The theory of the chemostat: dynamics of microbial competition
The chemostat is a basic piece of laboratory apparatus, yet it has occupied 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 bi...
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| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
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| Schriftenreihe: | Cambridge studies in mathematical biology
13 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511530043 https://doi.org/10.1017/CBO9780511530043 https://doi.org/10.1017/CBO9780511530043 https://doi.org/10.1017/CBO9780511530043 |
| Zusammenfassung: | The chemostat is a basic piece of laboratory apparatus, yet it has occupied 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. Models which take account of size structure, variable yields, and diffusion are also considered. The basic phenomena are modelled and analysed using the dynamical systems approach. Directions for research and open problems are discussed. Six appendices provide an elementary description of the necessary mathematical tools. Teachers, researchers, and students in applied mathematics, chemical engineering and ecology will find this book a welcome resource |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 online resource (xvi, 313 pages) |
| ISBN: | 9780511530043 |
| DOI: | 10.1017/CBO9780511530043 |
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| 520 | |a The chemostat is a basic piece of laboratory apparatus, yet it has occupied 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. Models which take account of size structure, variable yields, and diffusion are also considered. The basic phenomena are modelled and analysed using the dynamical systems approach. Directions for research and open problems are discussed. Six appendices provide an elementary description of the necessary mathematical tools. Teachers, researchers, and students in applied mathematics, chemical engineering and ecology will find this book a welcome resource | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Smith, Hal L. 1947- Waltman, Paul E. |
| author_GND | (DE-588)111530326 (DE-588)1203408153 |
| author_facet | Smith, Hal L. 1947- Waltman, Paul E. |
| author_role | aut aut |
| author_sort | Smith, Hal L. 1947- |
| author_variant | h l s hl hls p e w pe pew |
| building | Verbundindex |
| bvnumber | BV043942208 |
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| collection | ZDB-20-CBO |
| contents | The simple chemostat -- The general chemostat -- Competition on three trophic levels -- The chemostat with an inhibitor -- The simple gradostat -- The general gradostat -- The chemostat with periodic washout rate -- Variable-yield models -- A size-structured competition model -- New directions -- Open questions |
| ctrlnum | (ZDB-20-CBO)CR9780511530043 (OCoLC)849922975 (DE-599)BVBBV043942208 |
| dewey-full | 576/.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 576 - Genetics and evolution |
| dewey-raw | 576/.15 |
| dewey-search | 576/.15 |
| dewey-sort | 3576 215 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| doi_str_mv | 10.1017/CBO9780511530043 |
| format | Electronic eBook |
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| id | DE-604.BV043942208 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:18Z |
| institution | BVB |
| isbn | 9780511530043 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351177 |
| oclc_num | 849922975 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-703 DE-92 |
| physical | 1 online resource (xvi, 313 pages) |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in mathematical biology |
| spelling | Smith, Hal L. 1947- Verfasser (DE-588)111530326 aut The theory of the chemostat dynamics of microbial competition Hal L. Smith, Paul Waltman Cambridge Cambridge University Press 1995 1 online resource (xvi, 313 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in mathematical biology 13 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The simple chemostat -- The general chemostat -- Competition on three trophic levels -- The chemostat with an inhibitor -- The simple gradostat -- The general gradostat -- The chemostat with periodic washout rate -- Variable-yield models -- A size-structured competition model -- New directions -- Open questions The chemostat is a basic piece of laboratory apparatus, yet it has occupied 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. Models which take account of size structure, variable yields, and diffusion are also considered. The basic phenomena are modelled and analysed using the dynamical systems approach. Directions for research and open problems are discussed. Six appendices provide an elementary description of the necessary mathematical tools. Teachers, researchers, and students in applied mathematics, chemical engineering and ecology will find this book a welcome resource Mathematisches Modell Microbial growth / Mathematical models Chemostat Microbial ecology / Mathematical models Theorie (DE-588)4059787-8 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Chemostat (DE-588)4310032-6 gnd rswk-swf Mikrobiologie (DE-588)4316357-9 gnd rswk-swf Mikrobiologie (DE-588)4316357-9 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Chemostat (DE-588)4310032-6 s Theorie (DE-588)4059787-8 s 2\p DE-604 Waltman, Paul E. Verfasser (DE-588)1203408153 aut Erscheint auch als Druckausgabe 978-0-521-06734-8 Erscheint auch als Druckausgabe 978-0-521-47027-8 https://doi.org/10.1017/CBO9780511530043 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Smith, Hal L. 1947- Waltman, Paul E. The theory of the chemostat dynamics of microbial competition The simple chemostat -- The general chemostat -- Competition on three trophic levels -- The chemostat with an inhibitor -- The simple gradostat -- The general gradostat -- The chemostat with periodic washout rate -- Variable-yield models -- A size-structured competition model -- New directions -- Open questions Mathematisches Modell Microbial growth / Mathematical models Chemostat Microbial ecology / Mathematical models Theorie (DE-588)4059787-8 gnd Mathematische Methode (DE-588)4155620-3 gnd Chemostat (DE-588)4310032-6 gnd Mikrobiologie (DE-588)4316357-9 gnd |
| subject_GND | (DE-588)4059787-8 (DE-588)4155620-3 (DE-588)4310032-6 (DE-588)4316357-9 |
| title | The theory of the chemostat dynamics of microbial competition |
| title_auth | The theory of the chemostat dynamics of microbial competition |
| title_exact_search | The theory of the chemostat dynamics of microbial competition |
| title_full | The theory of the chemostat dynamics of microbial competition Hal L. Smith, Paul Waltman |
| title_fullStr | The theory of the chemostat dynamics of microbial competition Hal L. Smith, Paul Waltman |
| title_full_unstemmed | The theory of the chemostat dynamics of microbial competition Hal L. Smith, Paul Waltman |
| title_short | The theory of the chemostat |
| title_sort | the theory of the chemostat dynamics of microbial competition |
| title_sub | dynamics of microbial competition |
| topic | Mathematisches Modell Microbial growth / Mathematical models Chemostat Microbial ecology / Mathematical models Theorie (DE-588)4059787-8 gnd Mathematische Methode (DE-588)4155620-3 gnd Chemostat (DE-588)4310032-6 gnd Mikrobiologie (DE-588)4316357-9 gnd |
| topic_facet | Mathematisches Modell Microbial growth / Mathematical models Chemostat Microbial ecology / Mathematical models Theorie Mathematische Methode Mikrobiologie |
| url | https://doi.org/10.1017/CBO9780511530043 |
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