Optimal growth strategies when mortality and production rates are size-dependent

Pontryagin's maximum principle from optimal control theory is used to find the optimal allocation of energy between growth and reproduction when lifespan may be finite and the trade-off between growth and reproduction is linear. Analyses of the optimal allocation problem to date have generally yielded bang-bang solutions, i.e. determinate growth: life-histories in which growth is followed by reproduction, with no intermediate phase of simultaneous reproduction and growth. Here we show that an intermediate strategy (indeterminate growth) can be selected for if the rates of production and mortality either both increase or both decrease with increasing body size, this arises as a singular solution to the problem. Our conclusion is that indeterminate growth is optimal in more cases than was previously realized. The relevance of our results to natural situations is discussed.

Size-dependent predation by Dugesia lugubris (Turbellaria) on Physa acuta (Gastropoda): experiments and model

1. We investigated experimentally predation by the flatworm Dugesia lugubris on the snail Physa acuta in relation to predator body length and to prey morphology [shell length (SL) and aperture width (AW)]. 2. SL and AW correlate strongly in the field, but display significant and independent variance among populations. In the laboratory, predation by Dugesia resulted in large and significant selection differentials on both SL and AW. Analysis of partial effects suggests that selection on AW was indirect, and mediated through its strong correlation with SL. 3. The probability P(ij) for a snail of size category i (SL) to be preyed upon by a flatworm of size category j was fitted with a Poisson-probability distribution, the mean of which increased linearly with predator size (i). Despite the low number of parameters, the fit was excellent (r2 = 0.96). We offer brief biological interpretations of this relationship with reference to optimal foraging theory. 4. The largest size class of Dugesia (>2 cm) did not prey on snails larger than 7 mm shell length. This size threshold might offer Physa a refuge against flatworm predation and thereby allow coexistence in the field. 5. Our results are further discussed with respect to previous field and laboratory observations on P acuta life-history patterns, in particular its phenotypic variance in adult body size.

Characterization of high osmolarity-induced vacuole fragmentation in "Saccharomyces c."

