Worst-case bounds for the logarithmic loss of predictors

We investigate on-line prediction of individual sequences. Given a class of predictors, the goal is to predict as well as the best predictor in the class, where the loss is measured by the self information (logarithmic) loss function. The excess loss (regret) is closely related to the redundancy of the associated lossless universal code. Using Shtarkov's theorem and tools from empirical process theory, we prove a general upper bound on the best possible (minimax) regret. The bound depends on certain metric properties of the class of predictors. We apply the bound to both parametric and nonparametric classes ofpredictors. Finally, we point out a suboptimal behavior of the popular Bayesian weighted average algorithm.

Partial melting of basic dykes in the contact aureoles of two shallow-level, gabbro-pyroxenite intrusions, Fuerteventura

THESIS ABSTRACT Low-pressure anatexis of basic dykes gave rise to unusual, zebra-like migmatites, in the contact metamorphic aureoles of two layered gabbro-pyroxenite intrusions, PXl and PX2, in the root zone of an ocean island, Fuerteventura Basal Complex (Canary Islands). This thesis focuses on the understanding of processes attributing to the partial melting and formation of these migmatites, characterised by a dense network of closely spaced, millimetre-wide leucocratic segregations with perfectly preserved igneous textures. The presence of fluids are required to decrease the solidus of basic igneous lithologies, to allow partial melting in such aloes-pressure (1-2 kb) environment. An oxygen isotope study was thus carried out on dykes inside and beyond the PX2 aureole, in order to decipher the nature and origin of such fluids. Low or negative δ18O values were obtained for whole rocks and mineral-separates, decreasing towards the contact, with the intrusion itself retaining fairly high values. This trend has been attributed to the advection of meteoric water during magma emplacement, with increasing fluid/rock ratios (higher dyke intensities towards the intrusion acting as fluid-pathways) and higher temperatures promoting increasing exchange during recrystallisation. A comparison of whole rock and mineral major- and trace- element data allowed the redistribution of elements .between different mineral phases and generations, during contact metamorphism and partial melting to be assessed. Certain trace-elements, e.g. Zr, Hf, Y, and REEs, were internally redistributed during contact metamorphic recrystallisation, causing- the enrichment of neocrystallised diopsides compared to relict phenocrysts. This has been assigned to the liberation of trace elements on the breakdown of primary minerals, kaersutite and sphene, on entering the thermal aureole. Major and trace element compositions of minerals in migmatite melanosomes and leucosomes are almost identical, pointing to a syn- or post- solidus reequilibration on cooling of the migmatite terrain. The mineralogical, textural and geochemical evolution of dykes in a contact metamorphic aureole, is recorded around an apophysis of the PX1 intrusion, where there is evidence of incipient partial melting. Hydrothermal mineral pseudomorphs in the outer parts of the aureole are progressively replaced by dry mineral assemblages, with increasingly recrystallised diopside and evidence of partial melting -the extent of which varies from one lithology to another. The appearance of more mafic lithologies towards the intrusion, with lower whole rock SiO2 and mobile element abundances, e.g. Rb, Cs, K, has been explained by the migration and accumulation of feldspathic material into leucosomes outside the samples. A micro-structural study of leucosomes and leucocratic pods, with the aid of high-resolution X-ray computed micro-tomography (HRXµCT), allowing the visualization and quantification of shapes and orientations, was carried out in order to better understand the processes of melt segregation in the PX1 aureole. Leucocratic pods, representing former amygdales, are considered as natural strain ellipsoids. Their short axes are oriented perpendicular to leucosome planes, which sub-parallel the intrusive contact. Leucosomes thus effectively represent foliation planes. This implies that the direction of maximum shortening, during migmatisation, was perpendicular to the orientation of leucosomes, contradicting earlier models that suggest leucosomes represent tension veins. RESUME DE LA THESE Un phénomène rare de fusion partielle de filons basiques à basse pression a été étudié dans les auréoles de contact de deux intrusions litées de gabbro-pyroxénite, PX1 et PX2, localisées dans le soubassement de l'île volcanique de Fuerteventura aux Canaries. Cette anatexie a engendré des migmatites finement zébrées d'aspect très inhabituel, dont les processus de formation ont été étudiés dans le présent travail. Ces roches sont caractérisées par un réseau dense de veinules leucocrates d'épaisseur millimétrique, dont les textures ignées sont parfaitement préservées. La fusion partielle de roches basiques à basse pression (1-2 kbar) requiert la présence d'eau afin d'abaisser le solidus du système à des températures géologiquement réalistes. Une étude comparative des isotopes de l'oxygène a ainsi été menée sur des filons respectivement affectés et non affectés par le métamorphisme de contact, afin de confirmer la présence de ces fluides, de déterminer l'importance de leur interaction avec les roches et leur origine. Des valeurs de δ180 basses ou négatives ont été mesurées sur roche totale et minéraux séparés, décroissantes en direction du contact, alors que l'intrusion elle-même a conservé des valeurs élevées. Ce gradient a été attribué à l'advection d'eau météorique durant la mise en place du magma, les températures les plus élevées favorisant d'autant plus la circulation des fluides et les échanges isotopiques durant la recristallisation des roches. Cette recristallisation engendré une redistribution chimique complète des éléments entre les différentes générations de minéraux résultant du métamorphisme de contact et de l'anatexie, mise en évidence par microanalyse. Certains éléments traces comme Zr, Hf, Y et les REE ont été concentrés dans le diopside néoformé consécutivement à la déstabilisation de minéraux primaires riches en ces éléments comme la kaersutite ou le sphène. Les compositions en éléments majeurs et traces des minéraux des mélanosomes et leucosomes des migmatites sont pratiquement identiques, indiquant