On Y-Linked Genes and Bisexual Branching Processes

2000 Mathematics Subject Classification: 60J80.

The role of olfactory cues in the sequential radiation of a gall-boring beetle

Species diversity itself may cause additional species diversity. According to recent findings, some species modify their environment in such a way that they facilitate the creation of new niches for other species to evolve to fill. Given the vast speciesdiversity of insects, the occurrence of such sequential radiation of species is likely common among herbivorous insects and the species that depend on them, many of them being insects as well. Herbivorous insects often have close associations with specific host plants and their preferences for mating and ovipositing on a specific host-plant species can reproductively isolate host-specific populations, facilitating speciation. Previous research by our laboratory has established that there are two distinct populations of thegall fly, Eurosta solidaginis (Tephritidae), which attack different species of goldenrods, Solidago altissima (Asteraceae) and S. gigantea. The gall fly’s host-associated differentiation is facilitating the divergence and potential speciation of twosubpopulations of the gall-boring beetle Mordellistena convicta (Mordellidae) by providing new resources (galls on stems of the galdenrods) for the gall-boring beetles. These beetles exist as two host-plant associated populations of inquilines that inhabit the galls induced by the gall fly. While our previous research has provided genetic and behavioral evidence for host-race formation, little is known about the role of their host plants in assortative mating and oviposition-site selection of the gall-boring beetles’ hostassociated populations. Volatile emissions from host plants can play a major role in assisting herbivores to locate their natal host plants and thus facilitate assortative mating and host-specific oviposition. The present study investigated the role of host-plant volatiles in host fidelity (mating on the host plant) and oviposition preference of M. convicta by measuring its behavioral responses to the host-plant volatile emissions using Y-tube olfactometers. In total, we tested behavioral responses of 615 beetles. Our resultsshow that M. convicta adults are attracted to their natal host galls (67% of S. altissima-emerging beetles and 70% of S. gigantea-emerging beetles) and avoid the alternate host galls (75% of S. altissima-emerging beetles and 66% of S. gigantea-emerging beetles),while showing no preference for, or avoidance of, ungalled plants from either species. This suggests that the gall beetles can orient to the volatile chemicals emitted by the galls and can potentially use them to identify suitable sites for mating and/or oviposition. Thus, host-associated mating and oviposition may play a role in the sequential speciation of the gall-boring beetle.

Molecular mechanisms for a switch-like mating decision in Saccharomyces cerevisiae

