Geometric Analysis Research Articles

Phylogenetics, Molecular Species Delimitation and Geometric Morphometrics of All Reddish-Brown Species in the Genus Neotriplax Lewis, 1887 (Coleoptera: Erotylidae: Tritomini).

To date, five species of reddish-brown Neotriplax have been described, but their highly similar body color and other phenotypic traits make accurate taxonomy challenging. To clarify species-level taxonomy and validate potential new species, the cytochrome oxidase subunit I (COI) was used for phylogenetic analysis and the geometric morphometrics of elytron, pronotum, and hind wing were employed to distinguish all reddish-brown Neotriplax species. Phylogenetic results using maximum likelihood and Bayesian analyses of COI sequences aligned well with the current taxonomy of the Neotriplax species group. Significant K2P divergences, with no overlap between intra- and interspecific genetic distances, were obtained in Neotriplax species. The automatic barcode gap discovery (ABGD), assemble species by automatic partitioning (ASAP), and generalized mixed Yule coalescent (GMYC) approaches concurred, dividing the similar species into eight molecular operational taxonomic units (MOTUs). Geometric morphometric analysis using pronotum, elytron, hind wing shape and wing vein patterns also validated the classification of all eight species. By integrating these analytical approaches with morphological evidence, we successfully delineated the reddish-brown species of Neotriplax into eight species with three new species: N. qinghaiensis sp. nov., N. maoershanensis sp. nov., and N. guangxiensis sp. nov. Furthermore, we documented the first record of N. lewisii in China. This study underscores the utility of an integrative taxonomy approach in species delimitation within Neotriplax and serves as a reference for the taxonomic revision of other morphologically challenging beetles through integrative taxonomy.

3D airway geometry analysis of factors in airway navigation failure for lung nodules

BackgroundThis study aimed to quantitatively reveal contributing factors to airway navigation failure during radial probe endobronchial ultrasound (R-EBUS) by using geometric analysis in a three-dimensional (3D) space and to investigate the clinical feasibility of prediction models for airway navigation failure.MethodsWe retrospectively reviewed patients who underwent R-EBUS between January 2017 and December 2018. Geometric quantification was analyzed using in-house software built with open-source python libraries including the Vascular Modeling Toolkit (http://www.vmtk.org), simple insight toolkit (https://sitk.org), and sci-kit image (https://scikit-image.org). We used a machine learning-based approach to explore the utility of these significant factors.ResultsOf the 491 patients who were eligible for analysis (mean age, 65 years +/- 11 [standard deviation]; 274 men), the target lesion was reached in 434 and was not reached in 57. Twenty-seven patients in the failure group were matched with 27 patients in the success group based on propensity scores. Bifurcation angle at the target branch, the least diameter of the last section, and the curvature of the last section are the most significant and stable factors for airway navigation failure. The support vector machine can predict airway navigation failure with an average area under the curve of 0.803.ConclusionsGeometric analysis in 3D space revealed that a large bifurcation angle and a narrow and tortuous structure of the closest bronchus from the lesion are associated with airway navigation failure during R-EBUS. The models developed using quantitative computer tomography scan imaging show the potential to predict airway navigation failure.

Geometric Morphometrics and Genetic Diversity Analysis of Chalcidoidea (Diglyphus and Pachyneuron) at Various Elevations.

Eulophidae and Pteromalidae are parasitic wasps with a global distribution and import for the biological control of pests. They can be distributed in different altitude regions, but their morphological and genetic adaptations to different altitudes are unclear. Here, we collected specimens that belong to Eulophidae and Pteromalidae from various altitudinal gradients, based on integrated taxonomic approaches to determine the species composition, and we analyzed their body shape and size from different altitudes using geometric morphometrics. Then, we performed an analysis of the D. isaea population's haplotype genes to illustrate their genetic diversity. As a result, eight species that belong to two genera, Diglyphus Walker (Eulophidae) and Pachyneuron Walker (Pteromalidae), were identified, including two newly recorded species from China (D. chabrias and D. sabulosus). Through a geometric morphometrics analysis of body shape, we found that a narrow forewing shape and a widened thorax are the significant characteristics of adaptation to high-altitude environments in D. isaea and P. aphidis. Additionally, the body size studies showed a principal relationship between centroid size and altitude; the size of the forewings and thorax increases at higher altitudes. Next, using haplotype analysis, 32 haplotypes were found in seven geographic populations with high genetic diversity of this species. Our research provides preliminary evidence for the morphological and genetic diversity adaptation of parasitic wasps to extreme environments, and these data can provide important references for investigations on the ecological adaptability of parasitic wasps.