La majorité des organelles d'une cellule adaptent leur nombre et leur taille pendant les processus de division cellulaire, de trafic vésiculaire ou suite à des changements environnementaux par des processus de fusion et de fragmentation membranaires. Ceci est valable notamment pour le golgi, les mitochondries, les péroxisomes et les lysosomes. La vacuole est le compartiment terminal de la voie endocytaire dans la levure Saccharomyces cerevisiae\ elle correspond aux lysosomes des cellules mammifères. Suite à un choc hyperosmotique, la vacuole se fragmente en plusieurs petites vésicules. Durant ce projet, cette fragmentation a été étudiée en utilisant la technique de microscopie confocale in vivo. J'ai observé que la division de la vacuole se produit d'une façon asymétrique. La première minute après le choc osmotique, les vacuoles rétrécissent et forment des longues invaginations tubulaires. Cette phase est dépendante de la protéine Vps1, un membre de la famille des protéines apparentées à la dynamine, ainsi que d'un gradient transmembranaire de protons. Pendant les 10-15 minutes qui suivent, des vésicules se détachent dans les régions où l'on observe les invaginations pendant la phase initiale. Cette deuxième phase qui mène à la fission des nouveaux compartiments vacuolaires dépend de la production du lipide PI(3,5)P2 par la protéine Fab1. J'ai établi la suite des événements du processus de fragmentation des vacuoles et propose la possibilité d'un rôle régulateur de la protéine kinase cycline-dépendante Pho85.¦En outre, j'ai tenté d'éclaircir plus spécifiquement le rôle de Vps1 pendant la fusion et fission des vacuoles. J'ai trouvé que tous les deux processus sont dépendants de l'activité GTPase de cette protéine. De plus l'association avec la membrane vacuolaire paraît régulée par le cycle d'hydrolyse du GTP. Vps1 peut lier la membrane sans la présence d'un autre facteur protéinique, ce qui permet de conclure à une interaction directe avec des lipides de la membrane. Cette interaction est au moins partiellement effectuée par le domaine GTPase, ce qui est une nouveauté pour un membre de cette famille de protéines. Une deuxième partie de Vps1, nommée insert B, est impliquée dans la liaison à la vacuole, soit par interaction directe avec la membrane, soit par régulation du domaine GTPase. En assumant que Vps1 détienne deux régions capables de liaison aux membranes, je conclus qu'elle pourrait fonctionner comme facteur de « tethering » lors de la fusion des vacuoles.¦-¦La cellule contient plusieurs sous-unités, appelées organelles, possédant chacune une fonction spécifique. Dépendant des processus qui s'y déroulent à l'intérieur, un environnement chimique spécifique est requis. Pour maintenir ces différentes conditions, les organelles sont séparées par des membranes. Lors de la division cellulaire ou en adaptation à des changements de milieu, les organelles doivent être capables de modifier leur morphologie. Cette adaptation a souvent lieu par fusion ou division des organelles. Le même principe est valable pour la vacuole dans la levure. La vacuole est une organelle qui sert principalement au stockage des aliments et à la dégradation des différents composants cellulaires. Alors que la fusion des vacuoles est un processus déjà bien décrit, la fragmentation des vacuoles a jusqu'ici été peu étudiée. Elle peut être induit par un choc osmotique: à cause de la concentration de sel élevé dans le milieu, le cytosol de la levure perd de l'eau. Par un flux d'eau de la vacuole au cytosol, la cellule est capable d'équilibrer celui-ci. Quand la vacuole perd du volume, elle doit réadapter le rapport entre surface membranaire et volume, ce qui se fait efficacement par une fragmentation d'une grande vacuole en plusieurs petites vésicules. Comment ce processus se déroule d'un point de vue morphologique n'a pas été décrit jusqu'à présent. En analysant la fragmentation vacuolaire par microscopie, j'ai trouvé que celle-ci se déroule en deux phases. Pendant la première minute suivant le choc osmotique, les vacuoles rétrécissent et forment des longues invaginations tubulaires. Cette phase dépend de la protéine Vps1, un membre de la famille des protéines apparentées à la dynamine, ainsi que du gradient transmembranaire de protons. Ce gradient s'établit par une pompe membranaire, la V-ATPase, qui transporte des protons dans la vacuole en utilisant l'énergie libérée par hydrolyse d'ATP. Après cette phase initiale, la formation de nouvelles vésicules vacuolaires dépend de la synthèse du lipide PI(3,5)P2.¦Dans la deuxième partie de l'étude, j'ai tenté de décrire comment Vps1 lie la membrane pour effectuer un remodelage de la vacuole. Vps1 est nécessaire pour la fusion et la fragmentation des vacuoles. J'ai découvert que tous les deux processus dépendent de sa capacité d'hydrolyser du GTP. Ainsi l'association avec la membrane est couplée au cycle d'hydrolyse du GTP. Vps1 peut lier la membrane sans la présence d'une autre protéine, et interagit donc très probablement avec les lipides de la membrane. Deux parties différentes de la protéine sont impliquées dans la liaison, dont une, inattendue, le domaine GTPase.¦-¦Numerous organelles undergo membrane fission and fusion events during cell division, vesicular traffic, or in response to changes in environmental conditions. Examples include Golgi (Acharya et al., 1998) mitochondria (Bleazard et al., 1999) peroxisomes (Kuravi et al., 2006) and lysosomes (Ward et al., 1997). In the yeast Saccharomyces cerevisiae the vacuole is the terminal component of the endocytic pathway and corresponds to lysosomes in mammalian cells. Yeast vacuoles fragment into multiple small vesicles in response to a hypertonic shock. This rapid and homogeneous reaction can serve as a model to study the requirements of the fragmentation process. Here, I investigated osmotically induced fragmentation by time-lapse microscopy. I observe that the small fragmentation products originate directly from the large central vacuole by asymmetric scission rather than by consecutive equal divisions and that fragmentation occurs in two distinct phases. During the first minute, vacuoles shrink and generate deep invaginations, leaving behind tubular structures. This phase requires the dynamin-like GTPase Vps1 and the vacuolar proton gradient. In the subsequent 10-15 minutes, vesicles pinch off from the tubular structures in a polarized fashion, directly generating fragmentation products of the final size. This phase depends on the production of phosphatidylinositol- 3,5-bisphosphate by the Fab1 complex. I suggest a possible regulation of vacuole fragmentation by the CDK Pho85. Based on my microscopy study I established a sequential involvement of the different fission factors.¦In addition to the morphological description of vacuole fragmentation I more specifically aimed to shed some light on the role of Vps1 in vacuole fragmentation and fusion. I find that both functions are dependent on the GTPase activity of the protein and that also the membrane association of the dynamin-like protein is coupled to the GTPase cycle. I found that Vps1 has the capacity for direct lipid binding on the vacuole and that this lipid binding is at least partially mediated through residues in the GTPase domain, a complete novelty for a dynamin family member. A second stretch located in the region of insert Β has also membrane-binding activity or regulates the association with the vacuole through the GTPase domain. Under the assumption of two membrane-binding regions I speculate on Vps1 as a possible tethering factor for vacuole fusion.

