Calculating activation energies for temperature compensation in circadian rhythms

Many biological species possess a circadian clock, which helps them anticipate daily variations in the environment. In the absence of external stimuli, the rhythm persists autonomously with a period of approximately 24 h. However, single pulses of light, nutrients, chemicals or temperature can shift the clock phase. In the case of light- and temperature-cycles, this allows entrainment of the clock to cycles of exactly 24 h. Circadian clocks have the remarkable property of temperature compensation, that is, the period of the circadian rhythm remains relatively constant within a physiological range of temperatures. For several organisms, temperature-regulated processes within the circadian clock have been identified in recent years. However, how these processes contribute to temperature compensation is not fully understood. Here, we theoretically investigate temperature compensation in general oscillatory systems. It is known that every oscillator can be locally temperature compensated around a reference temperature, if reactions are appropriately balanced. A balancing is always possible if the control coefficient with respect to the oscillation period of at least one reaction in the oscillator network is positive. However, for global temperature compensation, the whole physiological temperature range is relevant. Here, we use an approach which leads to an optimization problem subject to the local balancing principle. We use this approach to analyse different circadian clock models proposed in the literature and calculate activation energies that lead to temperature compensation.     

The role of natural selection in circadian behaviour: a molecular-genetic approach

Circadian rhythms (~24 h) in biochemistry, physiology and behaviour are found in almost all eukaryotes and some bacteria. The elucidation of the molecular components of the 24 h circadian clock in a number of model organisms in recent years has provided an opportunity to assess the adaptive value of variation in clock genes. Laboratory experiments using artificially generated mutants reveal that the circadian period is adaptive in a 24 h world. Natural genetic variation can also be studied, and there are a number of ways in which the signature of natural selection can be detected. These include the study of geographical patterns of genetic variation, which provide a first indication that selection may be at work, and the use of sophisticated statistical neutrality tests, which examine whether the pattern of variation observed is consistent with a selective rather than a neutral (or drift) scenario. Finally, examining the probable selective agents and their differential effects on the circadian phenotype of the natural variants provides the final compelling evidence for selection. We present some examples of how these types of analyses have not only enlightened the evolutionary study of clocks, but have also contributed to a more pragmatic molecular understanding of the function of clock proteins.     

Evidence for the adaptive significance of circadian rhythms

Circadian (∼24 h) clock regulated biological rhythms have been identified in a wide range of organisms from prokaryotic unicellular cyanobacteria to higher mammals. These rhythms regulate an enormous variety of processes including gene expression, metabolic processes, activity and reproduction. Given the widespread occurrence of circadian systems it is not surprising that extensive efforts have been directed at understanding the adaptive significance of circadian rhythms. In this review we discuss the approaches and findings that have resulted. In studies on organisms in their natural environments, some species show adaptations in their circadian systems that correlate with living at different latitudes, such as clines in circadian clock properties. Additionally, some species show plasticity in their circadian systems suggested to match the demands of their physical and social environment. A number of experiments, both in the field and in the laboratory, have examined the effects of having a circadian system that does not resonate with the organism's environment. We conclude that the results of these studies suggest that having a circadian system that matches the oscillating environment is adaptive.     

A role for protein kinase casein kinase2 α-subunits in the Arabidopsis circadian clock

Circadian rhythms are autoregulatory, endogenous rhythms with a period of approximately 24 h. A wide variety of physiological and molecular processes are regulated by the circadian clock in organisms ranging from bacteria to humans. Phosphorylation of clock proteins plays a critical role in generating proper circadian rhythms. Casein Kinase2 (CK2) is an evolutionarily conserved serine/threonine protein kinase composed of two catalytic α-subunits and two regulatory β-subunits. Although most of the molecular components responsible for circadian function are not conserved between kingdoms, CK2 is a well-conserved clock component modulating the stability and subcellular localization of essential clock proteins. Here, we examined the effects of a cka1a2a3 triple mutant on the Arabidopsis (Arabidopsis thaliana) circadian clock. Loss-of-function mutations in three nuclear-localized CK2α subunits result in period lengthening of various circadian output rhythms and central clock gene expression, demonstrating that the cka1a2a3 triple mutant affects the pace of the circadian clock. Additionally, the cka1a2a3 triple mutant has reduced levels of CK2 kinase activity and CIRCADIAN CLOCK ASSOCIATED1 phosphorylation in vitro. Finally, we found that the photoperiodic flowering response, which is regulated by circadian rhythms, was reduced in the cka1a2a3 triple mutant and that the plants flowered later under long-day conditions. These data demonstrate that CK2α subunits are important components of the Arabidopsis circadian system and their effects on rhythms are in part due to their phosphorylation of CIRCADIAN CLOCK ASSOCIATED1.     

