Phase resetting and phase singularity of an insect circannual oscillator

In circadian rhythms, the shape of the phase response curves (PRCs) depends on the strength of the resetting stimulus. Weak stimuli produce Type 1 PRCs with small phase shifts and a continuous transition between phase delays and advances, whereas strong stimuli produce Type 0 PRCs with large phase shifts and a distinct break point at the transition between delays and advances. A stimulus of an intermediate strength applied close to the break point in a Type 0 PRC sometimes produces arrhythmicity. A PRC for the circannual rhythm was obtained in pupation of the varied carpet beetle, Anthrenus verbasci, by superimposing a 4-week long-day pulse (a series of long days for 4 weeks) over constant short days. The shape of this PRC closely resembles that of the Type 0 PRC. The present study shows that the PRC to 2-week long-day pulses was Type 1, and that a 4-week long-day pulse administered close to the PRC’s break point induced arrhythmicity in pupation. It is, therefore, suggested that circadian and circannual oscillators share the same mode in phase resetting to the stimuli.     

A phase response curve for circannual rhythm in the varied carpet beetle <Emphasis Type="Italic">Anthrenus verbasci</Emphasis>

We know that entrainment, a stable phase relationship with an environmental cycle, must be established for a biological clock to function properly. Phase response curves (PRCs), which are plots of phase shifts that result as a function of the phase of a stimulus, have been created to examine the mode of entrainment. In circadian rhythms, single-light pulse PRCs have been obtained by giving a light pulse to various phases of a free-running rhythm under continuous darkness. This successfully explains the entrainment to light-dark cycles. Some organisms show circannual rhythms. In some of these, changes in photoperiod entrain the circannual rhythms. However, no single-pulse PRCs have been created. Here we show the PRC to a long-day pulse superimposed for 4 weeks over constant short days in the circannual pupation rhythm in the varied carpet beetle Anthrenus verbasci. Because the shape of that PRC closely resembles that of the Type 0 PRC with large phase shifts in circadian rhythms, we suggest that an oscillator having a common feature in the phase response with the circadian clock, produces a circannual rhythm.     

Psi-Mutation Affects Phase Angle Difference, Free-Running Period and Phase Shifts in Aedes krombeini (Stegomyia)

A new mutation, designated as psi-mutant, affecting the timing of the circadian oviposition rhythm was discovered the in natural population of Aedes krombeini . This mutation advanced the phase of the oviposition median in an entraining light-dark cycle of 12:12 h by ca. 7.0 h and shortened the free running period t in constant darkness (DD) by ca. 4.0 h. Early oviposition in psi-mutants was also observed when while free-running in DD they were subjected to 24-h temperature cycles (29°C for 12 h and l8°C for l2 h). When the phase response curves (PRCs) for light pulses against DD as background were measured, the PRC for the psi-mutant had large delaying phase shifts, whereas, that of the wild strain had small delaying phase shifts.     

Psi-Mutation Affects Phase Angle Difference,Free-Running Period and Phase Shifts in Aedes krombeini (Stegomyia)

A new mutation, designated as psi-mutant, affecting the timing of the circadian oviposition rhythm was discovered the in natural population of Aedes krombeini. This mutation advanced the phase of the oviposition median in an entraining light-dark cycle of 12:12 h by ca. 7.0 h and shortened the free running period t in constant darkness (DD) by ca. 4.0 h. Early oviposition in psi-mutants was also observed when while free-running in DD they were subjected to 24-h temperature cycles (29°C for 12 h and l8°C for l2 h). When the phase response curves (PRCs) for light pulses against DD as background were measured, the PRC for the psi-mutant had large delaying phase shifts, whereas, that of the wild strain had small delaying phase shifts.     

