The average inter-crossing number of equilateral random walks and polygons

In this paper, we study the average inter-crossing number between two random walks and two random polygons in the three-dimensional space. The random walks and polygons in this paper are the so-called equilateral random walks and polygons in which each segment of the walk or polygon is of unit length. We show that the mean average inter-crossing number ICN between two equilateral random walks of the same length n is approximately linear in terms of n and we were able to determine the prefactor of the linear term, which is a = (3 In 2)/(8) approximate to 0.2599. In the case of two random polygons of length n, the mean average inter-crossing number ICN is also linear, but the prefactor of the linear term is different from that of the random walks. These approximations apply when the starting points of the random walks and polygons are of a distance p apart and p is small compared to n. We propose a fitting model that would capture the theoretical asymptotic behaviour of the mean average ICN for large values of p. Our simulation result shows that the model in fact works very well for the entire range of p. We also study the mean ICN between two equilateral random walks and polygons of different lengths. An interesting result is that even if one random walk (polygon) has a fixed length, the mean average ICN between the two random walks (polygons) would still approach infinity if the length of the other random walk (polygon) approached infinity. The data provided by our simulations match our theoretical predictions very well.

New electrocardiographic criteria for discriminating between Brugada types 2 and 3 patterns and incomplete right bundle branch block.

OBJECTIVES: The aim of this study was to evaluate new electrocardiographic (ECG) criteria for discriminating between incomplete right bundle branch block (RBBB) and the Brugada types 2 and 3 ECG patterns. BACKGROUND: Brugada syndrome can manifest as either type 2 or type 3 pattern. The latter should be distinguished from incomplete RBBB, present in 3% of the population. METHODS: Thirty-eight patients with either type 2 or type 3 Brugada pattern that were referred for an antiarrhythmic drug challenge (AAD) were included. Before AAD, 2 angles were measured from ECG leads V(1) and/or V(2) showing incomplete RBBB: 1) α, the angle between a vertical line and the downslope of the r'-wave, and 2) β, the angle between the upslope of the S-wave and the downslope of the r'-wave. Baseline angle values, alone or combined with QRS duration, were compared between patients with negative and positive results on AAD. Receiver-operating characteristic curves were constructed to identify optimal discriminative cutoff values. RESULTS: The mean β angle was significantly smaller in the 14 patients with negative results on AAD compared to the 24 patients with positive results on AAD (36 ± 20° vs. 62 ± 20°, p < 0.01). Its optimal cutoff value was 58°, which yielded a positive predictive value of 73% and a negative predictive value of 87% for conversion to type 1 pattern on AAD; α was slightly less sensitive and specific compared with β. When the angles were combined with QRS duration, it tended to improve discrimination. CONCLUSIONS: In patients with suspected Brugada syndrome, simple ECG criteria can enable discrimination between incomplete RBBB and types 2 and 3 Brugada patterns.

Subknots in ideal knots, random knots, and knotted proteins.

We introduce disk matrices which encode the knotting of all subchains in circular knot configurations. The disk matrices allow us to dissect circular knots into their subknots, i.e. knot types formed by subchains of the global knot. The identification of subknots is based on the study of linear chains in which a knot type is associated to the chain by means of a spatially robust closure protocol. We characterize the sets of observed subknot types in global knots taking energy-minimized shapes such as KnotPlot configurations and ideal geometric configurations. We compare the sets of observed subknots to knot types obtained by changing crossings in the classical prime knot diagrams. Building upon this analysis, we study the sets of subknots in random configurations of corresponding knot types. In many of the knot types we analyzed, the sets of subknots from the ideal geometric configurations are found in each of the hundreds of random configurations of the same global knot type. We also compare the sets of subknots observed in open protein knots with the subknots observed in the ideal configurations of the corresponding knot type. This comparison enables us to explain the specific dispositions of subknots in the analyzed protein knots.

Block of the superior cervical ganglion, description of a novel ultrasound-guided technique in human cadavers.

