Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established from second-order effects of selection). Here, we try to characterize long-term phenotypic evolution in finite populations from this two-allele representation of the evolutionary process. We construct a stochastic model describing evolutionary dynamics at non-rare mutant allele frequency. We then derive stability conditions based on stationary average mutant frequencies in the presence of vanishing mutation rates. We find that the second-order stability condition obtained from second-order effects of selection is identical to convergence stability. Thus, in two-allele systems in finite populations, convergence stability is enough to characterize long-term evolution under the trait substitution sequence assumption. We perform individual-based simulations to confirm our analytic results.

Contribution of estrogen and GluN2B subunit to the HtraKO mouse phenotype

Htr1a is one of the most widespread serotonin receptor across the brain, strongly expressed in CAI region of hippocampus. Our laboratory studies the phenotypic alteration in 5HTla- deficient mice (Htr1aK0), characterized an abnormal anxious-like behavior. Our aim is to evaluate the regulation of this cognitive process by understanding the circuitry involved. This phenotype sets up early during development and has durable effect in adulthood. Our laboratory showed that adult Htr1aK0 male mice displaying exuberant dendritic growth of oblique dendrites in a specific layer of a CAI pyramidal neurons, the stratum radiatum. Application of drugs in organotypic cultures and by in vivo injections revealed that GluN2B, a subunit of NMDA receptor highly expressed during development, is responsible for this dendritic exuberance. Immunohistochemistry highlighted in particular a synaptic enrichment of GluN2B in stratum radiatum of Htr1aK0 CAI pyramidal neurons at puberty. Finally, original analysis of Htr1aK0 mouse behavior showed a different response to anxiety between male and female. Htr1a activation down-regulates the CaMKII activity in the CAI pyramidal neurons. CaMKII directly favors the membrane conductance and stability of GluN2B at the synapse. In the context of the Htr1aK0 mouse, GluN2B is the final common pathway of our phenotype. This subunit is well known to regulate the threshold of LTD/LTP and the dendritogenesis during development. In my thesis, I establish a link between the gender differences in the morphology and the physiology in the Htr1aK0 mice during development to understand how these characteristics shape the circuit with prominent cognitive impacts in adulthood. My study highlighted that during development, Htr1aK0 male mice show a constant increase of the dendritic growth of oblique dendrites from early ages until adulthood associated with an increased physiological impact of altered GluN2A/GluN2B ratio. Whereas during puberty, synaptic contribution of GluN2B to NMDA response is higher in Htr1aK0 compared to WT male mice, this ratio comes back to normal values towards adulthood. However, this recovery of the ratio of GluN2A/GluN2B located at the synaptic level is concomitant with the lateral diffusion of excess GluN2B subunits, leading to extrasynaptic enrichment. The main impact was a lowering of the LTP threshold characterized by strong increased potentiation of synaptic strength after 5 Hz low frequency stimulation. Moreover, the extrasynaptic GluN2B overexpression leads to a shift of the maturation phase switch explaining the exuberant morphology. However, Htr1aK0 females characterized during the 3 first weeks of development by an increase of the dendritic growth of oblique dendrites showed starting at puberty that the dendrite arborization returns progressively to WT values. The physiological impact of GluN2B was investigated and directly linked to this morphology, since Htr1aK0 female mice does not show alteration of the synaptic strength during development. These observations show a compensation occurring in Htr1aK0 female, responsible for a rescue of the phenotype morphologically, physiologically and to be tested behaviorally. We highlighted then the biological processes underlying this compensation. During development, sexual hormones such as testosterone and estrogen are responsible to induce sexual differentiation of specific brain regions. I demonstrated that estrogen, but not testosterone, was able to reduce both in vitro and in vivo the dendritic arborization early during development, through activation of GPER-1, a G-coupled protein estrogen receptor, which phenocopy the activation of Htr1a by reducing GluN2B conductance and stability. I then identified a pathway, parallel to Htr1a, able to regulate GluN2B and responsible for the morphological and physiological phenotype in Htr1aK0 female