Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved]
Three parameters are important to characterize a circadian and in general any biological clock: period, phase and amplitude. While circadian periods have been shown to correlate with entrainment phases, and clock amplitude influences the phase response of an oscillator to pulse-like zeitgeber signal...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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F1000 Research Ltd
2023-08-01
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| Series: | F1000Research |
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| Online Access: | https://f1000research.com/articles/12-1077/v1 |
| _version_ | 1827814934945202176 |
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| author | Hanspeter Herzel Christian Gabriel Achim Kramer Camillo Mizaikoff Saskia Grabe Marta del Olmo Christoph Schmal |
| author_facet | Hanspeter Herzel Christian Gabriel Achim Kramer Camillo Mizaikoff Saskia Grabe Marta del Olmo Christoph Schmal |
| author_sort | Hanspeter Herzel |
| collection | DOAJ |
| description | Three parameters are important to characterize a circadian and in general any biological clock: period, phase and amplitude. While circadian periods have been shown to correlate with entrainment phases, and clock amplitude influences the phase response of an oscillator to pulse-like zeitgeber signals, the co-modulations of amplitude and periods, which we term twist, have not been studied in detail. In this paper we define two concepts: parametric twist refers to amplitude-period correlations arising in ensembles of self-sustained clocks in the absence of external inputs, and phase space twist refers to the co-modulation of an individual clock's amplitude and period in response to external zeitgebers. Our findings show that twist influences the interaction of oscillators with the environment, facilitating entrainment, fastening recovery to pulse-like perturbations or modifying the response of an individual clock to coupling. This theoretical framework might be applied to understand the emerging properties of other oscillating systems. |
| first_indexed | 2024-03-11T23:52:54Z |
| format | Article |
| id | doaj.art-2fe029b58809407e89dabb15c86fa9ad |
| institution | Directory Open Access Journal |
| issn | 2046-1402 |
| language | English |
| last_indexed | 2024-03-11T23:52:54Z |
| publishDate | 2023-08-01 |
| publisher | F1000 Research Ltd |
| record_format | Article |
| series | F1000Research |
| spelling | doaj.art-2fe029b58809407e89dabb15c86fa9ad2023-09-19T00:00:01ZengF1000 Research LtdF1000Research2046-14022023-08-0112148657Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved]Hanspeter Herzel0Christian Gabriel1https://orcid.org/0000-0003-2081-1743Achim Kramer2Camillo Mizaikoff3Saskia Grabe4Marta del Olmo5https://orcid.org/0000-0001-6530-4628Christoph Schmal6Institute for Theoretical Biology, Charité Universitätsmedizin Berlin, Philippstr. 13, Berlin, 10115, GermanyLaboratory of Chronobiology, Institute for Medical Immunology, Charité Universitätsmedizin Berlin, Charitéplatz 1, Berlin, 10117, GermanyLaboratory of Chronobiology, Institute for Medical Immunology, Charité Universitätsmedizin Berlin, Charitéplatz 1, Berlin, 10117, GermanyInstitute for Theoretical Biology, Charité Universitätsmedizin Berlin, Philippstr. 13, Berlin, 10115, GermanyInstitute for Theoretical Biology, Charité Universitätsmedizin Berlin, Philippstr. 13, Berlin, 10115, GermanyInstitute for Theoretical Biology, Charité Universitätsmedizin Berlin, Philippstr. 13, Berlin, 10115, GermanyInstitute for Theoretical Biology, Charité Universitätsmedizin Berlin, Philippstr. 13, Berlin, 10115, GermanyThree parameters are important to characterize a circadian and in general any biological clock: period, phase and amplitude. While circadian periods have been shown to correlate with entrainment phases, and clock amplitude influences the phase response of an oscillator to pulse-like zeitgeber signals, the co-modulations of amplitude and periods, which we term twist, have not been studied in detail. In this paper we define two concepts: parametric twist refers to amplitude-period correlations arising in ensembles of self-sustained clocks in the absence of external inputs, and phase space twist refers to the co-modulation of an individual clock's amplitude and period in response to external zeitgebers. Our findings show that twist influences the interaction of oscillators with the environment, facilitating entrainment, fastening recovery to pulse-like perturbations or modifying the response of an individual clock to coupling. This theoretical framework might be applied to understand the emerging properties of other oscillating systems.https://f1000research.com/articles/12-1077/v1circadian clocks mathematical modeling amplitudes periods twist heterogeneityeng |
| spellingShingle | Hanspeter Herzel Christian Gabriel Achim Kramer Camillo Mizaikoff Saskia Grabe Marta del Olmo Christoph Schmal Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] F1000Research circadian clocks mathematical modeling amplitudes periods twist heterogeneity eng |
| title | Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] |
| title_full | Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] |
| title_fullStr | Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] |
| title_full_unstemmed | Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] |
| title_short | Are circadian amplitudes and periods correlated? A new twist in the story [version 1; peer review: 2 approved] |
| title_sort | are circadian amplitudes and periods correlated a new twist in the story version 1 peer review 2 approved |
| topic | circadian clocks mathematical modeling amplitudes periods twist heterogeneity eng |
| url | https://f1000research.com/articles/12-1077/v1 |
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