Competition of motile and immotile bacterial strains in a petri dish
Bacterial competition is an important component in many practicalapplications such as plant roots colonization and medicine(especially in dental plaque). Bacterial motility has two types ofmechanisms --- directed movement (chemotaxis) and undirectedmovement. We study undirected bacterial movement ma...
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| Language: | English |
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AIMS Press
2012-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.399 |
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| author | Silogini Thanarajah Hao Wang |
| author_facet | Silogini Thanarajah Hao Wang |
| author_sort | Silogini Thanarajah |
| collection | DOAJ |
| description | Bacterial competition is an important component in many practicalapplications such as plant roots colonization and medicine(especially in dental plaque). Bacterial motility has two types ofmechanisms --- directed movement (chemotaxis) and undirectedmovement. We study undirected bacterial movement mathematically andnumerically which is rarely considered in literature. To studybacterial competition in a petri dish, we modify and extend themodel used in Wei et al. (2011) to obtain a group of more generaland realistic PDE models. We explicitly consider the nutrients andincorporate two bacterial strains characterized by motility. We usedifferent nutrient media such as agar and liquid in the theoreticalframework to discuss the results of competition. The consistency ofour numerical simulations and experimental data suggest theimportance of modeling undirected motility in bacteria. In agar themotile strain has a higher total density than the immotile strain,while in liquid both strains have similar total densities.Furthermore, we find that in agar as bacterial motility increases,the extinction time of the motile bacteria decreases withoutcompetition but increases in competition. In addition, we show theexistence of traveling-wave solutions mathematically andnumerically. |
| format | Article |
| id | doaj-art-2ae984a916834155a0aa1d854b2b63a0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2ae984a916834155a0aa1d854b2b63a02025-01-24T02:25:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-12-0110239942410.3934/mbe.2013.10.399Competition of motile and immotile bacterial strains in a petri dishSilogini Thanarajah0Hao Wang1Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1Bacterial competition is an important component in many practicalapplications such as plant roots colonization and medicine(especially in dental plaque). Bacterial motility has two types ofmechanisms --- directed movement (chemotaxis) and undirectedmovement. We study undirected bacterial movement mathematically andnumerically which is rarely considered in literature. To studybacterial competition in a petri dish, we modify and extend themodel used in Wei et al. (2011) to obtain a group of more generaland realistic PDE models. We explicitly consider the nutrients andincorporate two bacterial strains characterized by motility. We usedifferent nutrient media such as agar and liquid in the theoreticalframework to discuss the results of competition. The consistency ofour numerical simulations and experimental data suggest theimportance of modeling undirected motility in bacteria. In agar themotile strain has a higher total density than the immotile strain,while in liquid both strains have similar total densities.Furthermore, we find that in agar as bacterial motility increases,the extinction time of the motile bacteria decreases withoutcompetition but increases in competition. In addition, we show theexistence of traveling-wave solutions mathematically andnumerically.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.399partial differential equation.motilitycompetitiontraveling-wave solutiondiffusionextinction time |
| spellingShingle | Silogini Thanarajah Hao Wang Competition of motile and immotile bacterial strains in a petri dish Mathematical Biosciences and Engineering partial differential equation. motility competition traveling-wave solution diffusion extinction time |
| title | Competition of motile and immotile bacterial strains in a petri dish |
| title_full | Competition of motile and immotile bacterial strains in a petri dish |
| title_fullStr | Competition of motile and immotile bacterial strains in a petri dish |
| title_full_unstemmed | Competition of motile and immotile bacterial strains in a petri dish |
| title_short | Competition of motile and immotile bacterial strains in a petri dish |
| title_sort | competition of motile and immotile bacterial strains in a petri dish |
| topic | partial differential equation. motility competition traveling-wave solution diffusion extinction time |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.399 |
| work_keys_str_mv | AT siloginithanarajah competitionofmotileandimmotilebacterialstrainsinapetridish AT haowang competitionofmotileandimmotilebacterialstrainsinapetridish |