Turing instabilities and pattern formation in a benthic nutrient-microorganism system
In general, the distributions of nutrients and microorganisms in sediments show complex spatio-temporal patterns, which often cannot be explained as resulting exclusively from the temporal fluctuations of environmental conditions and the inhomogeneity of the studied sediment's material. We stud...
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| Format: | Article |
| Language: | English |
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.111 |
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| author | Martin Baurmann Wolfgang Ebenhöh Ulrike Feudel |
| author_facet | Martin Baurmann Wolfgang Ebenhöh Ulrike Feudel |
| author_sort | Martin Baurmann |
| collection | DOAJ |
| description | In general, the distributions of nutrients and microorganisms in sediments show complex spatio-temporal patterns, which often cannot be explained as resulting exclusively from the temporal fluctuations of environmental conditions and the inhomogeneity of the studied sediment's material. We studied the dynamics of one population of microorganisms feeding on a nutrient in a simple model, taking into account that the considered bacteria can be in an active or in a dormant state. Using this model, we show that the formation of spatio-temporal patterns can be the consequence of the interaction between predation and transport processes. Employing the model on a two-dimensional vertical domain, we show by simulations which patterns can arise. Depending on the strength of bioirrigation, we observe stripes or 'hot spots'' (or 'cold spots'') with high (or low) microbiological activity. A detailed study regarding the effect of non-homogeneous (depth dependent) forcing by bioirrigation shows that different patterns can appear in different depths. |
| format | Article |
| id | doaj-art-3bc1a1024f9948c6a2907737f7f66212 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3bc1a1024f9948c6a2907737f7f662122025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-011111113010.3934/mbe.2004.1.111Turing instabilities and pattern formation in a benthic nutrient-microorganism systemMartin Baurmann0Wolfgang Ebenhöh1Ulrike Feudel2Institute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky Universität Oldenburg, PF 2503, 26111 OldenburgInstitute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky Universität Oldenburg, PF 2503, 26111 OldenburgInstitute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky Universität Oldenburg, PF 2503, 26111 OldenburgIn general, the distributions of nutrients and microorganisms in sediments show complex spatio-temporal patterns, which often cannot be explained as resulting exclusively from the temporal fluctuations of environmental conditions and the inhomogeneity of the studied sediment's material. We studied the dynamics of one population of microorganisms feeding on a nutrient in a simple model, taking into account that the considered bacteria can be in an active or in a dormant state. Using this model, we show that the formation of spatio-temporal patterns can be the consequence of the interaction between predation and transport processes. Employing the model on a two-dimensional vertical domain, we show by simulations which patterns can arise. Depending on the strength of bioirrigation, we observe stripes or 'hot spots'' (or 'cold spots'') with high (or low) microbiological activity. A detailed study regarding the effect of non-homogeneous (depth dependent) forcing by bioirrigation shows that different patterns can appear in different depths.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.111pattern formationreaction-diffusion modelsturing instabilitysediment. |
| spellingShingle | Martin Baurmann Wolfgang Ebenhöh Ulrike Feudel Turing instabilities and pattern formation in a benthic nutrient-microorganism system Mathematical Biosciences and Engineering pattern formation reaction-diffusion models turing instability sediment. |
| title | Turing instabilities and pattern formation in a benthic nutrient-microorganism system |
| title_full | Turing instabilities and pattern formation in a benthic nutrient-microorganism system |
| title_fullStr | Turing instabilities and pattern formation in a benthic nutrient-microorganism system |
| title_full_unstemmed | Turing instabilities and pattern formation in a benthic nutrient-microorganism system |
| title_short | Turing instabilities and pattern formation in a benthic nutrient-microorganism system |
| title_sort | turing instabilities and pattern formation in a benthic nutrient microorganism system |
| topic | pattern formation reaction-diffusion models turing instability sediment. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.111 |
| work_keys_str_mv | AT martinbaurmann turinginstabilitiesandpatternformationinabenthicnutrientmicroorganismsystem AT wolfgangebenhoh turinginstabilitiesandpatternformationinabenthicnutrientmicroorganismsystem AT ulrikefeudel turinginstabilitiesandpatternformationinabenthicnutrientmicroorganismsystem |