OBJECTIVE.: Injection of opioids to the superior cervical ganglion (SCG) has been reported to provide pain relief in patients suffering from different kinds of neuropathic facial pain conditions, such as trigeminal neuralgia, postherpetic neuralgia, and atypical facial pain. The classic approach to the SCG is a transoral technique using a so-called "stopper" to prevent accidental carotid artery puncture. The main disadvantage of this technique is that the needle tip is positioned distant from the actual target, possibly impeding successful block of the SCG. A further limitation is that injection of local anesthetics due to potential carotid artery puncture is contraindicated. We hypothesized that the SCG can be identified and blocked using ultrasound imaging, potentially increasing precision of this technique. INTERVENTIONS.: In this pilot study, 20 US-guided simulated blocks of the SCG were performed in 10 human cadavers in order to determine the accuracy of this novel block technique. After injection of 0.1 mL of dye, the cadavers were dissected to evaluate the needle position and coloring of the SCG. RESULTS.: Nineteen of the 20 needle tips were located in or next to the SCG. This corresponded to a simulated block success rate of 95% (95% confidence interval 85-100%). In 17 cases, the SCG was completely colored, and in two cases, the caudal half of the SCG was colored with dye. CONCLUSIONS.: The anatomical dissections confirmed that our ultrasound-guided approach to the SCG is accurate. Ultrasound could become an attractive alternative to the "blind" transoral technique of SCG blocks.

Towards a system analysis of the early steps of infectious endocarditis pathogenesis