mice. The specific rise of estrogen occurring at puberty in female is responsible for the compensation observed and induces a late rescue of the Htr1aK0 phenotype by activation GPER-1. -- Htr1a est un des récepteurs à la sérotonine les plus répandus dans le cerveau, fortement exprimé dans la région CAI de l'hippocampe. Notre laboratoire étudie les altérations phénotypiques de souris déficientes pour ce récepteur (Htr1aK0), caractérisées par un comportement avec des traits anxieux. Notre objectif est d'évaluer la régulation de ces processus cognitifs en comprenant les connexions nerveuses impliquées. Ce phénotype se met en place tôt au cours du développement et présente un effet durable à l'âge adulte. Notre laboratoire a montré que les souris Htr1aK0 mâles adultes se caractérisent par une croissance exubérante des dendrites obliques dans une couche spécifique des neurones pyramidaux du CAI, le stratum radiatum. L'application de drogues sur cultures organotypiques et par injections in vivo ont révélé que GluN2B, une sous-unité du récepteur NMDA fortement exprimée au cours du développement, est responsable de cette exubérance dendritique. Des expériences d'immunohistochimie ont notamment mis en évidence un enrichissement synaptique de GluN2B durant la puberté dans le stratum radiatum des neurones de la région CAI des souris Htr1aK0. Finalement, l'analyse originale du comportement des souris Htr1aK0 a montré une différence de réponse à l'anxiété entre mâles et femelles. L'activation de Htr1a diminue l'activité de la CaMKII dans les neurones pyramidaux du CAI. La CaMKII favorise directement la conductance et la stabilité de la sous-unité GluN2B à la synapse. Dans le contexte de la souris Htr1aK0, GluN2B est le « médiateur » de notre phénotype. Cette sous-unité est particulièrement connue pour réguler le seuil de LTD-LTP ainsi que la dendritogénèse durant le développement. Dans ma thèse, j'ai établi le lien entre les différences dépendant du genre dans la morphologie et physiologie des souris Htr1aK0 au cours du développement pour comprendre comment ces caractéristiques modulent le circuit accompagnés d'impacts cognitifs visibles à l'âge adulte. Mon étude a mis en évidence que durant le développement, les souris mâles Htr1aK0 montrent une constante augmentation de la croissance des dendrites obliques entre les premières semaines et l'âge adulte associée à une augmentation de l'impact physiologique du ratio GluN2A/GluN2B altéré. Alors que durant la puberté, la contribution synaptique de GluN2B à la réponse NMDA est plus haute chez la souris mâle Htr1aK0 que le WT, ce ratio revient à des valeurs normales à l'âge adulte. Cependant, cette récupération de l'expression du récepteur au niveau synaptique est concomitante avec la diffusion des sous-unités GluN2B excédantes, amenant alors à un enrichissement extrasynaptique. Le principal impact est une diminution du seuil de la LTP caractérisée par une forte potentiation de la plasticité après une stimulation basse fréquence à 5 Hz. De plus, la surexpression des GluN2B extrasynaptiques conduit à un décalage de la bascule à la phase de maturation, expliquant la morphologie dendritique exubérante. Cependant, les femelles Htr1aK0 initialement caractérisées pendant les 3 premières semaines du développement par une augmentation de la croissance des dendrites obliques montrent à partir de la puberté que cette arborisation dendritique retourne à des valeurs WT. L'impact physiologique de GLuN2B a été investigué et mis en lien avec cette morphologie, étant donné que les femelles Htr1aK0 ne montrent pas d'altération de la plasticité durant le développement. Ces observations montrent une compensation se produisant chez la femelle Htr1aK0, responsable d'une récupération du phénotype morphologique, physiologique et peut-être comportemental. Nous avons souligné les processus biologiques sous-jacent à cette compensation. Au cours du développement, les hormones sexuelles telles que la testostérone et l'estrogène sont responsables de la différentiation sexuelle de régions du cerveau spécifiques. J'ai démontré que l'estrogène, mais pas la testostérone, était capable de réduire in vitro et in vivo l'arborisation dendritique tôt dans le développement au travers de l'activation du récepteur GPER-1, un récepteur aux estrogènes couplés à un protéine G, qui phénocopie l'activation de Htr1a en réduisant la conductance et la stabilité de GluN2B à la membrane. J'ai identifié une voie de signalisation parallèle à celle de Htr1a, capable de réguler GluN2B et responsable du phénotype morphologique et physiologique de la souris femelle Htr1aK0. La montée spécifique d'estrogène se déroulant à la puberté chez la femelle est responsable de cette compensation et implique une récupération tardive du phénotype Htr1aK0 par l'activation de GPER-1.

