A Theoretical Study on Seasonality
Additionally to being endogenous, a circadian system must be able to communicate with the outside world and align its rhythmicity to the environment. As a result of such alignment, external Zeitgebers can entrain the circadian system. Entrainment expresses itself in coinciding periods of the circadi...
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Format: | Article |
Language: | English |
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Frontiers Media S.A.
2015-05-01
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Series: | Frontiers in Neurology |
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Online Access: | http://journal.frontiersin.org/Journal/10.3389/fneur.2015.00094/full |
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author | Christoph eSchmal Jihwan eMyung Hanspeter eHerzel Grigory eBordyugov |
author_facet | Christoph eSchmal Jihwan eMyung Hanspeter eHerzel Grigory eBordyugov |
author_sort | Christoph eSchmal |
collection | DOAJ |
description | Additionally to being endogenous, a circadian system must be able to communicate with the outside world and align its rhythmicity to the environment. As a result of such alignment, external Zeitgebers can entrain the circadian system. Entrainment expresses itself in coinciding periods of the circadian oscillator and the Zeitgeber and a stationary phase difference between them. The range of period mismatches between the circadian system and the Zeitgeber that Zeitgeber can overcome to entrain the oscillator is called an entrainment range. The width of the entrainment range usually increases with increasing Zeitgeber strength, resulting in a wedge-like Arnold tongue.This classical view of entrainment does not account for the effects of photoperiod on entrainment. Zeitgebers with extremely small or large photoperiods are intuitively closer to constant environments than equinoctial Zeitgebers and hence are expected to produce a narrower entrainment range. In this paper, we present theoretical results on entrainment under different photoperiods. We find that in the photoperiod-detuning parameter plane, the entrainment zone is shaped in the form of a skewed onion. The bottom and upper points of the onion are given by the free running periods in DD and LL, respectively. The widest entrainment range is found near photoperiods of 50%. Within the onion, we calculated the entrainment phase that varies over a range of 12h. The results of our theoretical study explain the experimentally observed behaviour of the entrainment phase in dependence on the photoperiod. |
first_indexed | 2024-04-13T20:08:02Z |
format | Article |
id | doaj.art-b129c7f1cf3640eeab06fa1cdeb9af27 |
institution | Directory Open Access Journal |
issn | 1664-2295 |
language | English |
last_indexed | 2024-04-13T20:08:02Z |
publishDate | 2015-05-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Neurology |
spelling | doaj.art-b129c7f1cf3640eeab06fa1cdeb9af272022-12-22T02:31:56ZengFrontiers Media S.A.Frontiers in Neurology1664-22952015-05-01610.3389/fneur.2015.00094138218A Theoretical Study on SeasonalityChristoph eSchmal0Jihwan eMyung1Hanspeter eHerzel2Grigory eBordyugov3Charité BerlinRIKEN Brain Science InstituteHumboldt UniversityCharité BerlinAdditionally to being endogenous, a circadian system must be able to communicate with the outside world and align its rhythmicity to the environment. As a result of such alignment, external Zeitgebers can entrain the circadian system. Entrainment expresses itself in coinciding periods of the circadian oscillator and the Zeitgeber and a stationary phase difference between them. The range of period mismatches between the circadian system and the Zeitgeber that Zeitgeber can overcome to entrain the oscillator is called an entrainment range. The width of the entrainment range usually increases with increasing Zeitgeber strength, resulting in a wedge-like Arnold tongue.This classical view of entrainment does not account for the effects of photoperiod on entrainment. Zeitgebers with extremely small or large photoperiods are intuitively closer to constant environments than equinoctial Zeitgebers and hence are expected to produce a narrower entrainment range. In this paper, we present theoretical results on entrainment under different photoperiods. We find that in the photoperiod-detuning parameter plane, the entrainment zone is shaped in the form of a skewed onion. The bottom and upper points of the onion are given by the free running periods in DD and LL, respectively. The widest entrainment range is found near photoperiods of 50%. Within the onion, we calculated the entrainment phase that varies over a range of 12h. The results of our theoretical study explain the experimentally observed behaviour of the entrainment phase in dependence on the photoperiod.http://journal.frontiersin.org/Journal/10.3389/fneur.2015.00094/fullCircadian clockSeasonalityentrainmentoscillatorArnold tongue |
spellingShingle | Christoph eSchmal Jihwan eMyung Hanspeter eHerzel Grigory eBordyugov A Theoretical Study on Seasonality Frontiers in Neurology Circadian clock Seasonality entrainment oscillator Arnold tongue |
title | A Theoretical Study on Seasonality |
title_full | A Theoretical Study on Seasonality |
title_fullStr | A Theoretical Study on Seasonality |
title_full_unstemmed | A Theoretical Study on Seasonality |
title_short | A Theoretical Study on Seasonality |
title_sort | theoretical study on seasonality |
topic | Circadian clock Seasonality entrainment oscillator Arnold tongue |
url | http://journal.frontiersin.org/Journal/10.3389/fneur.2015.00094/full |
work_keys_str_mv | AT christopheschmal atheoreticalstudyonseasonality AT jihwanemyung atheoreticalstudyonseasonality AT hanspetereherzel atheoreticalstudyonseasonality AT grigoryebordyugov atheoreticalstudyonseasonality AT christopheschmal theoreticalstudyonseasonality AT jihwanemyung theoreticalstudyonseasonality AT hanspetereherzel theoreticalstudyonseasonality AT grigoryebordyugov theoreticalstudyonseasonality |