L'endocardite infectieuse (EI) est une maladie potentiellement mortelle qui doit être prévenue dans toute la mesure du possible. Au cours de ces dernières 50 années, les recommandations Américaines et Européennes pour la prophylaxie de PEI proposaient aux patients à risques de prendre un antibiotique, préventif avant de subir une intervention médico-chirurgicale susceptible d'induire une bactériémie transitoire. Cependant, des études épidémiologiques récentes ont montré que la plupart des EI survenaient en dehors de tous actes médico-chirurgicaux, et indépendamment de la prise ou non de prophylaxie antibiotique . L'EI pourrait donc survenir suite à la cumulation de bactériémies spontanées de faibles intensités, associées à des activités de la vie courante telle que le brossage dentaire pour le streptocoques, ou à partir de tissus colonisés ou de cathéters infectés pour les staphylocoques. En conséquence, les recommandations internationales pour la prophylaxie de PEI ont été revues et proposent une diminution drastique de l'utilisation d'antibiotiques. Cependant, le risque d'EI représenté par le cumul de bactériémies de faibles intensités n'a pas été démontré expérimentalement. Nous avons développé un nouveau modèle d'EI expérimentale induite par une inoculation en continu d'une faible quantité de bactéries, simulant le cumul de bactériémies de faibles intensités chez l'homme, et comparé l'infection de Streptococcus gordonii et de Staphylococcus aureus dans ce modèle avec celle du modèle d'IE induite par une bactériémie brève, mais de forte intensité. Nous avons démontré, après injection d'une quantité égale de bactéries, que le nombre de végétations infectées était similaire dans les deux types d'inoculations. Ces résultats expérimentaux ont confirmé l'hypothèse qu'une exposition cumulée à des bactériémies de faibles intensités, en dehors d'une procédure médico-chirurgicale, représentait un risque pour le développement d'une El, comme le suggéraient les études épidémiologiques. En plus, ces résultats ont validé les nouvelles recommandations pour la prophylaxie de l'El, limitant drastiquement l'utilisation d'antibiotiques. Cependant, ces nouvelles recommandations laissent une grande partie (> 90%) de cas potentiels d'EI sans alternatives de préventions, et des nouvelles stratégies prophylactiques doivent être investiguées. Le nouveau modèle d'EI expérimentale représente un modèle réaliste pour étudier des nouvelles mesures prophylactiques potentielles appliquées à des expositions cumulées de bactériémies de faible nombre. Dans un contexte de bactériémies spontanées répétitives, les antibiotiques ne peuvent pas résoudre le problème de la prévention de l'EI. Nous avons donc étudié la une alternative de prévention par l'utilisation d'agents antiplaquettaires. La logique derrière cette approche était basée sur le fait que les plaquettes sont des composants clés dans la formation des végétations cardiaques, et le fait que les bactéries capables d'interagir avec les plaquettes sont plus enclines à induire une El. Les agents antiplaquettaires utilisés ont été l'aspirine (inhibiteur du COX1), la ticlopidine (inhibiteur du P2Y12, le récepteur de l'ADP), et l'eptifibatide et Pabciximab, deux inhibiteurs du GPIIb/IIIa, le récepteur plaquettaire pour le fibrinogène. Les anticoagulants étaient le dabigatran etexilate, inhibant lathrombine et l'acenocumarol, un antagoniste de la vitamine K. L'aspirine, la ticlopidine ou l'eptifibatide seuls n'ont pas permis de prévenir l'infection valvulaire (> 75% animaux infectés). En revanche, la combinaison d'aspirine et de ticlopidine, aussi bien que l'abciximab, ont protégé 45% - 88% des animaux de l'EI par S. gordonii et par S. aureus. L'antithrombotique dabigatran etexilate à protégé 75% des rats contre l'EI par S. aureus, mais pas (< 30% de protection) par S. gordonii. L'acenocoumarol n'a pas eu d'effet sur aucun des deux organismes. En général, ces résultats suggèrent un possible rôle pour les antiplaquettaires et du dabigatran etexilate dans la prophylaxie de l'EI dans un contexte de bactériémies récurrentes de faibles intensités. Cependant, l'effet bénéfique des antiplaquettaires doit être soupesé avec le risque d'hémorragie inhérent à ces molécules, et le fait que les plaquettes jouent un important rôle dans les défenses de l'hôte contre les infections endovasculaires. En plus, le double effet bénéfique du dabigatran etexilate devrait être revu chez les patients porteurs de valves prothétiques, qui ont besoin d'une anticoagulation à vie, et chez lesquels l'EI à S. aureus est associée avec une mortalité de près de 50%. Comme l'approche avec des antiplaquettaires et des antithrombotiques pourrait avoir des limites, une autre stratégie prophylactique pourrait être la vaccination contre des adhésines de surfaces des pathogènes. Chez S. aureus, la protéine de liaison au fibrinogène, ou dumping factor A (ClfA), et la protéine de liaison à la fibronectine (FnbpA) sont des facteurs de virulence nécessaires à l'initiation et l'évolution de PEI. Elles représentent donc des