Proteomic and Metabolomic Analyses of Mitochondrial Complex I-deficient Mouse Model Generated by Spontaneous B2 Short Interspersed Nuclear Element (SINE) Insertion into NADH Dehydrogenase (Ubiquinone) Fe-S Protein 4 (Ndufs4) Gene.

Eukaryotic cells generate energy in the form of ATP, through a network of mitochondrial complexes and electron carriers known as the oxidative phosphorylation system. In mammals, mitochondrial complex I (CI) is the largest component of this system, comprising 45 different subunits encoded by mitochondrial and nuclear DNA. Humans diagnosed with mutations in the gene NDUFS4, encoding a nuclear DNA-encoded subunit of CI (NADH dehydrogenase ubiquinone Fe-S protein 4), typically suffer from Leigh syndrome, a neurodegenerative disease with onset in infancy or early childhood. Mitochondria from NDUFS4 patients usually lack detectable NDUFS4 protein and show a CI stability/assembly defect. Here, we describe a recessive mouse phenotype caused by the insertion of a transposable element into Ndufs4, identified by a novel combined linkage and expression analysis. Designated Ndufs4(fky), the mutation leads to aberrant transcript splicing and absence of NDUFS4 protein in all tissues tested of homozygous mice. Physical and behavioral symptoms displayed by Ndufs4(fky/fky) mice include temporary fur loss, growth retardation, unsteady gait, and abnormal body posture when suspended by the tail. Analysis of CI in Ndufs4(fky/fky) mice using blue native PAGE revealed the presence of a faster migrating crippled complex. This crippled CI was shown to lack subunits of the "N assembly module", which contains the NADH binding site, but contained two assembly factors not present in intact CI. Metabolomic analysis of the blood by tandem mass spectrometry showed increased hydroxyacylcarnitine species, implying that the CI defect leads to an imbalanced NADH/NAD(+) ratio that inhibits mitochondrial fatty acid β-oxidation.

Regulation of Nedd4-2 self-ubiquitination and stability by a PY motif located within its HECT-domain.

Ubiquitin ligases play a pivotal role in substrate recognition and ubiquitin transfer, yet little is known about the regulation of their catalytic activity. Nedd4 (neural-precursor-cell-expressed, developmentally down-regulated 4)-2 is an E3 ubiquitin ligase composed of a C2 domain, four WW domains (protein-protein interaction domains containing two conserved tryptophan residues) that bind PY motifs (L/PPXY) and a ubiquitin ligase HECT (homologous with E6-associated protein C-terminus) domain. In the present paper we show that the WW domains of Nedd4-2 bind (weakly) to a PY motif (LPXY) located within its own HECT domain and inhibit auto-ubiquitination. Pulse-chase experiments demonstrated that mutation of the HECT PY-motif decreases the stability of Nedd4-2, suggesting that it is involved in stabilization of this E3 ligase. Interestingly, the HECT PY-motif mutation does not affect ubiquitination or down-regulation of a known Nedd4-2 substrate, ENaC (epithelial sodium channel). ENaC ubiquitination, in turn, appears to promote Nedd4-2 self-ubiquitination. These results support a model in which the inter- or intra-molecular WW-domain-HECT PY-motif interaction stabilizes Nedd4-2 by preventing self-ubiquitination. Substrate binding disrupts this interaction, allowing self-ubiquitination of Nedd4-2 and subsequent degradation, resulting in down-regulation of Nedd4-2 once it has ubiquitinated its target. These findings also point to a novel mechanism employed by a ubiquitin ligase to regulate itself differentially compared with substrate ubiquitination and stability.