Circadian phototransduction: phase resetting and frequency of the circadian clock of Gonyaulax cells in red light

Constant red light (RR) influences the Gonyaulax clock in several ways: (1) Phase resetting by white or blue light pulses is stronger under background RR than in constant white light (WW); (2) frequency of the rhythm is less in RR than in WW; and (3) the amplitude of the spontaneous flashing rhythm is greater in RR than in WW. The phase response curve (PRC) to 4-hr white or blue light pulses is of high amplitude (Type 0) for cells in RR, but is of lower amplitude (Type 1) for cells in WW. In all cases, the PRC is highly asymmetrical: The magnitude of advance phase resetting is far higher than that of delay resetting. Consistent with this PRC, Gonyaulax cells in RR (free-running period greater than 24 hr) will entrain to T cycles of between 21 and 26.5 hr. The bioluminescence rhythms exhibit "masking" by blue light pulses while entrained to these T cycles. The fluence response of phase resetting to light-pulse intensity is not linear or logarithmic--rather, it is discontinuous. This feature is consistent with a limit cycle interpretation of Type 0 resetting of circadian clocks. Light pulses that cause large phase shifts also shorten the subsequent free-running period. The phase angle difference between the clock and the previous LD cycle is within 2 hr of the same phase between 16 degrees C and 25 degrees C, as determined from the light PRCs at various temperatures. Several drugs that inhibit mitochondria and/or electron transport will partially inhibit the phase shift by light.     

Effect of light intensity on the phase and period response curves in the nocturnal field mouse Mus booduga

The effect of light intensity on the phase response curve (PRC) and the period response curve (τRC) of the nocturnal field mouse Mus booduga was studied. PRCs and τRCs were constructed by exposing animals free-running in constant darkness (DD), to fluorescent light pulses (LPs) of 100 lux and 1000 lux intensities for 15min duration. The waveform of the PRCs and τRCs evoked by high light intensity (1000 lux) stimuli was significantly different compared to those constructed using low light intensity (100 lux). Moreover, a weak but significant correlation was observed between phase shifts and period changes when light stimuli of 1000 lux intensity were used; however, the phase shifts and period changes in the 100 lux PRC and τRC were not correlated. This suggests that the intensity of light stimuli affects both phase and period responses in the locomotor activity rhythm of the nocturnal field mouse M. booduga. These results indicate that complex mechanisms are involved in entrainment of circadian clocks, even in nocturnal rodents, in which PRC, τRC, and dose responses play a significant role.     

Re-Entrainment Behavior of Djungarian Hamsters (phodopus sungorus) with Different Rhythmic Phenotype Following Light-Dark Shifts

Djungarian hamsters bred at the authors' institute reveal two distinct circadian phenotypes, the wild-type (WT) and DAO type. The latter is characterized by a delayed activity-onset, probably due to a deficient mechanism for photic entrainment. Experiments with zeitgeber shifts have been performed to gain further insight into the mechanisms underlying this phenomenon. Advancing and delaying phase shifts were produced by a single lengthening or shortening of the dark (D) or light (L) time by 6?h. Motor activity was recorded by passive infrared motion detectors. All WT hamsters re-entrained following various zeitgeber shifts and nearly always in the same direction as the zeitgeber shift. On the other hand, a considerable proportion of the DAO animals failed to re-entrain and showed, instead, diurnal, arrhythmic, or free-running activity patterns. All but one of those hamsters that re-entrained did so by delaying their activity rhythm independently of the direction of the LD shift. Resynchronization occurred faster following a delayed than an advanced shift and also after changes of D rather than L. WT animals tended to re-entrain faster, particularly following a zeitgeber advance (where DAO hamsters re-entrained by an 18-h phase delay instead of a 6-h phase advance). However, the difference between phenotypes was statistically significant only with a shortening of L. To better understand re-entrainment behavior, Type VI phase-response curves (PRCs) were constructed. To do this, both WT and DAO animals were kept under LD conditions, and light pulses (15 min, 100 lux) were applied at different times of the dark span. In WT animals, activity-offset always showed phase advances, whereas activity-onset was phase delayed by light pulses applied during the first half of the dark time and not affected by light pulses applied during the second half. When the light pulse was given at the beginning of D, activity-onset responded more strongly, but light pulses given later in D produced significant changes only in activity-offset. In accord with the delayed activity-onset in DAO hamsters, no or only very weak phase-responses were observed when light pulses were given during the first hours of D. However, the second part of the PRCs was similar to that of WT hamsters, even though it was compressed to an interval of only a few hours and the shifts were smaller. Due to these differences, the first light-on or light-off following an LD shift fell into different phases of the PRC and thus caused different re-entrainment behavior. The results show that it is not only steady-state entrainment that is compromised in DAO hamsters but also their re-entrainment behavior following zeitgeber shifts. (Author correspondence: weinert@zoologie.uni-halle.de)     