Geometry from integrability: multi-leg fishnet integrals in two dimensions

We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their associated geometry, are completely fixed by their Yangian and permutation symmetries. As a new feature for the hexagonal fishnets, the star-triangle identity introduces an ambiguity in the graph representation of a given Feynman integral. This translates into a map between different geometric interpretations attached to a graph. We demonstrate explicitly how these fishnet integrals can be understood as Calabi-Yau varieties, whose Picard-Fuchs ideals are generated by the Yangian over the conformal algebra. In analogy to elliptic curves, which represent the simplest examples of fishnet integrals with four-point vertices, we find that the simplest examples of three-point fishnets correspond to Picard curves with natural generalisations at higher loop orders.

Integrative studies of Microtus hartingi and Microtus guentheri (Cricetidae, Arvicolinae) and taxonomic problem of Microtus elbeyli

In this study, Taxonomic differences between Microtus guentheri and Microtus hartingi, which are similar in terms of external morphological features, were determined using linear morphometric, geometric morphometric, karyological and molecular analyses methods. Through classical morphometric (mean values) and geometric morphometric analyses of craniodental and mandible characters, influenced by various genetic, developmental, and functional processes, it was found that M. hartingi and M. guentheri exhibited notable differences in both mean linear measurements and shape. The Jackknife in classical morphometric analyses of samples, which underwent molecular and karyological species diagnoses, was higher than 88 % for each character. In geometric morphometric analyses, the Procrustes distance for shape follows the order Ventral < Dorsal < Mandible < M3<M2<M1. Based on cross-validation, the accurate classification rate is between 73 and 100 %. In both mean linear measurements and centroid size, M. hartingi specimens exhibited significantly larger mandibles and craniodentals compared to individuals of M. guentheri. According to PLS results, there was a significant relationship between the shape of M1, M2 and M3 and environmental variables, while the relationship between their size and environmental variables was not significant. However, neither the shape nor the size of the other parts had an sufficient relationship with environmental variables. Both species exhibited karyological similarity with a chromosome number of 2n = 54, but display polymorphism in chromosome arm number. There were differences in the C-banding of autosomal chromosomes and X chromosome. The classification of species in classical and geometric morphometric analyses, diverges from the outcomes of karyological and molecular assessments. In both species, the intraspecific genetic distance remained below 1.35 %. The cyt-b exhibits significant differentiation between the two species (K2P = 6.55 %). The divergence time for M. guentheri from the clade containing M. hartingi + M. qazvinensis + Microtus dogramacii was estimated to be 0.73 million years ago. Since no sample of Microtus elbeyli with karyological and cyt-b characteristics was found in the samples taken from the type locality, the taxonomic status of M. elbeyli remains unclear.

Battles and crossings of methods: Sequence analysis and geometric data analysis for the study of professional careers

This article proposes to discuss the exploratory use of two quantitative methods: on the one hand sequence analysis combined with optimal matching methods, and on the other hand geometric data analysis, more specifically multiple correspondence analysis and principal component analysis, combined with hierarchical ascending classifications. The aim is not to determine whether one method is more effective than another, nor to pit them against each other. The aim is to identify similarities and differences, and, more generally, to reflect on the cross-use of quantitative methods. The approach is decidedly practical and reflective. It consists of opening up the kitchen of implementation through a case study: build a typology of the professional futures of the accredited parliamentary assistants at the European Parliament. The paper defends the idea that typologies are tools and stages in analysis. Putting these methods to the test in this way aims to highlight several issues, suggest avenues of analysis, and highlight the need to explore the data using a variety of tools. This text is an invitation to compare and combine methods, and to use them in a considered and non-mechanical way, taking into account their strengths but also their weaknesses, which are also instructive.

