Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms
Biofilms offer an excellent example of ecological interaction among bacteria. Temporal and spatial oscillations in biofilms are an emerging topic. In this paper, we describe the metabolic oscillations in Bacillus subtilis biofilms by applying the smallest theoretical chemical reaction system showing...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2020-02-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.190810 |
| _version_ | 1818339473022255104 |
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| author | Ravindra Garde Bashar Ibrahim Ákos T. Kovács Stefan Schuster |
| author_facet | Ravindra Garde Bashar Ibrahim Ákos T. Kovács Stefan Schuster |
| author_sort | Ravindra Garde |
| collection | DOAJ |
| description | Biofilms offer an excellent example of ecological interaction among bacteria. Temporal and spatial oscillations in biofilms are an emerging topic. In this paper, we describe the metabolic oscillations in Bacillus subtilis biofilms by applying the smallest theoretical chemical reaction system showing Hopf bifurcation proposed by Wilhelm and Heinrich in 1995. The system involves three differential equations and a single bilinear term. We specifically select parameters that are suitable for the biological scenario of biofilm oscillations. We perform computer simulations and a detailed analysis of the system including bifurcation analysis and quasi-steady-state approximation. We also discuss the feedback structure of the system and the correspondence of the simulations to biological observations. Our theoretical work suggests potential scenarios about the oscillatory behaviour of biofilms and also serves as an application of a previously described chemical oscillator to a biological system. |
| first_indexed | 2024-12-13T15:27:33Z |
| format | Article |
| id | doaj.art-d738e637badc4963be7ebbdde828109b |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-13T15:27:33Z |
| publishDate | 2020-02-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-d738e637badc4963be7ebbdde828109b2022-12-21T23:40:17ZengThe Royal SocietyRoyal Society Open Science2054-57032020-02-017210.1098/rsos.190810190810Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilmsRavindra GardeBashar IbrahimÁkos T. KovácsStefan SchusterBiofilms offer an excellent example of ecological interaction among bacteria. Temporal and spatial oscillations in biofilms are an emerging topic. In this paper, we describe the metabolic oscillations in Bacillus subtilis biofilms by applying the smallest theoretical chemical reaction system showing Hopf bifurcation proposed by Wilhelm and Heinrich in 1995. The system involves three differential equations and a single bilinear term. We specifically select parameters that are suitable for the biological scenario of biofilm oscillations. We perform computer simulations and a detailed analysis of the system including bifurcation analysis and quasi-steady-state approximation. We also discuss the feedback structure of the system and the correspondence of the simulations to biological observations. Our theoretical work suggests potential scenarios about the oscillatory behaviour of biofilms and also serves as an application of a previously described chemical oscillator to a biological system.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.190810metabolic oscillationsbacillus subtilisminimal modelbiofilmhopf bifurcationglutamate metabolism |
| spellingShingle | Ravindra Garde Bashar Ibrahim Ákos T. Kovács Stefan Schuster Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms Royal Society Open Science metabolic oscillations bacillus subtilis minimal model biofilm hopf bifurcation glutamate metabolism |
| title | Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms |
| title_full | Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms |
| title_fullStr | Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms |
| title_full_unstemmed | Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms |
| title_short | Differential equation-based minimal model describing metabolic oscillations in Bacillus subtilis biofilms |
| title_sort | differential equation based minimal model describing metabolic oscillations in bacillus subtilis biofilms |
| topic | metabolic oscillations bacillus subtilis minimal model biofilm hopf bifurcation glutamate metabolism |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.190810 |
| work_keys_str_mv | AT ravindragarde differentialequationbasedminimalmodeldescribingmetabolicoscillationsinbacillussubtilisbiofilms AT basharibrahim differentialequationbasedminimalmodeldescribingmetabolicoscillationsinbacillussubtilisbiofilms AT akostkovacs differentialequationbasedminimalmodeldescribingmetabolicoscillationsinbacillussubtilisbiofilms AT stefanschuster differentialequationbasedminimalmodeldescribingmetabolicoscillationsinbacillussubtilisbiofilms |