Role of the HCF-1 basic region in sustaining cell proliferation.

BACKGROUND: The human herpes simplex virus-associated host cell factor 1 (HCF-1) is a conserved human transcriptional co-regulator that links positive and negative histone modifying activities with sequence-specific DNA-binding transcription factors. It is synthesized as a 2035 amino acid precursor that is cleaved to generate an amino- (HCF-1(N)) terminal subunit, which promotes G1-to-S phase progression, and a carboxy- (HCF-1(C)) terminal subunit, which controls multiple aspects of cell division during M phase. The HCF-1(N) subunit contains a Kelch domain that tethers HCF-1 to sequence-specific DNA-binding transcription factors, and a poorly characterized so called "Basic" region (owing to a high ratio of basic vs. acidic amino acids) that is required for cell proliferation and has been shown to associate with the Sin3 histone deacetylase (HDAC) component. Here we studied the role of the Basic region in cell proliferation and G1-to-S phase transition assays. METHODOLOGY/PRINCIPAL FINDINGS: Surprisingly, much like the transcriptional activation domains of sequence-specific DNA-binding transcription factors, there is no unique sequence within the Basic region required for promoting cell proliferation or G1-to-S phase transition. Indeed, the ability to promote these activities is size dependent such that the shorter the Basic region segment the less activity observed. We find, however, that the Basic region requirements for promoting cell proliferation in a temperature-sensitive tsBN67 cell assay are more stringent than for G1-to-S phase progression in an HCF-1 siRNA-depletion HeLa-cell assay. Thus, either half of the Basic region alone can support G1-to-S phase progression but not cell proliferation effectively in these assays. Nevertheless, the Basic region displays considerable structural plasticity because each half is able to promote cell proliferation when duplicated in tandem. Consistent with a potential role in promoting cell-cycle progression, the Sin3a HDAC component can associate independently with either half of the Basic region fused to the HCF-1 Kelch domain. CONCLUSIONS/SIGNIFICANCE: While conserved, the HCF-1 Basic region displays striking structural flexibility for controlling cell proliferation.

Comparative testing of a miniature diffusion size classifier to assess airborne ultrafine particles under field conditions