Re-entrainment behavior of Djungarian hamsters (Phodopus sungorus) with different rhythmic phenotype following light-dark shifts

Djungarian hamsters bred at the authors' institute reveal two distinct circadian phenotypes, the wild-type (WT) and DAO type. The latter is characterized by a delayed activity-onset, probably due to a deficient mechanism for photic entrainment. Experiments with zeitgeber shifts have been performed to gain further insight into the mechanisms underlying this phenomenon. Advancing and delaying phase shifts were produced by a single lengthening or shortening of the dark (D) or light (L) time by 6?h. Motor activity was recorded by passive infrared motion detectors. All WT hamsters re-entrained following various zeitgeber shifts and nearly always in the same direction as the zeitgeber shift. On the other hand, a considerable proportion of the DAO animals failed to re-entrain and showed, instead, diurnal, arrhythmic, or free-running activity patterns. All but one of those hamsters that re-entrained did so by delaying their activity rhythm independently of the direction of the LD shift. Resynchronization occurred faster following a delayed than an advanced shift and also after changes of D rather than L. WT animals tended to re-entrain faster, particularly following a zeitgeber advance (where DAO hamsters re-entrained by an 18-h phase delay instead of a 6-h phase advance). However, the difference between phenotypes was statistically significant only with a shortening of L. To better understand re-entrainment behavior, Type VI phase-response curves (PRCs) were constructed. To do this, both WT and DAO animals were kept under LD conditions, and light pulses (15 min, 100 lux) were applied at different times of the dark span. In WT animals, activity-offset always showed phase advances, whereas activity-onset was phase delayed by light pulses applied during the first half of the dark time and not affected by light pulses applied during the second half. When the light pulse was given at the beginning of D, activity-onset responded more strongly, but light pulses given later in D produced significant changes only in activity-offset. In accord with the delayed activity-onset in DAO hamsters, no or only very weak phase-responses were observed when light pulses were given during the first hours of D. However, the second part of the PRCs was similar to that of WT hamsters, even though it was compressed to an interval of only a few hours and the shifts were smaller. Due to these differences, the first light-on or light-off following an LD shift fell into different phases of the PRC and thus caused different re-entrainment behavior. The results show that it is not only steady-state entrainment that is compromised in DAO hamsters but also their re-entrainment behavior following zeitgeber shifts.     

Is the PRC for Dark Pulses in LL a Mirror Image of the PRC for Light Pulses in DD in Mice?

The phase-response curves (PRC) for light pulses in continuous darkness (DD) have been described in many mammals, especially in nocturnal rodents. The PRC for dark pulses in continuous light (LL), however, has been described in a few mammals only, in nocturnal for bat and for hamster and in diurnal for Octodon degus, suggesting that this PRC is mirror imaging the PRC for light pulses. Therefore, the effect of 1-h and 3-h lasting dark pulses on the circadian wheel-running activity rhythm of mice in continuous light was investigated and then the PRC for dark pulses in LL was drawn up. For comparison, the effect of 1-h lasting light pulses on the circadian wheel-running activity rhythm of mice in DD was examined and the PRC for light pulses in DD was constructed. It appeared that the PRC for dark pulses, to a certain degree, represents a mirror image of the PRC for light pulses in mice. However, the advance region of this PRC is longer than that of delay. The mechanism of dark pulses action is discussed.     