A pathway to refined stress and strain distributions in aerospace-grade Ti/Al bi-metal sheets: Synergizing theoretical insights and FEM simulations

This study introduces an innovative theoretical model critical for predicting stress and strain distributions in Ti/Al bi-metal sheet production and its subsequent deep drawing process. Grounded in extensive mechanical and geometric analysis, the model facilitates manufacturing process optimization and the production of high-quality components. Finite Element Method (FEM) simulations are integrated to examine the significant effects of die geometric parameters on metal flow dynamics and susceptibility to material stress. The model’s precision is enhanced by incorporating anisotropic material properties and cohesive zone models. A rigorous experimental framework validates the model, highlighting the practical utility of optimized parameters in Ti/Al bi-metal component fabrication. Additionally, uniaxial tensile tests using the Video Image Correlation-3D (VIC-3D) system provide detailed insights into material deformation, elucidating stress distribution and metal flow in composite layers. Thus, the research presents a refined methodology for the efficient production of Ti/Al bi-metal components, offering valuable knowledge transferable to various materials and processing scenarios. The findings of this work are expected to make a significant impact on material engineering and mechanical manufacturing.

Kinematic analysis of deflection-jointed manipulator based on geometric analysis

Kinematic analysis of deflection-jointed manipulator based on geometric analysis

Vertical confinement enhances surface exploration in bacterial twitching motility.

Bacteria are often found in environments where space is limited, and they attach themselves to surfaces. One common form of movement on these surfaces is bacterial twitching motility, which is powered by the extension and retraction of type IV pili. Although twitching motility in unrestricted conditions has been extensively studied, the effects of spatial confinement on this behaviour are not well understood. In this study, we explored the diffusive properties of individual twitching Pseudomonas aeruginosa cells in spatially confined conditions. We achieved this by placing the bacteria between layers of agarose and glass, and then tracking the long-term twitching motility of individual cells. Interestingly, we found that while confinement reduced the immediate speed of twitching, it paradoxically increased diffusion. Through a combination of mechanical and geometrical analysis, as well as numerical simulations, we showed that this increase in diffusion could be attributed to mechanical factors. The constraint imposed by the agarose altered the diffusion pattern of the bacteria from normal to superdiffusion. These findings provide valuable insights into the motile behaviour of bacteria in confined environments.

Three-dimensional geometric morphometric shape analysis of chest wall kinematics in different breathing conditions.

Breathing motion is based on the differential activity of the thoracic, diaphragmatic and abdominal muscles. Muscle contributions differ between rest and exercise conditions and depend on posture and other factors. Traditionally, these changes are investigated on volumetric data using optoelectronic plethysmography (OEP). OEP offers insight into size variations of different chest wall (CW) compartments but does not provide three-dimensional visualization methods of CW breathing kinematics. Here we explore the use of three-dimensional geometric morphometrics to analyse size and shape changes caused by spontaneous breathing motion during quiet (QB), and recovery breathing (REC, immediately after heavy exercise) in two different postures (SIT, sitting on cycle ergometer; STA, standing position). Our findings show that size and shape differ significantly between inspiration and expiration and that differences are greater in REC than in QB. However, this is achieved by stronger expiration in SIT but by greater expiratory and inspiratory movements in STA. Shape analysis suggests that these differences may be attributed to constrained mobility of the shoulder girdle and a minor thoracic spine extension during inspiration owing to position on the ergometer. Breathing motion in STA seems biomechanically less constrained. Geometric morphometrics analyses can provide additional insights into data obtained by OEP.