une rééquilibration syn- à postsolidus lors du refroidissement de l'auréole de contact. La transformation progressive des filons basiques au niveau de leur minéralogie, textures et composition chimique a pu être observée en détail à l'approche du contact d'une apophyse de l'intrusion PX1. La paragenèse magmatique initiale n'est jamais préservée, les faciès les plus distants du contact étant constitués d'un assemblage pseudomorphique hydrothermal. Ce dernier est progressivement remplacé par des assemblages anhydres incluant du diopside néoformé, puis apparaissent les premiers signes de fusion partielle, dont l'importance varie fortement d'une lithologie à l'autre. L'apparition de faciès plus basiques en direction du contact, avec des teneurs réduites en SiO2 et en éléments incompatibles tels Rb, Cs, K, a été attribuée à l'échappement de leucosomes feldspathiques hors du système. Une étude microstructurale de la distribution spatiale du matériel leucocrate au sein des migmatites par microtomographie X de haute résolution (HRXµCT) a été menée pour mieux comprendre les processus de ségrégation des liquides dans l'auréole de PX1. De petites entités ovoïdes, représentant d'anciennes structures amygdalaires au sein des filons, ont été considérées comme des ellipsoïdes marqueurs de la déformation finie. Leur petit axe est orienté perpendiculairement aux plans définis par les leucosomes, eux-mêmes subparallèles au contact intrusif. Les leucosomes matérialisent donc des plans de clivage. Ainsi, la direction de raccourcissement maximum durant la fusion partielle était perpendiculaire à l'orientation des leucosomes, contrairement à ce qui a été dit dans de précédentes publications, qui suggéraient que les leucosomes représentaient des veines de tension. RESUME DE LA THESE (POUR LE GRAND PUBLIC) L'observation directe du soubassement d'une île volcanique est une occasion rare, accessible dans le «complexe de base » de l'île canarienne de Fuerteventura. Ce dernier a enregistré divers phénomènes magmatiques, métamorphiques et de fusion partielle induits par l'intrusion répétée de magmas alimentant des appareils volcaniques sus jacents, sous forme de petits plutons, essaims de filons et complexes annulaires de gabbros alcalins, pyroxénites, syénites et carbonatites. Dans ce contexte de flux de chaleur élevé, des filons basiques ont subi une fusion partielle au contact de deux intrusions de gabbro-pyroxénite, un phénomène extrêmement rare à une profondeur aussi réduite, estimée à quelque 3-6 km. Les produits de cette fusion partielle sont des liquides très riches en feldspath, concentrés en un réseau dense de veinules blanches (leucosomes) au sein du matériau résiduel sombre non fondu (mélanosome) pour former ce qu'on appelle des migmatites. Outre les aspects pétrologiques liés à la formation de ces migmatites, l'intérêt majeur du phénomène réside dans le fait qu'il puisse représenter la source des magmas évolués parfois observés sur les îles océaniques. A des pressions aussi faibles que dans le soubassement de Fuerteventura (1-2 Kbar), la présence de fluides abondants est nécessaire pour abaisser la température de début de fusion des roches (solidus) à des valeurs géologiquement réalistes. Des expériences ont montré que même en présence de plusieurs %-poids d'eau, une température de 1000°C était encore nécessaire pour obtenir une proportion de liquide équivalente à celle observée sur le terrain, soit 25%. Or les magmas alcalins des îles océaniques, bien qu'hydratés, n'en contiennent de loin pas autant, ce qui implique une source d'eau externe. Une étude isotopique de l'oxygène a été entreprise afin de tester cette hypothèse. Les valeurs obtenues en 5180 sont basses ou négatives et indiquent l'influence d'eau d'origine météorique. Cette eau de pluie se serait infiltrée le long des filons depuis la surface du volcan et les aurait complètement hydrothermalisés en profondeur (situation encore visible à l'extérieur de l'auréole de contact), leur permettant ainsi de stocker l'eau nécessaire à leur fusion partielle ultérieure. L'interaction entre eau de pluie et filons a été d'autant plus importante que ces derniers étaient proches du contact avec l'intrusion, ce qui suggère que la circulation de ces eaux et leur interaction avec les roches a été favorisée par la chaleur fournie par l'intrusion elle-même. Un autre aspect de ce travail s'est focalisé sur la redistribution des éléments traces au sein des minéraux des filons basiques durant le métamorphisme de contact et la fusion partielle. Ainsi, le pyroxène de seconde génération est-il sensiblement enrichi en traces telles Zr, Hf, Y et les terres rares, par rapport au pyroxène magmatique originel, en relation avec la déstabilisation de minéraux primaires riches en ces éléments tels le sphène et la kaersutite. Cependant, les compositions en éléments majeurs et traces des minéraux recristallisés des migmatites sont pratiquement les mêmes dans les leucosomes et les mélanosomes, suggérant une rééquilibration chimique complète durant le refroidissement de ces lithologies. Si certaines migmatites se sont comportées en système chimiquement fermé (hormis l'eau météorique), d'autres filons ont manifestement perdu une partie de leurs leucosomes, ainsi qu'en témoigne leur composition progressivement appauvrie en silice et autres éléments incompatibles mobiles, tels K et Rb à l'approche du contact de l'intrusion. Parallèlement à cette évolution chimique, les paragenèses hydrothermales distantes du contact sont progressivement remplacées par des paragenèses anhydres, puis par l'apparition des premiers leucosomes, tandis que les textures magmatiques initiales sont complètement effacées au profit d'une combinaison de textures magmatique dans les leucosomes et en mosaïque dans les mélanosomes. Enfin, la distribution spatiale des liquides de fusion partielle a été étudiée par microtomographie X de haute résolution, dans des filons contenant des entités ovoïdes leucocrates, sans doute d'anciennes amygdales à zéolites. Ces dernières ont été considérées comme des ellipsoïdes de la déformation finie. L'orientation de leur petit axe, perpendiculaire au plan défini par les veinules de leucosomes, indique que ces derniers représentent des plans de clivage perpendiculaires à la direction de raccourcissement maximum. Ainsi, la ségrégation des liquides de fusion partielle se serait faite dans les plans de compression et non dans des plans de dilatation, contrairement à ce que laisserait penser le sens commun.