In vivo characterization of the circadian clock output gene usp2

Life on earth is subject to the repeated change between day and night periods. All organisms that undergo these alterations have to anticipate consequently the adaptation of their physiology and possess an endogenous periodicity of about 24 hours called circadian rhythm from the Latin circa (about) and diem (day). At the molecular level, virtually all cells of an organism possess a molecular clock which drives rhythmic gene expression and output functions. Besides altered rhythmicity in constant conditions, impaired clock function causes pathophysiological conditions such as diabetes or hypertension. These data unveil a part of the mechanisms underlying the well-described epidemiology of shift work and highlight the function of clock-driven regulatory mechanisms. The post-translational modification of proteins by the ubiquitin polypeptide is a central mechanism to regulate their stability and activity and is capital for clock function. Similarly to the majority of biological processes, it is reversible. Deubiquitylation is carried out by a wide variety of about ninety deubiquitylating enzymes and their function remains poorly understood, especially in vivo. This class of proteolytic enzymes is parted into five families including the Ubiquitin-Specific Proteases (USP), which is the most important with about sixty members. Among them, the Ubiquitin-Specific Protease 2 (Usp2) gene encodes two protein isoforms, USP2-45 and USP2-69. The first is ubiquitously expressed under the control of the circadian clock and displays all features of core clock genes or its closest outputs effectors. Additionally, Usp2-45 was also found to be induced by the mineralocorticoid hormone aldosterone and thought to participate in Na+ reabsorption and blood pressure regulation by Epithelial Na+ Channel ENaC in the kidneys. During my thesis, I aimed to characterize the role of Usp2 in vivo with respect to these two areas, by taking advantage of a total constitutive knockout mouse model. In the first project I aimed to validate the role of USP2-45 in Na+ homeostasis and blood pressure regulation by the kidneys. I found no significant alterations of diurnal Na+ homeostasis and blood pressure in these mice, indicating that Usp2 does not play a substantial role in this process. In urine analyses, we found that our Usp2-KO mice are actually hypercalciuric. In a second project, I aimed to understand the causes of this phenotype. I found that the observed hypercalciuria results essentially from intestinal hyperabsorption. These data reveal a new role for Usp2 as an output effector of the circadian clock in dietary Ca2+ metabolism in the intestine.

Accurate performance of a rat model of schizophrenia in the water maze depends on visual cue availability and stability: a distortion in cognitive mapping abilities?

Rats were treated postnatally (PND 5-16) with BSO (l-buthionine-(S,R)-sulfoximine) in an animal model of schizophrenia based on transient glutathione deficit. The BSO treated rats were impaired in patrolling a maze or a homing table when adult, yet demonstrated preserved escape learning, place discrimination and reversal in a water maze task [37]. In the present work, BSO rats' performance in the water maze was assessed in conditions controlling for the available visual cues. First, in a completely curtained environment with two salient controlled cues, BSO rats showed little accuracy compared to control rats. Secondly, pre-trained BSO rats were impaired in reaching the familiar spatial position when curtains partially occluded different portions of the room environment in successive sessions. The apparently preserved place learning in a classical water maze task thus appears to require the stability and the richness of visual landmarks from the surrounding environment. In other words, the accuracy of BSO rats in place and reversal learning is impaired in a minimal cue condition or when the visual panorama changes between trials. However, if the panorama remains rich and stable between trials, BSO rats are equally efficient in reaching a familiar position or in learning a new one. This suggests that the BSO accurate performance in the water maze does not satisfy all the criteria for a cognitive map based navigation on the integration of polymodal cues. It supports the general hypothesis of a binding deficit in BSO rats.