Miniature diffusion size classifiers (miniDiSC) are novel handheld devices to measure ultrafine particles (UFP). UFP have been linked to the development of cardiovascular and pulmonary diseases; thus, detection and quantification of these particles are important for evaluating their potential health hazards. As part of the UFP exposure assessments of highwaymaintenance workers in western Switzerland, we compared a miniDiSC with a portable condensation particle counter (P-TRAK). In addition, we performed stationary measurements with a miniDiSC and a scanning mobility particle sizer (SMPS) at a site immediately adjacent to a highway. Measurements with miniDiSC and P-TRAK correlated well (correlation of r = 0.84) but average particle numbers of the miniDiSC were 30%âeuro"60% higher. This difference was significantly increased for mean particle diameters below 40 nm. The correlation between theminiDiSC and the SMPSduring stationary measurements was very high (r = 0.98) although particle numbers from the miniDiSC were 30% lower. Differences between the three devices were attributed to the different cutoff diameters for detection. Correction for this size dependent effect led to very similar results across all counters.We did not observe any significant influence of other particle characteristics. Our results suggest that the miniDiSC provides accurate particle number concentrations and geometric mean diameters at traffic-influenced sites, making it a useful tool for personal exposure assessment in such settings.

Genetic differentiation for size at first reproduction through male versus female functions in the widespread Mediterranean tree Pinus pinaster.

BACKGROUND AND AIMS: The study of local adaptation in plant reproductive traits has received substantial attention in short-lived species, but studies conducted on forest trees are scarce. This lack of research on long-lived species represents an important gap in our knowledge, because inferences about selection on the reproduction and life history of short-lived species cannot necessarily be extrapolated to trees. This study considers whether the size for first reproduction is locally adapted across a broad geographical range of the Mediterranean conifer species Pinus pinaster. In particular, the study investigates whether this monoecious species varies genetically among populations in terms of whether individuals start to reproduce through their male function, their female function or both sexual functions simultaneously. Whether differences among populations could be attributed to local adaptation across a climatic gradient is then considered. METHODS: Male and female reproduction and growth were measured during early stages of sexual maturity of a P. pinaster common garden comprising 23 populations sampled across the species range. Generalized linear mixed models were used to assess genetic variability of early reproductive life-history traits. Environmental correlations with reproductive life-history traits were tested after controlling for neutral genetic structure provided by 12 nuclear simple sequence repeat markers. KEY RESULTS: Trees tended to reproduce first through their male function, at a size (height) that varied little among source populations. The transition to female reproduction was slower, showed higher levels of variability and was negatively correlated with vegetative growth traits. Several female reproductive traits were correlated with a gradient of growth conditions, even after accounting for neutral genetic structure, with populations from more unfavourable sites tending to commence female reproduction at a lower individual size. CONCLUSIONS: The study represents the first report of genetic variability among populations for differences in the threshold size for first reproduction between male and female sexual functions in a tree species. The relatively uniform size at which individuals begin reproducing through their male function probably represents the fact that pollen dispersal is also relatively invariant among sites. However, the genetic variability in the timing of female reproduction probably reflects environment-dependent costs of cone production. The results also suggest that early sex allocation in this species might evolve under constraints that do not apply to other conifers.

Mating order-dependent female mate choice in the polygynandrous common lizard Lacerta vivipara.

Recent studies indicate that directional female mate choice and order-dependent female mate choice importantly contribute to non-random mating patterns. In species where females prefer larger sized males, disentangling different hypotheses leading to non-random mating patterns is especially difficult, given that male size usually correlates with behaviours that may lead to non-random mating (e.g. size-dependent emergence from hibernation, male fighting ability). Here we investigate female mate choice and order-dependent female mate choice in the polygynandrous common lizard (Lacerta vivipara). By sequentially presenting males in random order to females, we exclude non-random mating patterns potentially arising due to intra-sexual selection (e.g. male-male competition), trait-dependent encounter probabilities, trait-dependent conspicuousness, or trait-dependent emergence from hibernation. To test for order-dependent female mate choice we investigate whether the previous mating history affects female choice. We show that body size and body condition of the male with which a female mated for the first time were bigger and better, respectively, than the average body size and body condition of the rejected males. There was a negative correlation between body sizes of first and second copulating males. This indicates that female mate choice is dependent on the previous mating history and it shows that the female's choice criteria are non-static, i.e. non-directional. Our study therefore suggests that context-dependent female mate choice may not only arise due to genotype-environment interactions, but also due to other female mating strategies, i.e. order-dependent mate choice. Thus context-dependent female mate choice might be more frequent than previously thought.