Unraveling the mechanisms of the vertebrate circadian clock: zebrafish may light the way

Most organisms display oscillations of approximately 24 hours in their physiology. In higher organisms, these circadian oscillations in biochemical and physiological processes ultimately control complex behavioral rhythms that allow an organism to thrive in its natural habitat. Daily and seasonal light cycles are mainly responsible for keeping the circadian system properly aligned with the environment. The molecular mechanisms responsible for the control of the circadian clock have been explored in a number of systems. Interestingly, the circadian oscillations that are responsive to environmental stimuli are present very early during development. This review focuses on the advantages of using the zebrafish to study the development of the vertebrate circadian system and light-dependent signaling to the clock.     

The brain's calendar: neural mechanisms of seasonal timing

The suprachiasmatic nucleus (SCN) of the hypothalamus is the principal component of the mammalian biological clock, the neural timing system that generates and coordinates a broad spectrum of physiological, endocrine and behavioural circadian rhythms. The pacemaker of the SCN oscillates with a near 24 h period and is entrained to the diurnal light-dark cycle. Consistent with its role in circadian timing, investigations in rodents and non-human primates furthermore suggest that the SCN is the locus of the brain's endogenous calendar, enabling organisms to anticipate seasonal environmental changes. The present review focuses on the neuronal organization and dynamic properties of the biological clock and the means by which it is synchronized with the environmental lighting conditions. It is shown that the functional activity of the biological clock is entrained to the seasonal photic cycle and that photoperiod (day length) may act as an effective zeitgeber. Furthermore, new insights are presented, based on electrophysiological and molecular studies, that the mammalian circadian timing system consists of coupled oscillators and that the clock genes of these oscillators may also function as calendar genes. In summary, there are now strong indications that the neuronal changes and adaptations in mammals that occur in response to a seasonally changing environment are driven by an endogenous circadian clock located in the SCN, and that this neural calendar is reset by the seasonal fluctuations in photoperiod.     

哺乳动物昼夜节律生物钟研究进展

昼夜节律生物钟是一种以近似24小时为周期的自主维持的振荡器,在分子水平上,该振荡器是一个由9个基因组成的转录翻译反馈环路系统。它能受外界环境影响重新设置节律,使自身机体活动处于最佳状态。除了进行自我调节外,生物钟基因还能通过调节代谢途径中特定基因表达而影响机体生理生化过程。在过去的几年里,借用遗传学和分子生物学工具,我们对哺乳动物昼夜节律生物钟的分子基础有了新的认识,本文综述了这一进展,并展望了它们在研究人的昼夜节律行为异常领域的前景。     

A time to fast,a time to feast: The crosstalk between metabolism and the circadian clock

The cyclic environmental conditions brought about by the 24 h rotation of the earth have allowed the evolution of endogenous circadian clocks that control the temporal alignment of behaviour and physiology, including the uptake and processing of nutrients. Both metabolic and circadian regulatory systems are built upon a complex feedback network connecting centres of the central nervous system and different peripheral tissues. Emerging evidence suggests that circadian clock function is closely linked to metabolic homeostasis and that rhythm disruption can contribute to the development of metabolic disease. At the same time, metabolic processes feed back into the circadian clock, affecting clock gene expression and timing of behaviour. In this review, we summarize the experimental evidence for this bimodal interaction, with a focus on the molecular mechanisms mediating this exchange, and outline the implications for clock-based and metabolic diseases.     

The role of Clock in the plasticity of circadian entrainment

The mammalian circadian clock lying in suprachiasmatic nucleus (SCN) is synchronized to about 24 h by the environmental light-dark cycle (LD). The circadian clock exhibits limits of entrainment above and below 24 h, beyond which it will not entrain. Little is known about the mechanisms regulating the limits of entrainment. In this study, we show that wild-type mice entrain to only an LD 24 h cycle, whereas Clock mutant mice can entrain to an LD 24, 28, and 32 h except for LD 20 h and LD 36 h cycle. Under an LD 28 h cycle, Clock mutant mice showed a clear rhythm in Per2 mRNA expression in the SCN and behavior. Light response was also increased. This is the first report to show that the Clock mutation makes it possible to adapt the circadian oscillator to a long period cycle and indicates that the clock gene may have an important role for the limits of entrainment of the SCN to LD cycle.     