Les changements évolutifs nous instruisent sur les nombreuses innovations permettant à chaque organisme de maximiser ses aptitudes en choisissant le partenaire approprié, telles que les caractéristiques sexuelles secondaires, les patrons comportementaux, les attractifs chimiques et les mécanismes sensoriels y répondant. L'haploïde de la levure Saccharomyces cerevisiae distingue son partenaire en interprétant le gradient de la concentration d'une phéromone sécrétée par les partenaires potentiels grâce à un réseau de protéines signalétiques de type kinase activées par la mitose (MAPK). La décision de la liaison sexuelle chez la levure est un événement en "tout–ourien", à la manière d'un interrupteur. Les cellules haploïdes choisissent leur partenaire sexuel en fonction de la concentration de phéromones qu’il produit. Seul le partenaire à proximité sécrétant des concentrations de phéromones égales ou supérieures à une concentration critique est retenu. Les faibles signaux de phéromones sont attribués à des partenaires pouvant mener à des accouplements infructueux. Notre compréhension du mécanisme moléculaire contrôlant cet interrupteur de la décision d'accouplement reste encore mince. Dans le cadre de la présente thèse, je démontre que le mécanisme de décision de la liaison sexuelle provient de la compétition pour le contrôle de l'état de phosphorylation de quatre sites sur la protéine d'échafaudage Ste5, entre la MAPK, Fus3, et la phosphatase,Ptc1. Cette compétition résulte en la dissociation de type « intérupteur » entre Fus3 et Ste5, nécessaire à la prise de décision d'accouplement en "tout-ou-rien". Ainsi, la décision de la liaison sexuelle s'effectue à une étape précoce de la voie de réponse aux phéromones et se produit rapidement, peut-être dans le but de prévenir la perte d’un partenaire potentiel. Nous argumentons que l'architecture du circuit Fus3-Ste5-Ptc1 génère un mécanisme inédit d'ultrasensibilité, ressemblant à "l'ultrasensibilité d'ordre zéro", qui résiste aux variations de concentration de ces protéines. Cette robustesse assure que l'accouplement puisse se produire en dépit de la stochasticité cellulaire ou de variations génétiques entre individus.Je démontre, par la suite, qu'un évènement précoce en réponse aux signaux extracellulaires recrutant Ste5 à la membrane plasmique est également ultrasensible à l'augmentation de la concentration de phéromones et que cette ultrasensibilité est engendrée par la déphosphorylation de huit phosphosites en N-terminal sur Ste5 par la phosphatase Ptc1 lorsqu'elle est associée à Ste5 via la protéine polarisante, Bem1. L'interférence dans ce mécanisme provoque une perte de l'ultrasensibilité et réduit, du même coup, l'amplitude et la fidélité de la voie de réponse aux phéromones à la stimulation. Ces changements se reflètent en une réduction de la fidélité et de la précision de la morphologie attribuable à la réponse d'accouplement. La polarisation dans l'assemblage du complexe protéique à la surface de la membrane plasmique est un thème général persistant dans tous les organismes, de la bactérie à l'humain. Un tel complexe est en mesure d'accroître l'efficacité, la fidélité et la spécificité de la transmission du signal. L'ensemble de nos découvertes démontre que l'ultrasensibilité, la précision et la robustesse de la réponse aux phéromones découlent de la régulation de la phosphorylation stoichiométrique de deux groupes de phosphosites sur Ste5, par la phosphatase Ptc1, un groupe effectuant le recrutement ultrasensible de Ste5 à la membrane et un autre incitant la dissociation et l'activation ultrasensible de la MAPK terminal Fus3. Le rôle modulateur de Ste5 dans la décision de la destinée cellulaire étend le répertoire fonctionnel des protéines d'échafaudage bien au-delà de l'accessoire dans la spécificité et l'efficacité des traitements de l'information. La régulation de la dynamique des caractères signal-réponse à travers une telle régulation modulaire des groupes de phosphosites sur des protéines d'échafaudage combinées à l'assemblage à la membrane peut être un moyen général par lequel la polarisation du destin cellulaire est obtenue. Des mécanismes similaires peuvent contrôler les décisions cellulaires dans les organismes complexes et peuvent être compromis dans des dérèglements cellulaires, tel que le cancer. Finalement, sur un thème relié, je présente la découverte d'un nouveau mécanisme où le seuil de la concentration de phéromones est contrôlé par une voie sensorielle de nutriments, ajustant, de cette manière, le point prédéterminé dans lequel la quantité et la qualité des nutriments accessibles dans l'environnement déterminent le seuil à partir duquel la levure s'accouple. La sous-unité régulatrice de la kinase à protéine A (PKA),Bcy1, une composante clé du réseau signalétique du senseur aux nutriments, interagit directement avec la sous-unité α des petites protéines G, Gpa1, le premier effecteur dans le réseau de réponse aux phéromones. L'interaction Bcy1-Gpa1 est accrue lorsque la cellule croit en présence d'un sucre idéal, le glucose, diminuant la concentration seuil auquel la décision d'accouplement est activée. Compromettre l'interaction Bcy1-Gpa1 ou inactiver Bcy1 accroît la concentration seuil nécessaire à une réponse aux phéromones. Nous argumentons qu'en ajustant leur sensibilité, les levures peuvent intégrer le stimulus provenant des phéromones au niveau du glucose extracellulaire, priorisant la décision de survie dans un milieu pauvre ou continuer leur cycle sexuel en choisissant un accouplement.

Quasi-perfect state transfer in a bosonic dissipative network

In this paper we propose a scheme for quasi-perfect state transfer in a network of dissipative harmonic oscillators. We consider ideal sender and receiver oscillators connected by a chain of nonideal transmitter oscillators coupled by nearest-neighbour resonances. From the algebraic properties of the dynamical quantities describing the evolution of the network state, we derive a criterion, fixing the coupling strengths between all the oscillators, apart from their natural frequencies, enabling perfect state transfer in the particular case of ideal transmitter oscillators. Our criterion provides an easily manipulated formula enabling perfect state transfer in the special case where the network nonidealities are disregarded. We also extend such a criterion to dissipative networks where the fidelity of the transferred state decreases due to the loss mechanisms. To circumvent almost completely the adverse effect of decoherence, we propose a protocol to achieve quasi-perfect state transfer in nonideal networks. By adjusting the common frequency of the sender and the receiver oscillators to be out of resonance with that of the transmitters, we demonstrate that the sender`s state tunnels to the receiver oscillator by virtually exciting the nonideal transmitter chain. This virtual process makes negligible the decay rate associated with the transmitter line at the expense of delaying the time interval for the state transfer process. Apart from our analytical results, numerical computations are presented to illustrate our protocol.

Genetic evaluation of the mating system in the blue-and-yellow macaw (Ara ararauna, Aves, Psittacidae) by DNA fingerprinting

More than 90% of birds are socially monogamous, although genetic studies indicate that many are often not sexually monogamous. In the present study, DNA fingerprinting was used to estimate the genetic relationships between nestlings belonging to the same broods to evaluate the mating system in the socially monogamous macaw, Ara ararauna. We found that in 10 of 11 broods investigated, the nestlings showed genetic similarity levels congruent with values expected among full-sibs, suggesting that they shared the same parents. However, in one brood, the low genetic similarity observed between nestlings could be a result of intraspecific brood parasitism, intraspecific nest competition or extra-pair paternity. These results, along with available behavioral and life-history data, imply that the blue-and-yellow macaw is not only socially, but also genetically monogamous. However, the occurrence of eventual cases of extra-pair paternity cannot be excluded.

