A damped circadian oscillator model of an insect photoperiodic clock. I. Description of the model based on a feedback control system

Lewis, R.D.; Saunders, D. S.

doi:10.1016/s0022-5193(87)80030-9

Cited by 95 publications

(62 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The most significant difference between them is that an hourglass measures night length only once, whereas an oscillatory clock free runs in an extended night to perform successive night length measurements. For this reason, an explanation for their apparent differences might be that hourglasses are merely heavily damped circadian oscillators (Models 5, 6, and 13) (Lewis and Saunders, 1987;Saunders and Lewis, 1987a,b;Vaz Nunes and Hardie, 1987;Vaz Nunes et al, 1991a,b;Vaz Nunes, 1998a; see also King et al, 1997). This also would explain why bistability experiments in, for example, T. urticae were negative, whereas Nanda-Hamner experiments were positive.…”

Section: Important Questions and Problemsmentioning

confidence: 99%

“…A modification of the original external coincidence model has been proposed to meet that particular problem. Following a suggestion of Bünning (1969), it was proposed that the oscillator making up the clock is not self-sustained but rather damps out within a few cycles unless maintained at high amplitude by a train of "strong" light pulses (Model 5) (Lewis and Saunders, 1987;Saunders and Lewis, 1987a,b). This model was derived from a feedback control systems approach to circadian rhythmicity (Lewis, 1994), which also was used successfully to simulate the biochemical feedback loops in the circadian system of the various period mutants of Drosophila melanogaster (Lewis et al, 1997).…”

Section: External Coincidence and The Damped Circadian Oscillator Modelmentioning

confidence: 99%

“…Difficulties using this model to account for thermoperiodic induction (Saunders, 1973b), temperature dependence of the critical night length (Danilevskii, 1965), and complex circadian surfaces (three-dimensional Nanda-Hamner responses) also have been raised (Pittendrigh et al, 1984). However, the damped oscillator version of this model (Model 5, Lewis and Saunders, 1987) overcomes many of these restrictions. For example, Saunders and Lewis (1987a,b) showed that incorporation of a damped oscillator can produce many of the complex shapes of photoperiodic response curves and Nanda-Hamner profiles.…”

Section: External or Internal Coincidence? The Multioscillator Constrmentioning

confidence: 99%

“…In comparing such a system of oscillators to those governing overt circadian rhythms (e.g., locomotor activity, pupal eclosion), we can look to the recent advances in molecular biology that describe such sys-tems as negative feedback loops, particularly because feedback control systems models of circadian rhythmicity (Lewis, 1994) provide successful simulations of both overt rhythms (Lewis et al, 1997) and photoperiodic induction (Lewis and Saunders, 1987;Saunders and Lewis, 1987a,b;Vaz Nunes et al, 1991a,b).…”

Section: Clock Models In Relation To Known Circadian Biologymentioning

confidence: 99%

See 3 more Smart Citations

Photoperiodic Time Measurement in Insects: A Review of Clock Models

Nunes¹,

Saunders²

1999

J Biol Rhythms

119

View full text Add to dashboard Cite

Based on analyses of responses of insects and mites to a wide range of diel and nondiel experimental light-dark schedules, a variety of models have been developed for the photoperiodic clocks in these species by nearly as many investigators. According to some of these models, the photoperiodic clock is based on a mechanism separate from the circadian system, that is, a so-called "hourglass." According to other models, the clock is based on one or more circadian oscillators that may be coupled to each other and that may or may not show a certain degree of damping. In this context, a rapidly damping oscillator could be regarded as an hourglass. The present article gives an overview of the many different clock models and their philosophies, and it makes comparisons among them to provide a better understanding about how these models are related, if at all, and why the double circadian oscillator model is the most favored model at present.

show abstract

Section: Important Questions and Problemsmentioning

confidence: 99%

Section: External Coincidence and The Damped Circadian Oscillator Modelmentioning

confidence: 99%

Section: External or Internal Coincidence? The Multioscillator Constrmentioning

confidence: 99%

Section: Clock Models In Relation To Known Circadian Biologymentioning

confidence: 99%

See 2 more Smart Citations

Photoperiodic Time Measurement in Insects: A Review of Clock Models

Nunes¹,

Saunders²

1999

J Biol Rhythms

119

View full text Add to dashboard Cite

show abstract

“…Circadian rhythms are generated by biological clocks that seem to be ubiquitous in nature, ranging from periodic biochemical reactions in molecular organisms to complex structures in the mammalian brain. Several mathematical and physical models have been proposed over the years in order to explain different features of circadian systems in general (see, for example, [1,2,4,5,9,10,13,14,15,22,23,24,26] and the references therein).…”

mentioning

confidence: 99%

Global attractivity of a circadian pacemaker model in a periodic environment

Chen¹,

Wang²

2005

DCDS-B

View full text Add to dashboard Cite

Abstract. In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree. Then we establish the global attractivity of the periodic solution under two sufficient conditions. These conditions are easily verifiable and are independent of each other. Some numerical simulations are also performed to demonstrate the main results.

show abstract

Daily and Seasonal Rhythms

Underwood

Wassmer

Page

1997

Comprehensive Physiology

View full text Add to dashboard Cite

The sections in this article are: Daily Rhythms Models and Mechanisms Circadian Pacemaking Systems in Invertebrates Pacemakers in the Arthropod Brain Circadian Pacemakers Outside the Nervous System in Insects Pacemakers in the Gastropod Retina Multioscillator Organization Identification of Output Pathways Circadian Pacemaking Systems in Vertebrates The Mammalian SCN Other Circadian Oscillators in Mammals Hypothalamic Regulation of Circadian Function in Nonmammalian Vertebrates The Pineal Organ Eyes as Clocks Photoreceptor Localization and Mechanisms of Entrainment in Invertebrates Photoreceptive Input: Invertebrates Mechanisms of Regulation of Pacemaker Phase Photoreceptor Localization and Mechanisms of Entrainment in Vertebrates Identification of Photoreceptors Mechanisms of Regulation of Pacemaker Phase Seasonality in Invertebrates Modes of Seasonality Timing of Seasonal Cycles Photoperiodic Time Measurement Mechanisms of Photoperiodic Time Measurement The Photoperiodic Timer The Photoperiodic Counter Anatomical Location of Timers and Counters Photoreceptors Circannual Rhythms Seasonality in Vertebrates Photoperiodic Time Measurement: Models and Experimental Validation Physiological Mechanisms The Pineal and Melatonin: Mammals Mechanisms of Pineal Action The Pineal and Melatonin: Nonmammalian Vertebrates Photoreceptive Inputs: Mammalian Photoreceptive Inputs: Nonmammalian Maternal–Fetal Transfer of Photoperiodic Information Circannual Rhythms Physiological Mechanisms Concluding Comments

show abstract

A damped circadian oscillator model of an insect photoperiodic clock. I. Description of the model based on a feedback control system

Cited by 95 publications

References 17 publications

Photoperiodic Time Measurement in Insects: A Review of Clock Models

Photoperiodic Time Measurement in Insects: A Review of Clock Models

Global attractivity of a circadian pacemaker model in a periodic environment

Daily and Seasonal Rhythms

Contact Info

Product

Resources

About