One interesting and elusive two-coupled oscillator problem
Chronobiology experiments often reveal intriguing non-linear phenomena, which require mathematical models and computer simulations for their interpretation. One example is shown here, where the two circadian oscillators located in the eyes of the mollusk Bulla gouldiana were isolated and measured in...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-05-01
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| Series: | Neurobiology of Sleep and Circadian Rhythms |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2451994424000063 |
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| author | Gisele A. Oda |
| author_facet | Gisele A. Oda |
| author_sort | Gisele A. Oda |
| collection | DOAJ |
| description | Chronobiology experiments often reveal intriguing non-linear phenomena, which require mathematical models and computer simulations for their interpretation. One example is shown here, where the two circadian oscillators located in the eyes of the mollusk Bulla gouldiana were isolated and measured in vitro. By maintaining one eye under control conditions and manipulating the period of the second eye, Page and Nalovic (1992) obtained a diversity of results, including synchronized and desynchronized eyes, associated to weak coupling and period differences. A subset of eye pairs, however, showed increasing phase angle followed by phase jumps. These occur and have been satisfactorily modeled in more complex systems where two zeitgebers play clear entraining roles. However, simulations of a simple model of free-running, two mutually coupled limit-cycle oscillators with unilateral change in oscillator period failed completely to reproduce these phase jumps. Here we explain how phase jumps arise in two-zeitgeber systems and then show the closest but unsatisfying, intermediate model that was fit to the Bulla system. |
| format | Article |
| id | doaj-art-0828bf0b33f94c008e95d385bb642862 |
| institution | Kabale University |
| issn | 2451-9944 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Neurobiology of Sleep and Circadian Rhythms |
| spelling | doaj-art-0828bf0b33f94c008e95d385bb6428622025-08-20T03:55:17ZengElsevierNeurobiology of Sleep and Circadian Rhythms2451-99442025-05-011810010810.1016/j.nbscr.2024.100108One interesting and elusive two-coupled oscillator problemGisele A. Oda0Instituto de Biociências, Departamento de Fisiologia, Universidade de São Paulo, SP, BrazilChronobiology experiments often reveal intriguing non-linear phenomena, which require mathematical models and computer simulations for their interpretation. One example is shown here, where the two circadian oscillators located in the eyes of the mollusk Bulla gouldiana were isolated and measured in vitro. By maintaining one eye under control conditions and manipulating the period of the second eye, Page and Nalovic (1992) obtained a diversity of results, including synchronized and desynchronized eyes, associated to weak coupling and period differences. A subset of eye pairs, however, showed increasing phase angle followed by phase jumps. These occur and have been satisfactorily modeled in more complex systems where two zeitgebers play clear entraining roles. However, simulations of a simple model of free-running, two mutually coupled limit-cycle oscillators with unilateral change in oscillator period failed completely to reproduce these phase jumps. Here we explain how phase jumps arise in two-zeitgeber systems and then show the closest but unsatisfying, intermediate model that was fit to the Bulla system.http://www.sciencedirect.com/science/article/pii/S2451994424000063Circadian rhythmsEntrainmentCoupled oscillatorsModelingPhase jumps |
| spellingShingle | Gisele A. Oda One interesting and elusive two-coupled oscillator problem Neurobiology of Sleep and Circadian Rhythms Circadian rhythms Entrainment Coupled oscillators Modeling Phase jumps |
| title | One interesting and elusive two-coupled oscillator problem |
| title_full | One interesting and elusive two-coupled oscillator problem |
| title_fullStr | One interesting and elusive two-coupled oscillator problem |
| title_full_unstemmed | One interesting and elusive two-coupled oscillator problem |
| title_short | One interesting and elusive two-coupled oscillator problem |
| title_sort | one interesting and elusive two coupled oscillator problem |
| topic | Circadian rhythms Entrainment Coupled oscillators Modeling Phase jumps |
| url | http://www.sciencedirect.com/science/article/pii/S2451994424000063 |
| work_keys_str_mv | AT giseleaoda oneinterestingandelusivetwocoupledoscillatorproblem |