Yeast vacuoles fragment in an asymmetrical two-phase process with distinct protein requirements.

Yeast vacuoles fragment and fuse in response to environmental conditions, such as changes in osmotic conditions or nutrient availability. Here we analyze osmotically induced vacuole fragmentation by time-lapse microscopy. Small fragmentation products originate directly from the large central vacuole. This happens by asymmetrical scission rather than by consecutive equal divisions. Fragmentation occurs in two distinct phases. Initially, vacuoles shrink and generate deep invaginations that leave behind tubular structures in their vicinity. Already this invagination requires the dynamin-like GTPase Vps1p and the vacuolar proton gradient. Invaginations are stabilized by phosphatidylinositol 3-phosphate (PI(3)P) produced by the phosphoinositide 3-kinase complex II. Subsequently, vesicles pinch off from the tips of the tubular structures in a polarized manner, directly generating fragmentation products of the final size. This phase depends on the production of phosphatidylinositol-3,5-bisphosphate and the Fab1 complex. It is accelerated by the PI(3)P- and phosphatidylinositol 3,5-bisphosphate-binding protein Atg18p. Thus vacuoles fragment in two steps with distinct protein and lipid requirements.

Effect of epinephrine on oxygen consumption and delivery during progressive hemorrhage.

OBJECTIVE: To determine whether, during hemorrhagic shock, the effect of epinephrine on energy metabolism could be deleterious, by enhancing the oxygen requirement at a given level of oxygen delivery (DO2). DESIGN: Prospective, randomized, control trial. SETTING: Experimental laboratory. SUBJECTS: Two groups of seven mongrel dogs were studied. The epinephrine group received a continuous infusion of epinephrine (1 microgram/min/kg) while the control group received saline. INTERVENTION: Dogs were anesthetized with pentobarbital, and shock was produced by stepwise hemorrhage. MEASUREMENTS AND MAIN RESULTS: Oxygen consumption (VO2) was continuously measured by the gas exchange technique, while DO2 was independently calculated from cardiac output (measured by thermodilution) and blood oxygen content. A dual-lines regression fit was applied to the DO2 vs. VO2 plot. The intersection of the two regression lines defined the critical value of DO2. Values above critical DO2 belonged to phase 1, while phase 2 occurred below critical DO2. In the control group, VO2 was independent of DO2 during phase 1; VO2 was dependent on DO2 during phase 2. In the epinephrine group, the expected increase in VO2 (+19%) and DO2 (+50%) occurred under normovolemic conditions. During hemorrhage, VO2 immediately decreased, and the slope of phase 1 was significantly (p < .01) different from zero, and was significantly (p < .05) steeper than in the control group (0.025 +/- 0.005 vs. 0.005 +/- 0.010). However, the critical DO2 (8.7 +/- 1.7 vs. 9.7 +/- 2.4 mL/min/kg), the critical VO2 (5.6 +/- 0.5 vs. 5.5 +/- 0.9 mL/min/kg), and the slope of phase 2 (0.487 +/- 0.080 vs. 0.441 +/- 0.130) were not different from control values. CONCLUSIONS: The administration of pharmacologic doses of epinephrine significantly increased VO2 under normovolemic conditions due to the epinephrine-induced thermogenic effect. This effect progressively decreased during hemorrhage. The critical DO2 and the relationship between DO2 and VO2 in the supply-dependent phase of shock were unaffected by epinephrine infusion. These results suggest that during hemorrhagic shock, epinephrine administration did not exert a detrimental effect on the relationship between DO2 and VO2.