cibles potentielles pour le développement de vaccins contre cette infection. Récemment, des nombreuses publications ont décrit que la bactérie Lactococcus lactis pouvait être utilisée comme vecteur pour la diffusion d'antigènes bactériens in vivo, et que cette approche pourrait être une stratégie de vaccination contre les infections bactériennes. Nous avons exploré l'effet de l'immunisation par des recombinant de L. lactis exprimant le ClfA, la FnbpA, ou le ClfA ensemble avec et une forme tronquée de la FnbpA (Fnbp, comprenant seulement le domaine de liaison à la fibronectine mais sans le domaine A de liaison au fibrinogène [L. lactis ClfA/Fnbp]), dans la prophylaxie de PIE expérimentale à S. aureus. L. lactis ClfA a été utilisés comme agent d'immunisation contre la souche S. aureus Newman (qui a particularité de n'exprimer que le ClfA, mais pas la FnbpA). L. lactis ClfA, L. lactis FnbpA, et L. lactis ClfA/Fnbp, ont été utilisé comme agents d'immunisation contre une souche isolée d'une IE, S. aureus P8 (exprimant ClfA et FnbpA). L'immunisation avec L. lactis ClfA a généré des anticorps anti-ClfA fonctionnels, capables de bloquer la liaison de S. aureus Newman au fibrinogène in vitro et protéger 13/19 (69%) animaux d'une El due à S. aureus Newman (P < 0.05 comparée aux contrôles). L'immunisation avec L. lactis ClfA, L. lactis FnbpA, ou L. lactis ClfA/Fnbp, a généré des anticorps contre chacun de ces antigènes. Cependant, ils n'ont pas permis de bloquer l'adhésion de S. aureus P8 au fibrinogène et à la fibronectine in vitro. De plus, l'immunisation avec L. lactis ClfA ou L. lactis FnbpA s'est avérée inefficace in vivo (< 10% d'animaux protégés d'une El) et l'immunisation avec L. lactis ClfA/Fnbp a fourni une protection limitée de l'EI (8/23 animaux protégés; P < 0.05 comparée aux contrôles) après inoculation avec S. aureus P8. Dans l'ensemble, ces résultats indiquent que L. lactis est un système efficace pour la présentation d'antigènes in vivo et potentiellement utile pour la prévention de PEI à S. aureus. Cependant, le répertoire de protéines de surface de S. aureus capable d'évoquer une panoplie d'anticorps efficace reste à déterminer.. En résumé, notre étude a démontré expérimentalement, pour la première fois, qu'une bactériémie répétée de faible intensité, simulant la bactériémie ayant lieu, par exemple, lors des activités de la vie quotidienne, est induire un taux d'EI expérimentale similaire à celle induite par une bactériémie de haute intensité suite à une intervention médicale. Dans ce contexte, où l'utilisation d'antibiotiques est pas raisonnable, nous avons aussi montré que d'autres mesures prophylactiques, comme l'utilisation d'agents antiplaquettaires ou antithrombotiques, ou la vaccination utilisant L. lactis comme vecteur d'antigènes bactériens, sont des alternatives prometteuses qui méritent d'être étudiées plus avant. Thesis Summary Infective endocarditis (IE) is a life-threatening disease that should be prevented whenever possible. Over the last 50 years, guidelines for IE prophylaxis proposed the use of antibiotics in patients undergoing dental or medico-surgical procedures that might induce high, but transient bacteremia. However, recent epidemiological studies indicate that IE occurs independently of medico-surgical procedures and the fact that patients had taken antibiotic prophylaxis or not, i.e., by cumulative exposure to random low-grade bacteremia, associated with daily activities (e.g. tooth brushing) in the case of oral streptococci, or with a colonized site or infected device in the case of staphylococci. Accordingly, the most recent American and European guidelines for IE prophylaxis were revisited and updated to drastically restrain antibiotic use. Nevertheless, the relative risk of IE represented by such cumulative low-grade bacteremia had never been demonstrated experimentally. We developed a new model of experimental IE due to continuous inoculation of low-grade bacteremia, mimicking repeated low-grade bacteremia in humans, and compared the infectivity of Streptococcus gordonii and Staphylococcus aureus in this model to that in the model producing brief, high-level bacteremia. We demonstrated that, after injection of identical bacterial numbers, the rate of infected vegetations was similar in both types of challenge. These experimental results support the hypothesis that cumulative exposure to low-grade bacteremia, outside the context of procedure-related bacteremia, represents a genuine risk of IE, as suggested by human epidemiological studies. In addition, they validate the newer guidelines for IE prophylaxis, which drastic limit the procedures in which antibiotic prophylaxis is indicated. Nevertheless, these refreshed guidelines leave the vast majority (> 90%) of potential IE cases without alternative propositions of prevention, and novel strategies must be considered to propose effective alternative and "global" measures to prevent IE initiation. The more realistic experimental model of IE induced by low-grade bacteremia provides an accurate experimental