Is the PRC for Dark Pulses in LL a Mirror Image of the PRC for Light Pulses in DD in Mice?

The phase-response curves (PRC) for light pulses in continuous darkness (DD) have been described in many mammals, especially in nocturnal rodents. The PRC for dark pulses in continuous light (LL), however, has been described in a few mammals only, in nocturnal for bat and for hamster and in diurnal for Octodon degus, suggesting that this PRC is mirror imaging the PRC for light pulses. Therefore, the effect of 1-h and 3-h lasting dark pulses on the circadian wheel-running activity rhythm of mice in continuous light was investigated and then the PRC for dark pulses in LL was drawn up. For comparison, the effect of 1-h lasting light pulses on the circadian wheel-running activity rhythm of mice in DD was examined and the PRC for light pulses in DD was constructed. It appeared that the PRC for dark pulses, to a certain degree, represents a mirror image of the PRC for light pulses in mice. However, the advance region of this PRC is longer than that of delay. The mechanism of dark pulses action is discussed.     

Effect of Light Intensity on the Phase and Period Response Curves in the Nocturnal Field Mouse Mus booduga

The effect of light intensity on the phase response curve (PRC) and the period response curve (τRC) of the nocturnal field mouse Mus booduga was studied. PRCs and τRCs were constructed by exposing animals free-running in constant darkness (DD), to fluorescent light pulses (LPs) of 100 lux and 1000 lux intensities for 15min duration. The waveform of the PRCs and τRCs evoked by high light intensity (1000 lux) stimuli was significantly different compared to those constructed using low light intensity (100 lux). Moreover, a weak but significant correlation was observed between phase shifts and period changes when light stimuli of 1000 lux intensity were used; however, the phase shifts and period changes in the 100 lux PRC and τRC were not correlated. This suggests that the intensity of light stimuli affects both phase and period responses in the locomotor activity rhythm of the nocturnal field mouse M. booduga. These results indicate that complex mechanisms are involved in entrainment of circadian clocks, even in nocturnal rodents, in which PRC, τRC, and dose responses play a significant role.     

Circadian phase shifting induced by clonidine injections in Syrian hamsters

Abstract

The mammalian circadian pacemaker can be phase shifted by photic, pharmacological, and behaviorally‐derived stimuli. The phase‐response curves (PRCs) characterizing these diverse stimuli may comprise two distinct families; a photic PRC typified by the response to brief light pulses, and a non‐photic PRC, typified by the response to dark pulses and to behavioral activation. The present study examined the phase shifting effects of acute systemic treatment with the alpha2‐adrenoceptor agonist, clonidine, in Syrian hamsters. Clonidine injections (0.25 mg/kg, ip) delivered during subjective night mimicked the phase shifting effects of light pulses in animals housed in both constant darkness (DD) and constant red light (RR), but similar effects were not seen in saline‐treated controls. Both clonidine and saline injections resulted in phase advances during subjective day, but only in RR‐housed animals. Clonidine‐induced phase shifting was dose‐dependent, but rather high doses were required to induce phase shifts. Pretreatment with the selective noradrenergic neurotoxin, DSP‐4, blocked clonidine‐induced phase shifting. These results suggest that clonidine acts at presynaptic alpha2‐adrenergic autoreceptors to disinhibit spontaneous and/or evoked activity in the photic entrainment pathway.     