Autosomal Recessive Posterior Microphthalmos/Nanophthalmos is Caused by Loss-of-function Mutations in LOC646960, a Novel Gene Encoding a Trypsin-like Serine Protease

Purpose: Posterior microphthalmos (MCOP)/nanophthalmos (NNO) is a developmental anomaly characterized by extreme hyperopia due to short axial length. The population of the Faroe Islands shows a high prevalence of an autosomal recessive form (arMCOP). The gene mutated in arMCOP is not yet known.Methods: Genetic mapping by linkage analysis using microsatellite and single nucleotide polymorphisms, mutation analysis by PCR and sequencing, molecular modellingResults: Having refined the position of the disease locus (MCOP6) in an interval of 250 kb in chromosome 2q37.1 in Faroese families, we detected 3 mutations in a novel gene, LOC646960: Patients of 10 different Faroese families were either homozygous (n=22) for c.926G>C (p.Trp309Ser) or compound heterozygous (n=6) for c.926G>C and c.526C>G (p.Arg176Gly), whereas a homozygous 1 bp duplication (c.1066dupC) was identified in patients with arNNO from a Tunisian family. In two unrelated patients with MCOP, no LOC646960 mutation was found. LOC646960 is expressed in the human adult retina and RPE. The expression of the mouse homologue in the eye can be first detected at E17 and is highest in adults. The predicted protein is a 603 amino acid long secreted trypsin-like serine peptidase. c.1066dupC should result in a functional null allele. Molecular modelling of the p.Trp309Ser mutant suggests that both affinity and reactivity of the enzyme towards in vivo substrates are substantially reduced.Conclusions: Postnatal growth of the eye is important for proper development of the refractive components (emmetropization), and is mainly due to elongation of the posterior segment from 10-11 mm at birth to 15-16 mm at the age of 13 years. Optical defocus leads to changes in axial length by moving the retina towards the image plane. arMCOP may theoretically be explained, in line with the expression pattern of LOC646960, by a postnatal growth retardation of the posterior segment.

