Molar morphology and occlusion of the Early Jurassic mammaliaform Erythrotherium parringtoni

Funding Information: We thank Bhart-Anjan Bhullar (Yale University, New Haven, USA) and Roger Smith (ISAM), who kindly provided the scan of Erythrotherium parringtoni, as well as Pip Brewer (Natural History Museum of Denmark, Copenhagen, Denmark), Michael Day, Farah Ahmed, Amin Garbout (all Natural History Museum, London, UK), Robert Asher and Mathew Lowe (both UMZC) for scans and access to comparative material of Morganucodon and Megazostrodon. We are also grateful to Anton Du Plessis (ISAM), Fernando Abdala (Bernard Price Institute for Palaeontological Research, Johannesburg, South Africa) and Amin Garbout (Natural History Museum, London, United Kingdom), who scanned the material used in this study. We also thank Richard Cifelli (Sam Noble Museum, Norman, USA) and David Grossnickle (University of Washington, Seattle, USA) for their kind and helpful reviews. This study was funded by grants MA 1643/15-2 and MA 1643/20-1 of the Deutsche Forschungsgemeinschaft (DFG) to TM. Publisher Copyright: Copyright © 2022 K.R.K. Jäger et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License (for details please see http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.The South African Early Jurassic morganucodontan Erythrotherium is considered by some authors to be potentially synonymous with Morganucodon, due to similar tooth morphology. However, despite their similar dental morphology, the occlusal pattern of Erythrotherium parringtoni has been described as embrasure occlusion, close to the mode of Megazostrodon rudnerae, rather than that of Morganucodon. In this study the molars of Erythrotherium were re-examined and the two alternative occlusal hypotheses were tested using the Occlusal Fingerprint Analyser (OFA). Morphological comparison of the molars of Erythrotherium parringtoni to those of Morganucodon watsoni showed similarities in cusp height and shape in lingual/buccal views, but the molars and individual cusps of Erythrotherium parringtoni are considerably narrower linguo-buccally, and more gracile. With cusps a and c close together in Erythrotherium parringtoni, cusp positioning differs from that of Morganucodon watsoni and shows similarities to the pattern in Megazostrodon rudnerae. Also, the upper molars of Erythrotherium parringtoni are aligned in a straight row and lack the angle, relative to the longitudinal axis, between the first and second upper molars that is present in Morganucodon watsoni. This results in embrasure occlusion being the only viable occlusal mode for Erythrotherium parringtoni, which was confirmed by the OFA analysis. A Morganucodon-like occlusion would allow only the main cusps a/A to contact their antagonists and thus major gaps would be present, causing considerable reduction of functionality of the dentition. Based on the morphological evidence and the differing occlusal mode, the perpetuation of Erythrotherium parringtoni as a separate genus is confirmed.Peer reviewe

Influence of the coorbital resonance on the rotation of the Trojan satellites of Saturn

The Cassini spacecraft collects high resolution images of the saturnian satellites and reveals the surface of these new worlds. The shape and rotation of the satellites can be determined from the Cassini Imaging Science Subsystem data, employing limb coordinates and stereogrammetric control points. This is the case for Epimetheus (Tiscareno et al. 2009) that opens elaboration of new rotational models (Tiscareno et al. 2009; Noyelles 2010; Robutel et al. 2011). Especially, Epimetheus is characterized by its horseshoe shape orbit and the presence of the swap is essential to introduce explicitly into rotational models. During its journey in the saturnian system, Cassini spacecraft accumulates the observational data of the other satellites and it will be possible to determine the rotational parameters of several of them. To prepare these future observations, we built rotational models of the coorbital (also called Trojan) satellites Telesto, Calypso, Helene, and Polydeuces, in addition to Janus and Epimetheus. Indeed, Telesto and Calypso orbit around the L_4 and L_5 Lagrange points of Saturn-Tethys while Helene and Polydeuces are coorbital of Dione. The goal of this study is to understand how the departure from the Keplerian motion induced by the perturbations of the coorbital body, influences the rotation of these satellites. To this aim, we introduce explicitly the perturbation in the rotational equations by using the formalism developed by Erdi (1977) to represent the coorbital motions, and so we describe the rotational motion of the coorbitals, Janus and Epimetheus included, in compact form

Using nanoscopy to probe the biological activity of antimicrobial leads that display potent activity against pathogenic, multidrug resistant, gram-negative bacteria

Medicinal leads that are also compatible with imaging technologies are attractive, as they facilitate the development of therapeutics through direct mechanistic observations at the molecular level. In this context, the uptake and antimicrobial activities of several luminescent dinuclear RuII complexes against E. coli were assessed and compared to results obtained for another ESKAPE pathogen, the Gram-positive major opportunistic pathogen Enterococcus faecalis, V583. The most promising lead displays potent activity, particularly against the Gram-negative bacteria, and potency is retained in the uropathogenic multidrug resistant EC958 ST131 strain. Exploiting the inherent luminescent properties of this complex, super-resolution STED nanoscopy was used to image its initial localization at/in cellular membranes and its subsequent transfer to the cell poles. Membrane damage assays confirm that the complex disrupts the bacterial membrane structure before internalization. Mammalian cell culture and animal model studies indicate that the complex is not toxic to eukaryotes, even at concentrations that are several orders of magnitude higher than its minimum inhibitory concentration (MIC). Taken together, these results have identified a lead molecular architecture for hard-to-treat, multiresistant, Gram-negative bacteria, which displays activities that are already comparable to optimized natural product-based leads