Body shape divergence of paradise thread fish (Polynemus paradiseus) collected from different coastal habitats of southern Bangladesh: A multivariate approach for population discrimination

The paradise thread fish (Polynemus paradiseus) is a commercially and ecologically important euryhaline fish that primarily lives in diversified coastal and estuarine habitats. A comprehensive understanding of the divergence in body shape and discrimination in population parameters related to habitats is crucial for fisheries management and conservation endeavours. To test whether significant morphological differences exist between P. paradiseus populations inhabiting different coastal environments, a total of 366 individuals (198 male and 168 female) were collected from five distant places over three zones- Cox's Bazar (Bakkhali River) and Chattogram (Karnaphuli River) in the southeast coastal regions, Noakhali (lower Meghna River) in the southcentral zone, and Khulna (Shibsa River) and Borguna (Bishkhali River) in the southwest zones adjacent to the Bay of Bengal, Bangladesh in November 2022. The truss networking and geometric morphometric analysis (GMA) indicated variations in body shape among P. paradiseus individuals induced by sexual dimorphism. Wireframe graphs demonstrated that female individuals had wider dorsal-abdominal parts than males. Using the truss networking dataset for five coastal habitats, multivariate analyses revealed two overlapping clusters: southwest (Borguna and Khulna) populations in one cluster, while central (Noakhali) and southeast (Chattogram and Cox's Bazar) populations form separate clusters. The GMA also illustrated that the Khulna-Borguna population was located near the opposite end of the Chattogram-Cox's Bazar population axis, and the Noakhali populations were somewhat in the middle, with a high degree of overlap. Wireframe graphs displayed a significant body shape variations among populations, mainly in the snout shape, the width of the dorsal-abdominal part, the tail shape, and the head shape. The Discriminant Function Analysis revealed that there were pronounced variations in body shape between two populations located in distant regions, while there were minimum variations between two populations located close to each other. This study underscores the effectiveness of landmark-based truss networking and geometric morphometrics in discerning morphological variations across different habitats. These variations likely hold adaptive significance and are critical for informed population management and conservation strategies in the population structure of euryhaline P. paradisus.

Geometric morphometric analysis of an ontogenetic cranial series of the Permian dicynodont Diictodon feliceps.

The Karoo Basin of South Africa is renowned for its abundance and diversity of therapsid fossils. Among the most ubiquitous and persistent of the Permian fauna is the small herbivorous dicynodont Diictodon feliceps. Intraspecific variation in Diictodon is historically confounding, and while ontogeny is frequently cited as a potential source of variation, observable developmental changes have never been calibrated. The present study revisits this issue, comparing three-dimensional landmark configurations of 82 Diictodon crania to investigate the association between shape, size and dimorphism. Beyond the statistically significant relationship between shape and allometry, our results determine the shape differences between juvenile and adult skulls of Diictodon, aligned with common craniofacial features documented in other tetrapod taxa. Functionally, these changes are attributed to development of the jaw musculature for feeding on larger, tougher plant matter during later ontogeny. Cranial morphological variation owing to sexual dimorphism is negligible, but distinct differences are noted in the allometric trajectories of each morphotype. A component of non-allometric variation cannot be accounted for, and we propose that this represents natural variation, rather than an artefact of taphonomic deformation.

Chronic paternal alcohol exposures induce dose-dependent changes in offspring craniofacial shape and symmetry.

Although dose-response analyses are a fundamental tool in developmental toxicology, few studies have examined the impacts of toxicant dose on the non-genetic paternal inheritance of offspring disease and dysgenesis. In this study, we used geometric morphometric analyses to examine the impacts of different levels of preconception paternal alcohol exposure on offspring craniofacial shape and symmetry in a mouse model. Procrustes ANOVA followed by canonical variant analysis of geometric facial relationships revealed that Low-, Medium-, and High-dose treatments each induced distinct changes in craniofacial shape and symmetry. Our analyses identified a dose threshold between 1.543 and 2.321g/kg/day. Below this threshold, preconception paternal alcohol exposure induced changes in facial shape, including a right shift in facial features. In contrast, above this threshold, paternal exposures caused shifts in both shape and center, disrupting facial symmetry. Consistent with previous clinical studies, changes in craniofacial shape predominantly mapped to regions in the lower portion of the face, including the mandible (lower jaw) and maxilla (upper jaw). Notably, high-dose exposures also impacted the positioning of the right eye. Our studies reveal that paternal alcohol use may be an unrecognized factor contributing to the incidence and severity of alcohol-related craniofacial defects, complicating diagnostics of fetal alcohol spectrum disorders.