Baerveldt aqueous shunt implantation into the ciliary sulcus

Purpose: Aqueous shunt implantation into the anterior chamber is associated with corneal decompensation in up to a third of eyes. Intracameral tube position may affect corneal endothelial cell loss. The authors set out to examine the efficacy and safety of Baerveldt shunt implantation into the ciliary sulcus combined with surgical peripheral iridectomy (SPI). Methods: One hundred eyes prospectively underwent Baerveldt shunt implantation into the cilliary sulcus combined with SPI, leaving a short intracameral tube length (1-2mm). Pre and post operative measures recorded included patient demographics, visual acuity, IOP, number of glaucoma medications (GMs) and all complications. Pre-existing corneal decompensation was recorded. Success was defined as IOP≤21mmHg and 20% reduction in IOP from baseline with or without GMs. Results: Mean age was 65.4 years (±20.4years). Mean follow-up was 10.8 months. Preoperatively IOP was 25.7mmHg (± 9.9mmHg), GMs were 2.9 (±1.2) and VA was 0.4 (±0.3). At one year postoperatively there was a significant drop in IOP (mean= 13.3mmHg (± 5.0mmHg); p<0.001) and number of GMs (mean= 1.3 (±1.4); p<0.001); and no significant change in VA (mean= 0.4 (±0.3); p=0.93). The success rate at one year was 83%. Complications were minor and non sight threatening (10%), there were no cases of postoperative corneal decompensation, tube blockage or iris/corneal-tube contact. Conclusions: The results demonstrate that placement of Baerveldt shunts into the ciliary sulcus with SPI is a safe and efficacious method of IOP reduction in comparison with standard shunt positioning in the anterior chamber. The intracameral tube position combined with SPI avoided tube-iris contact and corneal decompensation. Sulcus placement of aqueous shunts should be considered in pseudophakic eyes.

Loss of the BMP Antagonist, SMOC-1, Causes Ophthalmo-Acromelic (Waardenburg Anophthalmia) Syndrome in Humans and Mice.

Ophthalmo-acromelic syndrome (OAS), also known as Waardenburg Anophthalmia syndrome, is defined by the combination of eye malformations, most commonly bilateral anophthalmia, with post-axial oligosyndactyly. Homozygosity mapping and subsequent targeted mutation analysis of a locus on 14q24.2 identified homozygous mutations in SMOC1 (SPARC-related modular calcium binding 1) in eight unrelated families. Four of these mutations are nonsense, two frame-shift, and two missense. The missense mutations are both in the second Thyroglobulin Type-1 (Tg1) domain of the protein. The orthologous gene in the mouse, Smoc1, shows site- and stage-specific expression during eye, limb, craniofacial, and somite development. We also report a targeted pre-conditional gene-trap mutation of Smoc1 (Smoc1(tm1a)) that reduces mRNA to ∼10% of wild-type levels. This gene-trap results in highly penetrant hindlimb post-axial oligosyndactyly in homozygous mutant animals (Smoc1(tm1a/tm1a)). Eye malformations, most commonly coloboma, and cleft palate occur in a significant proportion of Smoc1(tm1a/tm1a) embryos and pups. Thus partial loss of Smoc-1 results in a convincing phenocopy of the human disease. SMOC-1 is one of the two mammalian paralogs of Drosophila Pentagone, an inhibitor of decapentaplegic. The orthologous gene in Xenopus laevis, Smoc-1, also functions as a Bone Morphogenic Protein (BMP) antagonist in early embryogenesis. Loss of BMP antagonism during mammalian development provides a plausible explanation for both the limb and eye phenotype in humans and mice.