On the origin of the ultradeep East Barents Sea basin

Very large subsidence, with up to 20 km thick sediment layers, is observed in the East Barents Sea basin. Subsidence started in early Paleozoic, accelerated in Permo-Triassic times, finished during the middle Cretaceous, and was followed by moderate uplift in Cenozoic times. The observed gravity signal suggests that the East Barents Sea is at present in isostatic balance and indicates that a mass excess is required in the lithosphere to produce the observed large subsidence. Several origins have been proposed for the mass excess. We use 1-D thermokinematic modeling and 2-D isostatic density models of continental lithosphere to evaluate these competing hypotheses. The crustal density in 2-D thermokinematic models resulting from pressure-, temperature-, and composition-dependent phase change models is computed along transects crossing the East Barents Sea. The results indicate the following. (1) Extension can only explain the observed subsidence provided that a 10 km thick serpentinized mantle lens beneath the basin center is present. We conclude that this is unlikely given that this highly serpentinized layer should be formed below a sedimentary basin with more than 10 km of sediments and crust at least 10 km thick. (2) Phase changes in a compositionally homogeneous crust do not provide enough mass excess to explain the present-day basin geometry. (3) Phase change induced densification of a preexisting lower crustal gabbroic body, interpreted as a mafic magmatic underplate, can explain the basin geometry and observed gravity anomalies. The following model is proposed for the formation of the East Barents Sea basin: (1) Devonian rifting and extension related magmatism resulted in moderate thinning of the crust and a mafic underplate below the central basin area explaining initial late Paleozoic subsidence. (2) East-west shortening during the Permian and Triassic resulted in densification of the previously emplaced mafic underplated body and enhanced subsidence dramatically, explaining the present-day deep basin geometry.

An external site controls closing of the epithelial Na+ channel ENaC.

Members of the ENaC/degenerin family of ion channels include the epithelial sodium channel (ENaC), acid-sensing ion channels (ASICs) and the nematode Caenorhabditis elegans degenerins. These channels are activated by a variety of stimuli such as ligands (ASICs) and mechanical forces (degenerins), or otherwise are constitutively active (ENaC). Despite their functional heterogeneity, these channels might share common basic mechanisms for gating. Mutations of a conserved residue in the extracellular loop, namely the 'degenerin site' activate all members of the ENaC/degenerin family. Chemical modification of a cysteine introduced in the degenerin site of rat ENaC (betaS518C) by the sulfhydryl reagents MTSET or MTSEA, results in a approximately 3-fold increase in the open probability. This effect is due to an 8-fold shortening of channel closed times and an increase in the number of long openings. In contrast to the intracellular gating domain in the N-terminus which is critical for channel opening, the intact extracellular degenerin site is necessary for normal channel closing, as illustrated by our observation that modification of betaS518C destabilises the channel closed state. The modification by the sulfhydryl reagents is state- and size-dependent consistent with a conformational change of the degenerin site during channel opening and closing. We propose that the intracellular and extracellular modulatory sites act on a common channel gate and control the activity of ENaC at the cell surface.

Tectonic subsidence of the Lomonosov Ridge

The Cenozoic sedimentary record revealed by the Integrated Ocean Drilling Program's Arctic Coring Expedition (ACEX) to the Lomonosov Ridge microcontinent in 2004 is characterized by an unconformity attributed to the period 44-18 Ma. According to conventional thermal kinematic models, the microcontinent should have subsided to >1 km depth owing to rifting and subsequent separation from the Barents-Kara Sea margin at 56 Ma. We propose an alternative model incorporating a simple pressure-temperature (P-T) relation for mantle density. Using this model, we can explain the missing stratigraphic section by post-breakup uplift and erosion. The pattern of linear magnetic anomalies and the spreading geometry imply that the generation of oceanic crust in the central Eurasia Basin could have been restricted and confined by non-volcanic thinning of the mantle lithosphere at an early stage (ca. 56-40 Ma). In response to a rise in temperature, the mantle mineral composition may have changed through breakdown of spinet peridotite and formation of less dense plagioclase peridotite. The consequence of lithosphere heating and related mineral phase transitions would be post-breakup uplift followed by rapid subsidence to the deep-water environment observed on the Lomonosov Ridge today.

Within- and among-population impact of genetic erosion on adult fitness-related traits in the European tree frog Hyla arborea.