Amplitude of circadian oscillations entrained by 24-h light-dark cycles

An intriguing property of circadian clocks is that their free-running period is not exactly 24h. Using models for circadian rhythms in Neurospora and Drosophila, we determine how the entrainment of these rhythms is affected by the free-running period and by the amplitude of the external light-dark cycle. We first consider the model for Neurospora, in which light acts by inducing the expression of a clock gene. We show that the amplitude of the oscillations of the clock protein entrained by light-dark cycles is maximized when the free-running period is smaller than 24h. Moreover, if the amplitude of the light-dark cycle is very strong, complex oscillations occur when the free-running period is close to 24h. In the model for circadian rhythms in Drosophila, light acts by enhancing the degradation of a clock protein. We show that while the amplitude of circadian oscillations entrained by light-dark cycles is also maximized if the free-running period is smaller than 24h, the range of entrainment is centered around 24h in this model. We discuss the physiological relevance of these results in regard to the setting of the free-running period of the circadian clock.     

Entrainment of the mammalian cell cycle by the circadian clock: modeling two coupled cellular rhythms

The cell division cycle and the circadian clock represent two major cellular rhythms. These two periodic processes are coupled in multiple ways, given that several molecular components of the cell cycle network are controlled in a circadian manner. For example, in the network of cyclin-dependent kinases (Cdks) that governs progression along the successive phases of the cell cycle, the synthesis of the kinase Wee1, which inhibits the G2/M transition, is enhanced by the complex CLOCK-BMAL1 that plays a central role in the circadian clock network. Another component of the latter network, REV-ERBα, inhibits the synthesis of the Cdk inhibitor p21. Moreover, the synthesis of the oncogene c-Myc, which promotes G1 cyclin synthesis, is repressed by CLOCK-BMAL1. Using detailed computational models for the two networks we investigate the conditions in which the mammalian cell cycle can be entrained by the circadian clock. We show that the cell cycle can be brought to oscillate at a period of 24 h or 48 h when its autonomous period prior to coupling is in an appropriate range. The model indicates that the combination of multiple modes of coupling does not necessarily facilitate entrainment of the cell cycle by the circadian clock. Entrainment can also occur as a result of circadian variations in the level of a growth factor controlling entry into G1. Outside the range of entrainment, the coupling to the circadian clock may lead to disconnected oscillations in the cell cycle and the circadian system, or to complex oscillatory dynamics of the cell cycle in the form of endoreplication, complex periodic oscillations or chaos. The model predicts that the transition from entrainment to 24 h or 48 h might occur when the strength of coupling to the circadian clock or the level of growth factor decrease below critical values.     

哺乳动物生物钟的遗传和表观遗传研究进展

生物钟对生物机体的生存与环境适应具有着重要意义,其相关研究近年来受到人们的广泛关注。生物钟的重要性质之一是内源节律的周期性,当前的研究认为这种周期性是由生物钟相关基因转录翻译的多反馈环路构成核心机制调控着近似24 h的节律振荡。哺乳动物的生物钟系统存在一个多层次的结构,包括位于视交叉上核的主时钟和外周器官和组织的子时钟。虽然主时钟和子时钟存在的组织不同,但是参与调节生物钟的分子机制是一致的。近年来,通过正向、反向遗传学方法和表观遗传学的研究方法,对生物钟的分子机制的解析和认知愈发深入。本文在简单回顾生物钟基因发现历史的基础上,重点从遗传学和表观遗传学两个方面,从振荡周期的角度,对哺乳动物生物钟分子机制的研究进展进行了综述性介绍,以期为靶向调节生物钟来改善机体的稳态系统的研究提供参考,同时希望能促进时间生物学领域与更多其他领域形成交叉研究。     

How many pieces to build a circadian clock?

Biological rhythms represent a fundamental property of various living organisms. In particular, circadian rhythms, i.e. rhythms with a period close to 24 hours, help organisms to adapt to environmental daily rhythms. Although various factors can entrain or reset rhythms, they persist even in the absence of external timing cue, showing that their generation is endogenous. Indeed, the suprachiasmatic nucleus (SCN) of the hypothalamus is considered to be the main circadian clock in mammals. Isolated SCN neurons have been shown to display circadian rhythms, and in each cell, a set of genes, called "clock genes", are devoted to the generation and regulation of rhythms. Recently, it has become obvious that the clock located in the SCN is not homogenous, but is rather composed of multiple functional components somewhat reminiscent of its neurochemical organization. The significance and implications of these findings are still poorly understood but pave the way for future exciting studies. Here, current knowledge concerning these distinct neuronal populations and the ways through which synchronization could be achieved, as well as the potential role of neuropeptides in both photic and non-photic resetting of the clock, are summarized. Finally, we discuss the role of the SCN within the circadian system, which also includes oscillators located in various tissues and cell types.