setting to study new preventive measures applying to cumulative exposure to low bacterial numbers. Since in a context of spontaneous low-grade bacteremia antibiotics are unlikely to solve the problem of IE prevention, we addressed the role of antiplatelet and anticoagulant agents for the prophylaxis of experimental IE induced by S. gordonii and S. aureus. The logic of this approach was based on the fact that platelets are key players in vegetation formation and vegetation enlargement, and on the fact that bacteria capable of interacting with platelets are more prone to induce IE. Antiplatelet agents included the COX1 inhibitor aspirin, the inhibitor of the ADP receptor P2Y12 ticlopidine, and two inhibitors of the platelet fibrinogen receptor GPIIb/IIIa, eptifibatide and abciximab. Anticoagulants included the thrombin inhibitor dabigatran etexilate and the vitamin K antagonist acenocoumarol. Aspirin, ticlopidine or eptifibatide alone failed to prevent aortic infection (> 75% infected animals). In contrast, the combination of aspirin with ticlopidine, as well as abciximab, protected 45% to 88% of animals against IE due to S. gordonii and S. aureus. The antithrombin dabigatran etexilate protected 75% of rats against IE due to S. aureus, but failed (< 30% protection) against S. gordonii. Acenocoumarol had no effect against any bacteria. Overall, these results suggest a possible role for antiplatelet agents and dabigatran etexilate in the prophylaxis of IE in humans in a context of recurrent low- grade bacteremia. However, the potential beneficial effect of antiplatelet agents should be balanced against the risk of bleeding and the fact that platelets play an important role in the host defenses against intravascular infections. In addition, the potential dual benefit of dabigatran etexilate might be revisited in patients with prosthetic valves, who require life-long anticoagulation and in whom S. aureus IE is associated with high mortality rate. Because the antiplatelet and anticoagulant approach might be limited in the context of S. aureus bacteremia, other prophylactic strategies for the prevention of S. aureus IE, like vaccination with anti-adhesion proteins was tested. The S. aureus surface proteins fibrinogen-binding protein clumping-factor A (ClfA) and the fibronectin-binding protein A (FnbpA) are critical virulence factors for the initiation and development of IE. Thus, they represent key targets for vaccine development against this disease. Recently, numerous reports have described that the harmless bacteria Lactococcus lactis can be used as a bacterial vector for the efficient delivery of antigens in vivo, and that this approach is a promising vaccination strategy against bacterial infections. We therefore explored the immunization capacity of non- living recombinant L. lactis ClfA, L. lactis FnbpA, or L. lactis expressing ClfA together with Fnbp (a truncated form of FnbpA with only the fibronectin-binding domain but lacking the fibrinogen-binding domain A [L. lactis ClfA/Fnbp]), to protect against S. aureus experimental IE. L. lactis ClfA was used as immunization agent against the laboratory strain S. aureus Newman (expressing ClfA, but lacking FnbpA). L. lactis ClfA, L. lactis FnbpA, as well as L. lactis ClfA/Fnbp, were used as immunization agents against the endocarditis isolate S. aureus P8 (expressing both ClfA and FnbpA). Immunization with L. lactis ClfA produced anti-ClfA functional antibodies, which were able to block the binding of S. aureus Newman to fibrinogen in vitro and protect 13/19 (69%) animals from IE due to S. aureus Newman (P < 0.05 compared to controls). Immunization with L. lactis ClfA, L. lactis FnbpA or L. lactis ClfA/Fnbp, produced antibodies against each antigen. However, they were not sufficient to block S. aureus P8 binding to fibrinogen and fibronectin in vitro. Moreover, immunization with L. lactis ClfA or L. lactis FnbpA was ineffective (< 10% protected animals) and immunization with L. lactis ClfA/Fnbp conferred limited protection from IE (8/23 protected animals; P < 0.05 compared to controls) after challenge with S. aureus P8. Together, these results indicate that L. lactis is an efficient delivering antigen system potentially useful for preventing S. aureus IE. They also demonstrate that expressing multiple antigens in L. lactis, yet to be elucidated, will be necessary to prevent IE due to clinical S. aureus strains fully equipped with virulence determinants. In summary, our study has demonstrated experimentally, for the first time, the hypothesis that low-grade bacteremia, mimicking bacteremia occurring outside of a clinical intervention, is equally prone to induce experimental IE as high-grade bacteremia following medico-surgical procedures. In this context, where the use of antibiotics for the prophylaxis of IE is limited, we showed that other prophylactic measures, like the use of antiplatelets, anticoagulants, or vaccination employing L. lactis as delivery vector of bacterial antigens, are reasonable alternatives that warrant to be further investigated.