Thyroid hormone reduces the loss of axotomized sensory neurons in dorsal root ganglia after sciatic nerve transection in adult rat.

We have shown that a local administration of thyroid hormones (T3) at the level of transected rat sciatic nerve induced a significant increase in the number of regenerated axons. To address the question of whether local administration of T3 rescues the axotomized sensory neurons from death, in the present study we estimated the total number of surviving neurons per dorsal root ganglion (DRG) in three experimental group animals. Forty-five days following rat sciatic nerve transection, the lumbar (L4 and L5) DRG were removed from PBS-control, T3-treated as well as from unoperated rats, and serial sections (1 microm) were cut. The physical dissector method was used to estimate the total number of sensory neurons in the DRGs. Our results revealed that in PBS-control rats transection of sciatic nerve leads to a significant (P < 0.001) decrease in the mean number of sensory neurons (8743.8 +/- 748.6) compared with the number of neurons in nontransected ganglion (mean 13,293.7 +/- 1368.4). However, administration of T3 immediately after sciatic nerve transection rescues a great number of axotomized neurons so that their mean neuron number (12,045.8 +/- 929.8) is not significantly different from the mean number of neurons in the nontransected ganglion. In addition, the volume of ganglia showed a similar tendency. These results suggest that T3 rescues a high number of axotomized sensory neurons from death and allows these cells to grow new axons. We believe that the relative preservation of neurons is important in considering future therapeutic approaches of human peripheral nerve lesion and sensory neuropathy.

Effect of weight loss on resting energy expenditure in obese prepubertal children.

To assess the effect of weight loss on resting metabolic rate (RMR), the energy expenditure of eight obese prepubertal children (age 9 +/- 1 years; weight 48.7 +/- 9.1 kg; BMI 25.3 +/- 3.9) and of 14 age-matched children of normal body weight (age 9 +/- 1 years; weight 28.8 +/- 5.6 kg; BMI 16.5 +/- 1.7) was measured by indirect calorimetry. The obese children were reinvestigated after a mean weight loss of 5.4 +/- 1.2 kg induced by a six-months mixed hypocaloric diet. Before slimming, the obese group showed a higher daily energy intake than the control group (10.40 +/- 3.45 MJ/day vs 7.97 +/- 2.02 MJ/day respectively; P less than 0.05) but a similar value was observed per unit fat-free mass (FFM) (0.315 +/- 0.032 MJ/kgFFM/day vs 0.329 +/- 0.041 MJ/kgFFM/day respectively). The average RMR of the obese children was greater than that of the control group (5217 +/- 531 kJ/day vs 4477 +/- 506 kJ/day) but similar after adjusting for FFM (4728 +/- 3102 kJ/day vs 4899 +/- 3102 kJ/day). Weight loss resulted in a reduction in RMR (5217 +/- 531 kJ/day vs 4874 +/- 820 kJ/day), each kg of weight loss being accompanied by a decrease of RMR of 64 kJ (15.3 kcal) per day. The changes in RMR induced by weight loss paralleled the changes in FFM. No difference was found in average RQ in obese children vs controls (0.85 +/- 0.03 vs 0.87 +/- 0.03 respectively) and in the obese children before and after weight loss (0.87 +/- 0.02).(ABSTRACT TRUNCATED AT 250 WORDS)

Glycogen content in the cerebral cortex increases with sleep loss in C57BL/6J mice.

We hypothesized that a function of sleep is to replenish brain glycogen stores that become depleted while awake. We have previously tested this hypothesis in three inbred strains of mice by measuring brain glycogen after a 6h sleep deprivation (SD). Unexpectedly, glycogen content in the cerebral cortex did not decrease with SD in two of the strains and was even found to increase in mice of the C57BL/6J (B6) strain. Manipulations that initially induce glycogenolysis can also induce subsequent glycogen synthesis thereby elevating glycogen content beyond baseline. It is thus possible that in B6 mice, cortical glycogen content decreased early during SD and became elevated later in SD. In the present study, we therefore measured changes in brain glycogen over the course of a 6 h SD and during recovery sleep in B6 mice. We found no evidence of a decrease at any time during the SD, instead, cortical glycogen content monotonically increased with time-spent-awake and, when sleep was allowed, started to revert to control levels. Such a time-course is opposite to the one predicted by our initial hypothesis. These results demonstrate that glycogen synthesis can be achieved during prolonged wakefulness to the extent that it outweighs glycogenolysis. Maintaining this energy store seems thus not to be functionally related to sleep in this strain.

