor:
Cannings, C.
Author:
Smith, Hal L.
Author:
Cannings, C.
Author:
Waltman, Paul
Author:
Hoppensteadt, F. C.
Author:
Segel, L. A.
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
Evolution
Subject:
Applied
Subject:
Mathematical models
Subject:
Microbial ecology
Subject:
Microbial growth.
Subject:
Microbial growth -- Mathematical models.
Subject:
Chemostat.
Subject:
Microbial ecology -- Mathematical models.
Subject:
Life Sciences - Evolution
Subject:
Biology-Evolution
Series:
Cambridge studies in mathematical biology ;
Series Volume:
no. A-66913
Publication Date:
20030631
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
42 line diagrams 5 tables
Pages:
332
Dimensions:
9.31x6.30x.84 in. 1.30 lbs.

Related Subjects

Business » Accounting and Finance
Religion » Comparative Religion » General
Science and Mathematics » Biology » Evolution
Science and Mathematics » Biology » Microbiology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Biological Sciences

Cambridge Studies in Mathematical Biology #13: The Theory of the Chemostat: Dynamics of Microbial Competition New Hardcover
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$201.95 In Stock
Product details 332 pages Cambridge University Press - English 9780521470278 Reviews:
"Synopsis" by , Basic modelling, analysis, and simulation of systems that have proven effective in real ecological applications.
"Synopsis" by , This book gives a theoretical treatment of the competition between different strains of micro-organisms consuming a single nutrient in a common laboratory device called a chemostat. Mathematical analysis using tools of dynamical systems leads to general and testable predictions of the behaviour of real ecological and biotechnology systems.
"Synopsis" by , Basic modelling, analysis, and simulation of systems that have proven effective in real ecological applications.
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