On the relation of Thomas rotation and angular velocity of reference frames

In the extensive literature dealing with the relativistic phenomenon of Thomas rotation several methods have been developed for calculating the Thomas rotation angle of a gyroscope along a circular world line. One of the most appealing concepts, introduced in \cite{rindler}, is to consider a rotating reference frame co-moving with the gyroscope, and relate the precession of the gyroscope to the angular velocity of the reference frame. A recent paper \cite{herrera}, however, applies this principle to three different co-moving rotating reference frames and arrives at three different Thomas rotation angles. The reason for this apparent paradox is that the principle of \cite{rindler} is used for a situation to which it does not apply. In this paper we rigorously examine the theoretical background and limitations of applicability of the principle of \cite{rindler}. Along the way we also establish some general properties of {\it rotating reference frames}, which may be of independent interest.Comment: 14 pages, 2 figure

Airborne ultrasound measurement of posturo-respiratory interaction

In healthy subjects, spinal alignment varies with the variations of lung volume and the natural breathing perturbs physiologically the balance. The reciprocal action between respiratory postural perturbation and partial counteraction of cyclic movements of the spine, pelvis and lower limbs represents the posturo-respiratory interaction (PRI). The PRI is centrally controlled. In the Obstructive Sleep Apnoea Syndrome (OSAS) specifics postural dysfunctions related to an abnormal PRI is observed. Numerous tools exist to measure the PRI. We propose an alternative approach which is contactless and non-invasive using airborne ultrasound devices. This approach offers the advantages to simultaneously assess breathing and postural variations and to be easily implemented in clinical settings. We first evaluate the performance of our device to assess the breathing pattern compared to that of a spirometer. We secondly use our approach to qualify the PRI by measuring the postural variation at the level of the T7 vertebra. We introduce a new parameter named pseudo-emergence similar to the classical emergence parameter. This parameter gives a value of 8.33%. This value is close to the median emergence that was compute from predecessor. We have demonstrated that the proposed method allows a reliable measurement of breathing. We also offer a contactless approach of a respiratory pseudo-emergence parameter to evaluate the PRI. The obtained parameters seem promising and consistent with the literature, but need to be confirm.Programme SOUFFLE de l'Institut Universitaire d'Ingénierie en Santé (IUIS

Fluctuations in the Cosmic Microwave Background I: Form Factors and their Calculation in Synchronous Gauge

It is shown that the fluctuation in the temperature of the cosmic microwave background in any direction may be evaluated as an integral involving scalar and dipole form factors, which incorporate all relevant information about acoustic oscillations before the time of last scattering. A companion paper gives asymptotic expressions for the multipole coefficient $C_\ell$ in terms of these form factors. Explicit expressions are given here for the form factors in a simplified hydrodynamic model for the evolution of perturbations.Comment: 35 pages, no figures. Improved treatment of damping, including both Landau and Silk damping; inclusion of late-time effects; several references added; minor changes and corrections made. Accepted for publication in Phys. Rev. D1

Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions

An essentially exact solution of the infinite dimensional Hubbard model is made possible by using a self-consistent mapping of the Hubbard model in this limit to an effective single impurity Anderson model. Solving the latter with quantum Monte Carlo procedures enables us to obtain exact results for the one and two-particle properties of the infinite dimensional Hubbard model. In particular we find antiferromagnetism and a pseudogap in the single-particle density of states for sufficiently large values of the intrasite Coulomb interaction at half filling. Both the antiferromagnetic phase and the insulating phase above the N\'eel temperature are found to be quickly suppressed on doping. The latter is replaced by a heavy electron metal with a quasiparticle mass strongly dependent on doping as soon as $n<1$. At half filling the antiferromagnetic phase boundary agrees surprisingly well in shape and order of magnitude with results for the three dimensional Hubbard model.Comment: 32 page

Deep Inelastic Scattering from off-Shell Nucleons

We derive the general structure of the hadronic tensor required to describe deep-inelastic scattering from an off-shell nucleon within a covariant formalism. Of the large number of possible off-shell structure functions we find that only three contribute in the Bjorken limit. In our approach the usual ambiguities encountered when discussing problems related to off-shellness in deep-inelastic scattering are not present. The formulation therefore provides a clear framework within which one can discuss the various approximations and assumptions which have been used in earlier work. As examples, we investigate scattering from the deuteron, nuclear matter and dressed nucleons. The results of the full calculation are compared with those where various aspects of the off-shell structure are neglected, as well as with those of the convolution model.Comment: 36 pages RevTeX, 9 figures (available upon request), ADP-93-210/T128, PSI-PR-93-13, accepted for publication in Physical Review

Verification of a rigorous 2D model of rough surface scattering

A rigorous two-dimensional (2D) model of electromagnetic surface scatter has been developed, based on a boundary element method (BEM) established by Simonsen [1]. Simulated far-field scatter is compared to that measured from a laser scatterometer for a sinusoidal grating, with a mean difference of 3% of the peak intensity