Temperature effect on entrainment,phase shifting,and amplitude of circadian clocks and its molecular bases

Effects of temperature and temperature changes on circadian clocks in cyanobacteria, unicellular algae, and plants, as well as fungi, arthropods, and vertebrates are reviewed. Periodic temperature with periods around 24 h even in the low range of 1-2 degrees C (strong Zeitgeber effect) can entrain all ectothermic (poikilothermic) organisms. This is also reflected by the phase shifts-recorded by phase response curves (PRCs)-that are elicited by step- or pulsewise changes in the temperature. The amount of phase shift (weak or strong type of PRC) depends on the amplitude of the temperature change and on its duration when applied as a pulse. Form and position of the PRC to temperature pulses are similar to those of the PRC to light pulses. A combined high/low temperature and light/dark cycle leads to a stabile phase and maximal amplitude of the circadian rhythm-when applied in phase (i.e., warm/light and cold/dark). When the two Zeitgeber cycles are phase-shifted against each other the phase of the circadian rhythm is determined by either Zeitgeber or by both, depending on the relative strength (amplitude) of both Zeitgeber signals and the sensitivity of the species/individual toward them. A phase jump of the circadian rhythm has been observed in several organisms at a certain phase relationship of the two Zeitgeber cycles. Ectothermic organisms show inter- and intraspecies plus seasonal variations in the temperature limits for the expression of the clock, either of the basic molecular mechanism, and/or the dependent variables. A step-down from higher temperatures or a step-up from lower temperatures to moderate temperatures often results in initiation of oscillations from phase positions that are about 180 degrees different. This may be explained by holding the clock at different phase positions (maximum or minimum of a clock component) or by significantly different levels of clock components at the higher or lower temperatures. Different permissive temperatures result in different circadian amplitudes, that usually show a species-specific optimum. In endothermic (homeothermic) organisms periodic temperature changes of about 24 h often cause entrainment, although with considerable individual differences, only if they are of rather high amplitudes (weak Zeitgeber effects). The same applies to the phase-shifting effects of temperature pulses. Isolated bird pineals and rat suprachiasmatic nuclei tissues on the other hand, respond to medium high temperature pulses and reveal PRCs similar to that of light signals. Therefore, one may speculate that the self-selected circadian rhythm of body temperature in reptiles or the endogenously controlled body temperature in homeotherms (some of which show temperature differences of more than 2 degrees C) may, in itself, serve as an internal entraining system. The so-called heterothermic mammals (undergoing low body temperature states in a daily or seasonal pattern) may be more sensitive to temperature changes. Effects of temperature elevation on the molecular clock mechanisms have been shown in Neurospora (induction of the frequency (FRQ) protein) and in Drosophila (degradation of the period (PER) and timeless (TIM) protein) and can explain observed phase shifts of rhythms in conidiation and locomotor activity, respectively. Temperature changes probably act directly on all processes of the clock mechanism some being more sensitive than the others. Temperature changes affect membrane properties, ion homeostasis, calcium influx, and other signal cascades (cAMP, cGMP, and the protein kinases A and C) (indirect effects) and may thus influence, in particular, protein phosphorylation processes of the clock mechanism. The temperature effects resemble to some degree those induced by light or by light-transducing neurons and their transmitters. In ectothermic vertebrates temperature changes significantly affect the melatonin rhythm, which in turn exerts entraining (phase shifting) functions.     