A robust genomic signature for the detection of colorectal cancer patients with microsatellite instability phenotype and high mutation frequency.

Microsatellite instability (MSI) occurs in 10-20% of colorectal tumours and is associated with good prognosis. Here we describe the development and validation of a genomic signature that identifies colorectal cancer patients with MSI caused by DNA mismatch repair deficiency with high accuracy. Microsatellite status for 276 stage II and III colorectal tumours has been determined. Full-genome expression data was used to identify genes that correlate with MSI status. A subset of these samples (n = 73) had sequencing data for 615 genes available. An MSI gene signature of 64 genes was developed and validated in two independent validation sets: the first consisting of frozen samples from 132 stage II patients; and the second consisting of FFPE samples from the PETACC-3 trial (n = 625). The 64-gene MSI signature identified MSI patients in the first validation set with a sensitivity of 90.3% and an overall accuracy of 84.8%, with an AUC of 0.942 (95% CI, 0.888-0.975). In the second validation, the signature also showed excellent performance, with a sensitivity 94.3% and an overall accuracy of 90.6%, with an AUC of 0.965 (95% CI, 0.943-0.988). Besides correct identification of MSI patients, the gene signature identified a group of MSI-like patients that were MSS by standard assessment but MSI by signature assessment. The MSI-signature could be linked to a deficient MMR phenotype, as both MSI and MSI-like patients showed a high mutation frequency (8.2% and 6.4% of 615 genes assayed, respectively) as compared to patients classified as MSS (1.6% mutation frequency). The MSI signature showed prognostic power in stage II patients (n = 215) with a hazard ratio of 0.252 (p = 0.0145). Patients with an MSI-like phenotype had also an improved survival when compared to MSS patients. The MSI signature was translated to a diagnostic microarray and technically and clinically validated in FFPE and frozen samples.

A corneal dystrophy associated with transforming growth factor beta-induced Gly623Asp mutation an amyloidogenic phenotype.

PURPOSE: To present the light and electron microscopic findings of a unique corneal dystrophy never before described in a German family carrying the Gly623Asp Mutation of the TGFBI gene with late clinical onset. DESIGN: Experimental study. PARTICIPANTS: Four affected and 6 nonaffected family members. METHODS: Slit-lamp examination, photographic documentation, and isolation of genomic DNA from peripheral blood leucocytes obtained from each family member examined. Exons 3, 4, 5, and 11 to 14 of the TGFBI gene were amplified and sequenced in these family members. Five corneal buttons of 3 affected siblings were excised at the time of penetrating keratoplasty. Light and electron microscopic examination were performed including immunohistochemistry with antibodies against keratoepithelin (KE) 2 and 15. MAIN OUTCOME MEASURES: Clinical and histologic characteristics of corneal opacification in affected patients and presence of coding region changes in the TGFBI gene. RESULTS: The specimens showed destructive changes in Bowman's layer and the adjacent stroma. Patchy Congo red-positive amyloid deposits were found within the epithelium in 1 cornea, in Bowman's layer and in the anterior stroma of all specimens also showing KE2, but not KE15, immunostaining. Electron microscopy revealed deposits mainly located in the anterior stroma and Bowman's layer and in small amounts in the basal area of some epithelial cells. The destroyed areas were strongly Alcian blue-positive, the Masson Trichrome stain proved mainly negative for the deposits. All affected but none of the unaffected family members had a heterozygous missense mutation in exon 14 of the TGFBI gene (G-->A transition at nucleotide 1915) replacing glycin by aspartic acid amino acid (Gly623Asp) at position 623 of the KE protein. CONCLUSIONS: In contrast with the patient carrying the Gly623Asp mutation of the TGFBI gene described by Afshari et al, our cases presented with Salzmann's nodular degeneration-like clinical features and their specimens contained KE2-positive amyloid. The reason for this now "meeting the expectation histologic phenotype" is unclear. The histologic findings emphasize that this is a unique corneal dystrophy, which shares no clinical characteristics with Reis-Bücklers' dystrophy and should be treated as a distinct entity. FINANCIAL DISCLOSURE(S): The authors have no proprietary or commercial interest in any materials discussed in this article.

