Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913648883007488 |
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| author | Harris, Mariana Rivera-Estay, Viviana Aguirre, Pablo Breña-Medina, Víctor F. |
| author_facet | Harris, Mariana Rivera-Estay, Viviana Aguirre, Pablo Breña-Medina, Víctor F. |
| contents | Quorum sensing governs bacterial communication, playing a crucial role in regulating population behaviour. We propose a mathematical model that uncovers chaotic dynamics within quorum sensing networks, highlighting challenges to predictability. The model explores interactions between autoinducers and two bacterial subtypes, revealing oscillatory dynamics in both a constant autoinducer sub-model and the full three-component model. In the latter case, we find that the complicated dynamics can be explained by the presence of homoclinic Shilnikov bifurcations. We employed a combination of normal form analysis and numerical continuation methods to analyse the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02764 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics Harris, Mariana Rivera-Estay, Viviana Aguirre, Pablo Breña-Medina, Víctor F. Dynamical Systems Chaotic Dynamics Populations and Evolution 34C23, 37G05, 37G15, 37C29, 37G20, 92B25 Quorum sensing governs bacterial communication, playing a crucial role in regulating population behaviour. We propose a mathematical model that uncovers chaotic dynamics within quorum sensing networks, highlighting challenges to predictability. The model explores interactions between autoinducers and two bacterial subtypes, revealing oscillatory dynamics in both a constant autoinducer sub-model and the full three-component model. In the latter case, we find that the complicated dynamics can be explained by the presence of homoclinic Shilnikov bifurcations. We employed a combination of normal form analysis and numerical continuation methods to analyse the system. |
| title | Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics |
| topic | Dynamical Systems Chaotic Dynamics Populations and Evolution 34C23, 37G05, 37G15, 37C29, 37G20, 92B25 |
| url | https://arxiv.org/abs/2409.02764 |