Probing the circadian pacemaker of a mouse using two light pulses

In two separate sets of experiments, the phases of the locomotor activity rhythm of the nocturnal field mouse Mus booduga were probed using two light pulses (LPs). In the first set of experiments, the circadian pacemaker underlying the locomotor activity rhythm was perturbed at circadian time 14 (CT 14) using a resetting light pulse LP1 of 1000 lux intensity and 15 min duration. The phases of the resetting pacemaker were then probed at all even CTs between CT 16 and CT 14 using a PRC probing light pulse LP2 of equal strength. The "LP2 PRC" thus obtained was then compared with the single light pulse PRC in terms of the area under delay (D) and advance (A) zones of the PRCs. The time course and waveform of the two LP PRCs suggest that the LP2 PRC resembled the single LP PRC, displaced by 2 h toward the right. The LP1 PRC had smaller D compared to the single LP PRC (p = 0.007), whereas both the PRCs had A of equal magnitude (p = 0.23). This suggests that the pacemaker phase shifts rapidly after LP perturbations. In the second set of experiments, the LP1 was administered at CT 14. The phase of the pacemaker was then perturbed on day 1 (next cycle after LP1) either 2 h after activity onset (at ca. CT 14 of the transient cycle) or 8 h after activity onset (at ca. CT 20 of the transient cycle) using an LP2 of equal strength. It was observed that the steady-state phase shifts evoked by positioning an LP2, 2 h after activity onset, were positively correlated with the phase shifts observed on day 1. The steady-state phase shifts observed, when the LP2 was positioned, 8 h after activity onset, were negatively correlated with the phase shifts observed on day 1. These results suggest that the transient cycles do not mirror the state of the pacemaker oscillator.     

Phase and period responses to short light pulses in a wild diurnal rodent,Funambulus pennanti

Photic phase response curves (PRCs) have been extensively studied in many laboratory-bred diurnal and nocturnal rodents. However, comparatively fewer studies have addressed the effects of photic cues on wild diurnal mammals. Hence, we studied the effects of short durations of light pulses on the circadian systems of the diurnal Indian Palm squirrel, Funambulus pennanti. Adult males entrained to a light–dark cycle (12?h–12?h) were transferred to constant darkness (DD). Free-running animals were exposed to brief light pulses (250 lux) of 15?min, 3 circadian hours (CT) apart (CT 0, 3, 6, 9, 12, 15, 18 and 21). Phase shifts evoked at different phases were plotted against CT and a PRC was constructed. F. pennanti exhibited phase-dependent phase shifts at all the CTs studied, and the PRC obtained was of type 1 at the intensity of light used. Phase advances were evoked during the early subjective day and late subjective night, while phase delays occurred during the late subjective day and early subjective night, with maximum phase delay at CT 15 (?2.04?±?0.23?h), and maximum phase advance at CT 21 (1.88?±?0.31?h). No dead zone was seen at this resolution. The free-running period of the rhythm was concurrently lengthened (deceleration) during the late subjective day and early subjective night, while period shortening (acceleration) occurred during the late subjective night. The maximum deceleration was noticed at CT 15 (?0.40?±?0.09?h) and the maximum acceleration at CT 21 (0.39?±?0.07?h). A significant positive correlation exists between the phase shifts and the period changes (r?=?0.684, p?=?0.001). The shapes of both the PRC and period response curve (τRC) qualitatively resemble each other. This suggests that the palm squirrel’s circadian system is entrained both by phase and period responses to light. Thus, F. pennanti exhibits robust clock-resetting in response to light pulses.     

Circadian phase response curves for dark pulses in the hamster

Summary Hamsters maintained under constant illumination were exposed to 2- or 6-h pulses of darkness at various phases of their circadian activity rhythms. When presented around the time of activity onset, the pulses resulted in phase advances, and when presented toward the end of daily activity, they resulted in phase delays. Since others have shown that light pulses presented at the same phases in constant darkness cause phase shifts in the opposite directions, these results indicate that phase response curves for light and dark pulses are mirror images.Dark pulses also caused phase-dependent changes, both transient and long-lasting, in the period of the free-running rhythms, and a few pulses were immediately followed by splitting of the activity rhythms into two components. Such effects may reflect a differential responsiveness of two coupled oscillators to dark pulses.Abbreviations CT circadian time - DD constant dark - LD lightdark - LL constant light - PRC phase response curve - SD subjective day - SN subjective night - period of a circadian rhythm Supported by grants from the NSERC of Canada to B. Rusak and to G.V. Goddard. We are grateful to Dr. Goddard for his support and encouragement     

Melatonin enhances the sensitivity of circadian pacemakers to light in the nocturnal field mouse Mus booduga