Assessing in wild populations how fitness is impacted by inbreeding and genetic drift is a major goal for conservation biology. An approach to measure the detrimental effects of inbreeding on fitness is to estimate correlations between molecular variation and phenotypic performances within and among populations. Our study investigated the effect of individual multilocus heterozygosity on body size, body condition and reproductive investment of males (that is, chorus attendance) and females (that is, clutch mass and egg size) in both small fragmented and large non-fragmented populations of European tree frog (Hyla arborea). Because adult size and/or condition and reproductive investment are usually related, genetic erosion may have detrimental effects directly on reproductive investment, and also on individual body size and condition that in turn may affect reproductive investment. We confirmed that the reproductive investment was highly size-dependent for both sexes. Larger females invested more in offspring production, and larger males attended the chorus in the pond more often. Our results did not provide evidence for a decline in body size, condition and reproductive effort with decreased multilocus heterozygosity both within and among populations. We showed that the lack of heterozygosity-fitness correlations within populations probably resulted from low inbreeding levels (inferior to ca. 20% full-sib mating rate), even in the small fragmented populations. The detrimental effects of fixation load were either low in adults or hidden by environmental variation among populations. These findings will be useful to design specific management actions to improve population persistence.

Target Molecular Size and Sodium Dodecyl Sulfate-Polyacrylamide Gel Electrophoresis Analysis of the ATP-and Pyrophosphate-Dependent Proton Pumps from Maize Root Tonoplast.

Tonoplast-enriched membranes were prepared from maize (Zea mays L. cv LG 11) primary roots, using sucrose nonlinear gradients. The functional molecular size of the tonoplast ATP-and PPi-dependent proton pumps were analyzed by radiation inactivation. Glucose-6-phosphate dehydrogenase (G6PDH) was added as an internal standard. Frozen samples (-196 degrees C) of the membranes were irradiated with (60)Co for different periods of time. After thawing the samples, the activities of G6PDH, ATPase, and PPase were tested. By applying target theory, the functional sizes of the ATPase and PPase in situ were found to be around 540 and 160 kilodaltons, respectively. The two activities were solubilized and separated by gel filtration chromatography. The different polypeptides copurifying with the two pumps were analyzed by sodium dodecyl sulfate-polyacrylamide gel electrophoresis. Two bands (around 59 and 65 kilodaltons) were associated with the ATPase activity, whereas a double band (around 40 kilodaltons) was recovered with the PPase activity.

Circadian and wake-dependent effects on the pupil light reflex in response to narrow-bandwidth light pulses.

PURPOSE: Nonvisual light-dependent functions in humans are conveyed mainly by intrinsically photosensitive retinal ganglion cells, which express melanopsin as photopigment. We aimed to identify the effects of circadian phase and sleepiness across 24 hours on various aspects of the pupil response to light stimulation. METHODS: We tested 10 healthy adults hourly in two 12-hour sessions covering a 24-hour period. Pupil responses to narrow bandwidth red (635 ± 18 nm) and blue (463 ± 24 nm) light (duration of 1 and 30 seconds) at equal photon fluxes were recorded, and correlated with salivary melatonin concentrations at the same circadian phases and to subjective sleepiness ratings. The magnitude of pupil constriction was determined from minimal pupil size. The post-stimulus pupil response was assessed from the pupil size at 6 seconds following light offset, the area within the redilation curve, and the exponential rate of redilation. RESULTS: Among the measured parameters, the pupil size 6 seconds after light offset correlated with melatonin concentrations (P < 0.05) and showed a significant modulation over 24 hours with maximal values after the nocturnal peak of melatonin secretion. In contrast, the post-stimulus pupil response following red light stimulation correlated with subjective sleepiness (P < 0.05) without significant changes over 24 hours. CONCLUSIONS: The post-stimulus pupil response to blue light as a marker of intrinsic melanopsin activity demonstrated a circadian modulation. In contrast, the effect of sleepiness was more apparent in the cone contribution to the pupil response. Thus, pupillary responsiveness to light is under influence of the endogenous circadian clock and subjective sleepiness.