Effect of tibial tray inclination on the femoro-tibial contact pattern of a mobile total knee arthroplasty

Introduction: The posterior inclination of the tibial component is an important factor that can affect the success of total knee arthroplasty. It can reduce the posterior impingement and thus increase the range of flexion, but it may also induce instability in flexion, anterior impingement between the polyethylene of postero-stabilizing knee prosthesis, and anterior conflict with the cortical bone and the stem. Although the problem is identified, there is still a debate on the ideal inclination angle and the surgical technique to avoid an excessive posterior inclination. The aim of this study was to predict the effect of a posterior inclination of the tibial component on the contact pattern on the tibial insert, using a numerical musculoskeletal model of the knee joint. Methods: A 3D finite element model of the knee joint was developed to simulate an active and loaded squat movement after total knee arthroplasty. Flexion was actively controlled by the quadriceps muscle and muscle activations were estimated from EMG data and were synchronized by a feedback algorithm. Two inclinations of the tibial tray were considered: a posterior inclination of 0° or 10°. During the entire range of flexion, the following quantities were calculated: the tibiofemoral and patello-femoral contact force, and the contact pattern on polyethylene insert. The antero-posterior displacement of the contact pattern was also measured. Abaqus 6.7 was used for all analyses. Results: The tibio-femoral and patello-femoral contact forces increased during flexion and reached respectively 4 and 7 BW (bodyweight) at 90° of flexion. They were slightly affected by the inclination of the tibial tray. Without posterior inclination, the contact pattern on the tibial insert remained centered. The contact pressure was lower than 5 MPa below 60° of flexion, but exceeded 20 MPa at 90° of flexion. The posterior inclination displaced the contact point posteriorly by 2 to 4 mm. Conclusion: The inclination of the tibial tray displaced the contactpattern towards the posterior border of the tibial insert. However, even for 10° of inclination, the contact center remained far from the posterior border (12 mm). There was no instability predicted for this movement.

Identification of psychological dysfunctions and eating disorders in obese women seeking weight loss: cross-sectional study.

Objective. The aim of this study is to analyse associations between eating behaviour and psychological dysfunctions in treatment-seeking obese patients and identify parameters for the development of diagnostic tools with regard to eating and psychological disorders. Design and Methods. Cross-sectional data were analysed from 138 obese women. Bulimic Investigatory Test of Edinburgh and Eating Disorder Inventory-2 assessed eating behaviours. Beck Depression Inventory II, Spielberger State-Trait Anxiety Inventory, form Y, Rathus Assertiveness Schedule, and Marks and Mathews Fear Questionnaire assessed psychological profile. Results. 61% of patients showed moderate or major depressive symptoms and 77% showed symptoms of anxiety. Half of the participants presented with a low degree of assertiveness. No correlation was found between psychological profile and age or anthropometric measurements. The prevalence and severity of depression, anxiety, and assertiveness increased with the degree of eating disorders. The feeling of ineffectiveness explained a large degree of score variance. It explained 30 to 50% of the variability of assertiveness, phobias, anxiety, and depression. Conclusion. Psychological dysfunctions had a high prevalence and their severity is correlated with degree of eating disorders. The feeling of ineffectiveness constitutes the major predictor of the psychological profile and could open new ways to develop screening tools.

Gene loss and evolutionary rates following whole-genome duplication in teleost fishes.

Teleost fishes provide the first unambiguous support for ancient whole-genome duplication in an animal lineage. Studies in yeast or plants have shown that the effects of such duplications can be mediated by a complex pattern of gene retention and changes in evolutionary pressure. To explore such patterns in fishes, we have determined by phylogenetic analysis the evolutionary origin of 675 Tetraodon duplicated genes assigned to chromosomes, using additional data from other species of actinopterygian fishes. The subset of genes, which was retained in double after the genome duplication, is enriched in development, signaling, behavior, and regulation functional categories. The evolutionary rate of duplicate fish genes appears to be determined by 3 forces: 1) fish proteins evolve faster than mammalian orthologs; 2) the genes kept in double after genome duplication represent the subset under strongest purifying selection; and 3) following duplication, there is an asymmetric acceleration of evolutionary rate in one of the paralogs. These results show that similar mechanisms are at work in fishes as in yeast or plants and provide a framework for future investigation of the consequences of duplication in fishes and other animals.