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Time delay in simple chemostat models
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| Zeitschriftentitel: | Biotechnology and Bioengineering |
|---|---|
| Personen und Körperschaften: | |
| In: | Biotechnology and Bioengineering, 18, 1976, 6, S. 805-812 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
Macdonald, N. Macdonald, N. |
|---|---|
| author |
Macdonald, N. |
| spellingShingle |
Macdonald, N. Biotechnology and Bioengineering Time delay in simple chemostat models Applied Microbiology and Biotechnology Bioengineering Biotechnology |
| author_sort |
macdonald, n. |
| spelling |
Macdonald, N. 0006-3592 1097-0290 Wiley Applied Microbiology and Biotechnology Bioengineering Biotechnology http://dx.doi.org/10.1002/bit.260180604 <jats:title>Abstract</jats:title><jats:p>The models of Monod and Williams, for the growth of unicellular organisms in chemostats, give strongly damped transients in the biomass and cell number when the flow rate of the chemostat is changed. A simple trick is used to incorporate time delay in these models while still allowing a conventional stability analysis. For long enough time delays the equilibrium point is unstable and limit cycles can be computed. Results obtained using Williams' model, with weakly damped transients as a result of using moderately long time delay, are compared with his data in which cell numbers show weak damping but biomass shows strong damping.</jats:p> Time delay in simple chemostat models Biotechnology and Bioengineering |
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10.1002/bit.260180604 |
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Wiley, 1976 |
| imprint_str_mv |
Wiley, 1976 |
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0006-3592 1097-0290 |
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0006-3592 1097-0290 |
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English |
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1976 |
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Biotechnology and Bioengineering |
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49 |
| title |
Time delay in simple chemostat models |
| title_unstemmed |
Time delay in simple chemostat models |
| title_full |
Time delay in simple chemostat models |
| title_fullStr |
Time delay in simple chemostat models |
| title_full_unstemmed |
Time delay in simple chemostat models |
| title_short |
Time delay in simple chemostat models |
| title_sort |
time delay in simple chemostat models |
| topic |
Applied Microbiology and Biotechnology Bioengineering Biotechnology |
| url |
http://dx.doi.org/10.1002/bit.260180604 |
| publishDate |
1976 |
| physical |
805-812 |
| description |
<jats:title>Abstract</jats:title><jats:p>The models of Monod and Williams, for the growth of unicellular organisms in chemostats, give strongly damped transients in the biomass and cell number when the flow rate of the chemostat is changed. A simple trick is used to incorporate time delay in these models while still allowing a conventional stability analysis. For long enough time delays the equilibrium point is unstable and limit cycles can be computed. Results obtained using Williams' model, with weakly damped transients as a result of using moderately long time delay, are compared with his data in which cell numbers show weak damping but biomass shows strong damping.</jats:p> |
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| author | Macdonald, N. |
| author_facet | Macdonald, N., Macdonald, N. |
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| container_start_page | 805 |
| container_title | Biotechnology and Bioengineering |
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| description | <jats:title>Abstract</jats:title><jats:p>The models of Monod and Williams, for the growth of unicellular organisms in chemostats, give strongly damped transients in the biomass and cell number when the flow rate of the chemostat is changed. A simple trick is used to incorporate time delay in these models while still allowing a conventional stability analysis. For long enough time delays the equilibrium point is unstable and limit cycles can be computed. Results obtained using Williams' model, with weakly damped transients as a result of using moderately long time delay, are compared with his data in which cell numbers show weak damping but biomass shows strong damping.</jats:p> |
| doi_str_mv | 10.1002/bit.260180604 |
| facet_avail | Online |
| finc_class_facet | Chemie und Pharmazie, Biologie, Technik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAwMi9iaXQuMjYwMTgwNjA0 |
| imprint | Wiley, 1976 |
| imprint_str_mv | Wiley, 1976 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 0006-3592, 1097-0290 |
| issn_str_mv | 0006-3592, 1097-0290 |
| language | English |
| last_indexed | 2024-03-01T16:48:34.785Z |
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| physical | 805-812 |
| publishDate | 1976 |
| publishDateSort | 1976 |
| publisher | Wiley |
| record_format | ai |
| recordtype | ai |
| series | Biotechnology and Bioengineering |
| source_id | 49 |
| spelling | Macdonald, N. 0006-3592 1097-0290 Wiley Applied Microbiology and Biotechnology Bioengineering Biotechnology http://dx.doi.org/10.1002/bit.260180604 <jats:title>Abstract</jats:title><jats:p>The models of Monod and Williams, for the growth of unicellular organisms in chemostats, give strongly damped transients in the biomass and cell number when the flow rate of the chemostat is changed. A simple trick is used to incorporate time delay in these models while still allowing a conventional stability analysis. For long enough time delays the equilibrium point is unstable and limit cycles can be computed. Results obtained using Williams' model, with weakly damped transients as a result of using moderately long time delay, are compared with his data in which cell numbers show weak damping but biomass shows strong damping.</jats:p> Time delay in simple chemostat models Biotechnology and Bioengineering |
| spellingShingle | Macdonald, N., Biotechnology and Bioengineering, Time delay in simple chemostat models, Applied Microbiology and Biotechnology, Bioengineering, Biotechnology |
| title | Time delay in simple chemostat models |
| title_full | Time delay in simple chemostat models |
| title_fullStr | Time delay in simple chemostat models |
| title_full_unstemmed | Time delay in simple chemostat models |
| title_short | Time delay in simple chemostat models |
| title_sort | time delay in simple chemostat models |
| title_unstemmed | Time delay in simple chemostat models |
| topic | Applied Microbiology and Biotechnology, Bioengineering, Biotechnology |
| url | http://dx.doi.org/10.1002/bit.260180604 |