Three-dimensional slope stability analysis of South Peak, Crowsnest Pass, Alberta, Canada

South Peak is a 7-Mm3 potentially unstable rock mass located adjacent to the 1903 Frank Slide on Turtle Mountain, Alberta. This paper presents three-dimensional numerical rock slope stability models and compares them with a previous conceptual slope instability model based on discontinuity surfaces identified using an airborne LiDAR digital elevation model (DEM). Rock mass conditions at South Peak are described using the Geological Strength Index and point load tests, whilst the mean discontinuity set orientations and characteristics are based on approximately 500 field measurements. A kinematic analysis was first conducted to evaluate probable simple discontinuity-controlled failure modes. The potential for wedge failure was further assessed by considering the orientation of wedge intersections over the airborne LiDAR DEM and through a limit equilibrium combination analysis. Block theory was used to evaluate the finiteness and removability of blocks in the rock mass. Finally, the complex interaction between discontinuity sets and the topography within South Peak was investigated through three-dimensional distinct element models using the code 3DEC. The influence of individual discontinuity sets, scale effects, friction angle and the persistence along the discontinuity surfaces on the slope stability conditions were all investigated using this code.

Gains from switching and evolutionary stability in multi-player matrix games.

In this paper we unify, simplify, and extend previous work on the evolutionary dynamics of symmetric N-player matrix games with two pure strategies. In such games, gains from switching strategies depend, in general, on how many other individuals in the group play a given strategy. As a consequence, the gain function determining the gradient of selection can be a polynomial of degree N-1. In order to deal with the intricacy of the resulting evolutionary dynamics, we make use of the theory of polynomials in Bernstein form. This theory implies a tight link between the sign pattern of the gains from switching on the one hand and the number and stability of the rest points of the replicator dynamics on the other hand. While this relationship is a general one, it is most informative if gains from switching have at most two sign changes, as is the case for most multi-player matrix games considered in the literature. We demonstrate that previous results for public goods games are easily recovered and extended using this observation. Further examples illustrate how focusing on the sign pattern of the gains from switching obviates the need for a more involved analysis.

Type I hyperprolinemia: genotype/phenotype correlations.

Type I hyperprolinemia (HPI) is an autosomal recessive disorder associated with cognitive and psychiatric troubles, caused by alterations of the Proline Dehydrogenase gene (PRODH) at 22q11. HPI results from PRODH deletion and/or missense mutations reducing proline oxidase (POX) activity. The goals of this study were first to measure in controls the frequency of PRODH variations described in HPI patients, second to assess the functional effect of PRODH mutations on POX activity, and finally to establish genotype/enzymatic activity correlations in a new series of HPI patients. Eight of 14 variants occurred at polymorphic frequency in 114 controls. POX activity was determined for six novel mutations and two haplotypes. The c.1331G>A, p.G444D allele has a drastic effect, whereas the c.23C>T, p.P8L allele and the c.[56C>A; 172G>A], p.[Q19P; A58T] haplotype result in a moderate decrease in activity. Among the 19 HPI patients, 10 had a predicted residual activity <50%. Eight out of nine subjects with a predicted residual activity > or = 50% bore at least one c.824C>A, p.T275N allele, which has no detrimental effect on activity but whose frequency in controls is only 3%. Our results suggest that PRODH mutations lead to a decreased POX activity or affect other biological parameters causing hyperprolinemia.