Tightness of random knotting.

Long polymers in solution frequently adopt knotted configurations. To understand the physical properties of knotted polymers, it is important to find out whether the knots formed at thermodynamic equilibrium are spread over the whole polymer chain or rather are localized as tight knots. We present here a method to analyze the knottedness of short linear portions of simulated random chains. Using this method, we observe that knot-determining domains are usually very tight, so that, for example, the preferred size of the trefoil-determining portions of knotted polymer chains corresponds to just seven freely jointed segments.

Predicting optimal lengths of random knots

In a thermally fluctuating long linear polymeric chain in a solution, the ends, from time to time, approach each other. At such an instance, the chain can be regarded as closed and thus will form a knot or rather a virtual knot. Several earlier studies of random knotting demonstrated that simpler knots show a higher occurrence for shorter random walks than do more complex knots. However, up to now there have been no rules that could be used to predict the optimal length of a random walk, i.e. the length for which a given knot reaches its highest occurrence. Using numerical simulations, we show here that a power law accurately describes the relation between the optimal lengths of random walks leading to the formation of different knots and the previously characterized lengths of ideal knots of a corresponding type.

The early Miocene rotation of the Corso-Sardinian block. New paleomagnetic constraints for the end of the motion

The paleomagnetic investigations carried out in the 70's on Oligo-Miocene volcanics of Sardinia have demonstrated that the island was turned by 35-30 degrees clockwise from 33 Ma up to 3-1-20.5 Ma and rotated counterclockwise in a few million years [De Jong et al., 1969, 1973; Bobier et Coulon, 1970; Coulon et al., 1974; Manzoni, 1974, 1975; Bellon rr nl.. 1977: Edel et Lortscher, 1977; Edel, 1979, 1980]. Since then, the end of the rotation fixed at 19 Ma by Montigny er al. [1981] was the subject of discussions and several studies associating paleomagnetism and radiometric dating were undertaken [Assorgia er al., 1994: Vigliotti et Langenheim, 1995: Deino et al., 1997; Gattacceca rt Deino, 1999]. This is a contribution to this debate that is hampered by thr important secular variation recorded in the volcanics. The only way to get our of this problem is to sample series of successive flows as completely as possible, and to reduce the effect of secular variation by the calculation of means. Sampling was performed north of Bonorva in 5 pyroclastic flows that belong to the upper ignimbritic series SI2 according to Coulon rr nl. [1974] or LBLS according to Assorgia et al. [1997] (fig. I). Ar-40/Ar-39 dating of biotites from the debris flow (MDF) has yielded an age or 18.35 +/- 0.03 Ma [Dubois, 2000]. Five of the investigated sites are located beneath the debris flow ITV, TVB, TVD, SPM85, SPM86), one site was cured in the matrix of the debris flow (MDF) and one in 4 metric blocks included in the flow (DFC). Another site was sampled in the upper ash flow (PDM) that marks the end of the pyroclastic activity, just before the marine transgression. According to micropaleontological and radiometric dating this transgression has occurred between 18.35 and 17.6 Ma [Dubois, 2000]. After removal of a soft viscous component, the thermal demagnetization generally shows a univectorial behaviour of the remanent magnetization (fig. 2a). The maximum unblocking temperatures of 580-620 degrees (tab. I) and a rapid saturation below 100 mT (fig. 3) indicate that the carrier of the characteristic magnetization is magnetite. The exception comes: from the upper site PDM in which were found two characteristic components, one with a normal polarity and low unblocking temperatures up to 350 degreesC and one with a reversed polarity and maximum unblocking temperatures at 580-600 degreesC of magnetite. After calculation