Casimir interaction between a perfect conductor and graphene described by the Dirac model

We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the quantum-field-theory approach and evaluate the leading-order diagram in a theory with 2+1-dimensional fermions interacting with 3+1-dimensional photons. Next, we consider an effective theory for the electromagnetic field with matching conditions induced by quantum quasiparticles in graphene. The first approach turns out to be the leading order in the coupling constant of the second one. The Casimir interaction for this system appears to be rather weak. It exhibits a strong dependence on the mass of the quasiparticles in graphene.

Alternative fidelity measure between quantum states

We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established.

Are there costs in the repeated mating activities of female Southern stink bugs Nezara viridula?

Mating is an energy demanding process, imposing risks to physical injuries, pathogen infection and predation. Nevertheless, repeated and multiple mating are widespread even in insect species where nuptial gifts are not involved. The effects of repeated mating, by the same male, are examined on the reproductive performance of female Southern green stink bug Nezara viridula (L.). Fecundity is reduced in females mated three or four times, although there is increased longevity. Females mated once or twice produce more egg clusters and concentrate egg-laying activity in the early part of adult life, whereas those mating more often lay eggs throughout the life span, with fewer egg clusters. Although fecundity is negatively affected by the number of matings, egg fertility remains unaffected.

Genetic structure and mating system of Euterpe edulis Mart. populations: A comparative analysis using microsatellite and allozyme markers

A comparative study between microsatellite and allozyme markers was conducted on the genetic structure and mating system in natural populations of Euterpe edulis Mart. Three cohorts, including seedlings, saplings, and adults, were examined in 4 populations using 10 allozyme loci and 10 microsatellite loci. As expected, microsatellite markers had a much higher degree of polymorphism than allozymes, but estimates of multilocus outcrossing rate ((t) over cap (m) = 1.00), as well as estimates of genetic structure (F(IS), G(ST)), were similar for the 2 sets of markers. Estimates of R(ST), for microsatellites, were higher than those of GST, but results of both statistics revealed a close agreement for the genetic structure of the species. This study provides support for the important conclusion that allozymes are still useful and reliable markers to estimate population genetic parameters. Effects of sample size on estimates from hypervariable loci are also discussed in this paper.

Maternal transmission efficiency of Wolbachia superinfections in Aedes albopictus populations in Thailand

We examined the transmission efficiency of 2 strains of Wolbachia bacteria that cause cytoplasmic incompatibility in field populations of Aedes albopictus by polymerase chain reaction assay. We found mainland and island populations throughout Thailand to be superinfected with group A and B bacteria. Of 320 Wolbachia-positive adult mosquitoes, 97.5% were infected with both groups. Single infected individuals of each Wolbachia group were encountered in nearly equal numbers. We screened 550 offspring from 80 field-collected mothers and found the transmission efficiency of group A Wolbachia to be 96.7% and that of group B Wolbachia to be 99.6%. Mothers that did not transmit both Wolbachia infections to all of their offspring were significantly larger in size than those with perfect transmission fidelity. We discuss our findings in relation to the prospects of the use of Wolbachia as a gene-driving mechanism.

Cytoplasmic incompatibility in Drosophila populations: influence of assortative mating on symbiont distribution

Cytoplasmic incompatibility is known to occur between strains of both Drosophila simulans and D. melanogaster. Incompatibility is associated with the infection of Drosophila with microorganismal endosymbionts. This paper reports survey work conducted on strains of D. simulans and D. melanogaster from diverse geographical locations finding that infected populations are relatively rare and scattered in their distribution. The distribution of infected populations of D. simulans appears to be at odds with deterministic models predicting the rapid spread of the infection through uninfected populations. Examination of isofemale lines from four localities in California where populations appear to be polymorphic for the infection failed to find evidence for consistent assortative mating preferences between infected and uninfected populations that may explain the basis for the observed polymorphism.

Decoherence and fidelity in ion traps with fluctuating trap parameters

We consider two different kinds of fluctuations in an ion trap potential: external fluctuating electrical fields, which cause statistical movement (wobbling) of the ion relative to the center of the trap, and fluctuations of the spring constant, which an due to fluctuations of the ac component of the potential applied in the Paul trap for ions. We write down master equations for both cases and, averaging out the noise, obtain expressions for the heating of the ion. We compare our results to previous results for far-off resonance optical traps and heating in ion traps. The effect of fluctuating external electrical fields for a quantum gate operation (controlled-NOT) is determined and the fidelity for that operation derived. [S1050-2947(99)06005-9].

Isotropic singularities in shear-free perfect fluid cosmologies

We investigate barotropic perfect fluid cosmologies which admit an isotropic singularity. From the General Vorticity Result of Scott, it is known that these cosmologies must be irrotational. In this paper we prove, using two different methods, that if we make the additional assumption that the perfect fluid is shear-free, then the fluid flow must be geodesic. This then implies that the only shear-free, barotropic, perfect fluid cosmologies which admit an isotropic singularity are the FRW models.