Changes in the wing shape and size in fruit flies exposed to micro and nanoplastics

Geometric morphometrics analysis (GMA) is a well-known technique to identify minute changes in Drosophila wings. This study aimed to determine potential changes in Drosophila wings shape and size after exposure to polystyrene nanoplastics (NPs) (50 nm) and microplastics (MPs) (1 μm). Flies were exposed from eggs to pupal eclosion and analyzed using GMA. Results revealed a difference in shape and size between male and female wings, as expected, due to sexual dimorphism. Therefore, wings were analyzed by sex. Wings of MPs and NPs treated females were elongated compared to controls and had a constriction of the wing joint. Additionally, MPs treated female flies had the most dissimilar shape compared to controls. In male flies, NPs flies had smaller wings compared to MPs and control flies. Compared to control, NPs wings of males were shrunken at the joint and in the entire proximal region of the wing. However, male MPs wings had a narrower anal region and were slightly elongated. These results reveal that wing shape and size can change in a different way based on the sex of the flies and size of plastic particles that larvae interacted with. All the changes in the wings occurred only within the normally allowed wing variation and treatment with NPs/MPs did not cause development of the aberrant phenotypes. Results can pave the way for further understanding of how MPs and NPs can alter phenotypes of flies.

Lattice strain induced by trace Pt single atoms in nickel for accelerating industrial hydrogen evolution

Strategically designing the electrocatalytic system and cleverly inducing strain is an effective approach to balance the cost and activity of Pt-based electrocatalysts for industrial-scale hydrogen production. Herein, we present a unipolar pulsed electrodeposition (UPED) strategy to induce strain in the Ni lattice by introducing trace amounts of Pt single atoms (SAs) (0.22 wt%). The overpotential decreased by 183 mV at 10 mA cm−2 in 1.0 M KOH after introducing trace amounts of PtSAs. The industrial electrolyzer, assembled with PtSAsNi cathode and a commercial NiFeOx anode, requires a cell voltage of 1.90 V to attain 1 A cm−2 of current density and remains stable for 280 h, demonstrating significant potential for practical applications. Spherical aberration corrected scanning transmission electron microscopy (AC-STEM), X-ray absorption (XAS), and geometric phase analysis (GPA) indicate that the introduction of trace amounts of Pt SAs induces tensile strain in the Ni lattice, thereby altering the local electronic structure and coordination environment around cubic Ni for enhancing the water decomposition kinetics and fundamentally changing the reaction pathway. The doping-strain strategy showcases conformational relationships that could offer new ideas to construct efficient hydrogen evolution reaction (HER) electrocatalysts for industrial hydrogen production in the future.

Improved energy method and agglomeration influence of carbon nanotubes on polymer composites

In this paper, the geometric analysis of carbon nanotubes (CNTs) without external loading is carried out by energy method. Based on the theory of molecular mechanics, an improved mechanical model is proposed to predict the energy of armchair carbon nanotubes under stress-free conditions, and the diameter of CNTs is estimated according to the principle of minimum energy. The results show that the diameter obtained by the improved model is larger, but basically consistent with that obtained by conformal mapping. The inversion energy term is added to the modified model, and the inversion energy term related to atomic curvature is characterized by the conization angle. It can be seen from the error that the inversion energy of carbon nanotubes can not be neglected in the stress-free state, especially in the case of small diameter. The agglomeration of nanotubes is one of the important factors, which affects the effective elastic modulus of nanocomposites. Here, a new micro-mechanics model consisting of both agglomeration of CNTs and pure matrix is also presented to analyze its effect on the effective elastic modulus. It is noted from the results that the stiffness of nanocomposites is very sensitive to the CNTs agglomeration.