of a mean direction for each flow, the mean << Al >> direction 4 degrees /57 degrees (alpha (95) = 13 degrees) computed with the mean directions for the 5 flows may be considered as weakly affected by secular variation. But the results require a more careful examination. The declinations are N to NNW beneath the debris flow. NNW in the debris flow. and NNE (or SSW) above the debris flow, The elongated distribution of the directions obtained at sites TVB and TVD. scattered from the mean direction of TV to the mean direction of MDF is interpreted as due to partial overprinting during the debris How volcanic episode, The low temperature component PDMa is likely related to the alteration seen on thin sections and is also viewed as an overprint. As NNE/SSW directions occur as well below (mean direction << B >> : 5 degrees /58 degrees) as above the debris flow (PDMb : 200 degrees/-58 degrees). the NNW directions (<< C >> : 337 degrees /64 degrees) associated with the debris flow volcanism may be interpreted as resulting from a magnetic field excursion. According to the polarity scale of Cande and Kent [1992, 1995] and the radiometric age of MDF, the directions with normal polarity (TV, TVB, TVD, SPM85. SPM86a. MDF. DFC) may represent the period 5En. while the directions with reversed polarity PDMb and SPM86b were likely acquired during the period 5Dr. Using the mean << Al >> direction, the mean << B >>, or the PDM direction (tab. I). the deviation in declination with the direction of stable Europe 6.4 degrees /58.7 degrees (alpha (95) = 8 degrees) for a selection of 4 middle Tertiary poles by Besse et Courtillot [1991] or 7 degrees /56 degrees (alpha (95) = 3 degrees) for 19 poles listed by Edel [1980] can be considered as negligible. Using the results from the uppermost ignimbritic layer of Anglona also emplaced around 18.3 Ma [Odin rt al.. 1994]. the mean direction << E >> (3 degrees /51.5 degrees) leads to the same conclusion. On the contrary, when taking into account all dated results available for the period 5En (mean direction << D >> 353 degrees /56 degrees for 45 sites) (tab. II). the deviation 13 degrees is much more significant. As the rotation of Sardinia started around 21-20.5 Ma. the assumption of a constant velocity of rotation and the deviations of the Sardinia directions with respect to the stable Europe direction locate the end of the motion between 18.3 and 17.2 or 16.7 Ma (fig. 4). During the interval 18.35-17.5 Ma, the marine transgression took place. At the same period a NE-SW shortening interpreted as resulting from the collision of Sardinia with Apulia affected different parts of the island [Letouzey et al., 1982]. Consequently, the new paleomagnetic results and the tectono-sedimentary evolution are in favour of an end of the rotation at 17.5-18 Ma.

Non-random fertilization in mice correlates with the MHC and something else

One evolutionary explanation for the success of sexual reproduction assumes that sex is an advantage in the coevolutionary arms race between pathogens and hosts. Accordingly, an important criterion in mate choice and maternal selection thereafter could be the allelic specificity at polymorphic loci involved in parasite-host interactions, e.g. the MHC (major histocompatibility complex). The MHC has been found to influence mate choice and selective abortions in mice and humans. However, it could also influence the fertilization process itself, i.e. (i) the oocyte's choice for the fertilizing sperm, and (ii) the outcome of the second meiotic division after the sperm has entered the egg. We tested both hypotheses in an in vitro fertilization experiment with two inbred mouse strains congenic for their MHC. The genotypes of the resulting blastocysts were determined by polymerase chain reaction. We found nonrandom MHC combinations in the blastocysts which may result from both possible choice mechanisms. The outcome changed significantly over time, indicating that a choice for MHC combinations during fertilization may be influenced by one or several external factors.