The effect of exogenous melatonin (1 mg/kg) on light pulse (LP) induced phase shifts of the circadian locomotor activity rhythm was studied in the nocturnal field mouse Mus booduga. Three phase response curves (PRCs: LP, control, and experimental) were constructed to study the effect of co-administration of light and melatonin at various circadian times (CTs). The LP PRC was constructed by exposing animals free-running in constant darkness (DD) to LPs of 100-lux intensity and 15-min duration, at various CTs. The control and experimental PRCs were constructed by using a single injection of either 50% DMSO or melatonin (1 mg/kg dissolved in 50% DMSO), respectively, administered 5 min before LPs, to animals free-running in DD. A single dose of melatonin significantly modified the waveform of the LP PRC. The experimental PRC had significantly larger areas under advance and delay regions of the PRC compared to the control PRC. This was also confirmed when the phase shifts obtained at various CTs were compared between the three PRCs. The phase delays at three phases (CT12, CT14, and CT16) of the experimental PRCs were significantly greater than those of the control and the LP PRCs. Based on these results we conclude that phase shifting effects of melatonin and light add up to produce larger responses.     

Circadian control of spontaneous flight activity in the blowfly, Lucilia cuprina

ABSTRACT. Under laboratory light: dark cycles, the flight activity of adult Lucilia cuprina (Wied.) was low during darkness and uniformity high during light. This pattern persisted as a rhythm both in constant darkness and in constant light of intensity up to 1lx, with a period of approximately 22 h in each. Light pulses of 15 min at l00lx applied to the free-running rhythm in constant darkness generated phase shifts of up to 60°, 12-h light pulses of the same intensity generated maximal (180°) phase shifts. The phase response curves had shapes similar to those of a number of other insect rhythms. When exposed to light periods (70 lx) of greater than 12 h followed by constant darkness, the rhythm reinitiated at the light-dark transition from a constant phase equivalent to that at the time of the light-dark transition in the LD 12:12 cycle.     

Effects of temperature and temperature-steps on circadian locomotor rhythmicity in the blow fly Calliphora vicina

The free-running period (in darkness) of the locomotor activity rhythm in adult blow flies (Calliphora vicina) was temperature-compensated between 15 and 25 degrees C, showing Q(10) values between 0.98 and 1.04. Single steps-up (20 to 25 degrees C) or steps-down (20 to 15 degrees C) in temperature caused stable phase shifts of the activity rhythm, giving rise to temperature-step phase response curves (PRCs) with both advances and delays. Phase advances, however, were dominant for steps-up, and phase delays for steps-down; the two PRCs were almost "mirror images" of each other. Following protocols introduced by Zimmerman et al. [(1968) Temperature compensation of the circadian oscillation in Drosophila pseudoobscura and its entrainment by temperature cycles, Journal of Insect Physiology, 14, 669-684] for the rhythm of pupal eclosion in Drosophila pseudoobscura, the steps-up and steps-down PRCs for C. vicina were used to compute a theoretical PRC for a 6 h low temperature pulse, and from this a theoretical steady-state phase relationship of the locomotor activity rhythm to a train of such pulses making up a temperature cycle (18 h at 20 degrees and 6 h at 15 degrees C).     

Natural Twilight Phase‐Response Curves for the Cave‐Dwelling Bat,Hipposideros Speoris

Phase‐response curves (PRCs) for the circadian rhythm of flight activity of the microchiropteran bat (Hipposideros speoris) were determined in a cave, employing discrete natural dawn and dusk twilight pulses. These PRCs are reported for the first time for any circadian system and they are unlike other PRCs constructed for nocturnal mammals. Dawn and dusk twilight pulses evoked advance and delay phase shifts, respectively. Advance phase shifts were followed by 3 to 4 advancing transients and a subsequent shortening of free‐running period (τ); whereas, the delay phase shifts were instantaneous without any transients but with a subsequent lengthening of τ.