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What do mathematical models tell us about circadian clocks?

作者信息

Pavlidis T

出版信息

Bull Math Biol. 1978;40(5):625-35. doi: 10.1007/BF02460734.

DOI:10.1007/BF02460734
PMID:708947
Abstract
摘要

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The circadian locomotor rhythm of Hemideina thoracica (Orthoptera; Stenopelmatidae): a population of weakly coupled feedback oscillators as a model of the underlying pacemaker.
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Qualitative similarities between the behavior of coupled oscillators and circadian rhythms.
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本文引用的文献

1
A mathematical model for the light affected system in the drosophila eclosion rhythm.
Bull Math Biophys. 1967 Jun;29(2):291-310. doi: 10.1007/BF02476901.
2
A new model for simple neural nets and its application in the design of a neural oscillator.一种简单神经网络的新模型及其在神经振荡器设计中的应用。
Bull Math Biophys. 1965 Jun;27(2):215-29. doi: 10.1007/BF02498776.
3
Circadian rhythms in fluctuating light cycles: toward a new model of entrainment.波动光周期中的昼夜节律：迈向一种新的同步化模型。
J Theor Biol. 1969 Aug;24(2):227-39. doi: 10.1016/s0022-5193(69)80048-2.
4
A model for circadian clocks.一种生物钟模型。
Bull Math Biophys. 1967 Dec;29(4):781-91. doi: 10.1007/BF02476928.
5
Integrated view of resetting a circadian clock.重置生物钟的综合观点。
J Theor Biol. 1970 Sep;28(3):327-74. doi: 10.1016/0022-5193(70)90075-5.
6
Populations of biochemical oscillators as circadian clocks.作为生物钟的生化振荡器群体。
J Theor Biol. 1971 Nov;33(2):319-38. doi: 10.1016/0022-5193(71)90070-1.
7
A feedback model for biological rhythms. II. Comparisons with experimental results, especially on the petal rhythm of Kalanchoë.生物节律的反馈模型。II. 与实验结果的比较，特别是关于长寿花花瓣节律的比较。
J Theor Biol. 1972 Jul;36(1):175-94. doi: 10.1016/0022-5193(72)90186-5.
8
A feedback model for biological rhythms. I. Mathematical description and basic properties of the model.
J Theor Biol. 1972 Jul;36(1):153-74. doi: 10.1016/0022-5193(72)90185-3.
9
Membrane model for the circadian clock.生物钟的膜模型。
Nature. 1974 Mar 8;248(5444):116-20. doi: 10.1038/248116a0.
10
Unclocklike behaviour of biological clocks.生物钟的非时钟样行为。
Nature. 1975 Jan 31;253(5490):315-9. doi: 10.1038/253315a0.