Round Heaven and Square Earth, the Unity of the Pagoda and Statues—A Study on the Geometric Proportions of the Architectural Space, Statues, and Murals in Ying Xian Fogong Si Shijia Ta 應縣佛宮寺釋迦塔 (Sakyamuni Pagoda of Fogong Temple in Ying County)

In Ying Xian Fogong Si Shijia Ta 應縣佛宮寺釋迦塔 (Sakyamuni Pagoda of Fogong Temple in Ying County), Shanxi, there are statues set on each floor, and 26 exist in total, with six murals painted on the first floor. The pagoda was designed as a vertically rising Buddhist temple, and the interior space of each floor was customized for the statues. Based on previous research and through surveying and mapping of the architecture and statuary (including the murals on the first floor) combined with geometric design analysis, this paper proposes the following: First, there exists a clear geometric proportion among the interior space and statues on each floor of the pagoda. Second, clear proportional relationships also exist among the statues on each floor, and each of the 26 statues has ‘classical’ proportion rules. Third, the height of the giant Buddha statue on the first floor is the module for not only the height of the statues on each floor but also the construction of the whole pagoda such that the height of the statue on the first floor is 1/6 of the total height of the pagoda (excluding the base). And the ratio of the pagoda’s total height to the first floor’s diameter, the ratio of the total height to the top-story height under the column capital, and all the other geometric proportions are closely related to the architectural modeling. And finally, in the construction of the pagoda, statues, and murals, the scale is deduced to be 1 chi 尺 (Chinese foot) = 29.5 cm. These values give clear scale logics not only to the construction but also to the details of the statues. Accordingly, the most frequently used proportions in the architectural space, statues, and murals of the Pagoda of Fogong Temple are 2, 3:2, 5:3 (or 8:5), and 9:5, which are imbued with cultural messages, like Zhou Bi Suan Jing 周髀算經 (The Mathematical classic of the Zhou shadow-gauging instrument), Ying Zao Fa Shi 營造法式 (Treatise on Architectural Methods or State Building Standards), the ancient Chinese world view—tian yuan di fang 天圜地方 (the dome-shaped heaven and the flat, square earth) reflected from “ yuan fang tu 圓方圖 (rounded-square map)” and “fang yuan tu 方圓圖 (squared-circle map)”, ancient Chinese ideas that ”san tian liang di er yi shu 參天兩地而倚數 (‘three’ is the number of the heaven and ‘two’ is the number of the earth, and all numbers are based on them)” and “jiu wu zhi zun 九五之尊 (nine and five are the numbers of the honorable central position)”, and most probably related to the “mandala” of Esoteric Buddhism and to the Western “Golden Ratio”, which all need further research in depth.

Refined GEDI Level-2A Database Construction: Focused on Gyeonggi Province, Republic of Korea

The Global Ecosystem Dynamics Investigation (GEDI), a full-waveform light detection and ranging system, translated the energy into a continuous waveform and recorded the signals chronologically for enabling geometric analysis of the vertical structure of vegetation. The National Aeronautics and Space Administration has used the land, vegetation, and ice sensor (LVIS) airborne laser altimeter system to measure terrain, tree heights, and vegetation carbon stocks in designated areas. The effectiveness of the collected LVIS data has been proven in mapping forest structures and biomass in tropical and temperate systems. Based on the successful achievements of LVIS, the GEDI aimed to establish a global range of forest data needed to analyze and predict the carbon cycle and climate change. The GEDI was launched aboard the SpaceX-16 in 2018 and successfully attached to the International Space Station (ISS) for a 2-year mission, but now extended until March 2023. Since being mounted on the ISS, GEDI measured over 10 billion cloud-free surface observations within the range of 51.6°N to 51.6°S. In this paper, GEDI mission is introduced, and the process of downloading, refining the GEDI level-2A product focused on Gyeonggi Province is outlined.

Synthesis, molecular structure, Hirshfeld surface analysis, NCI-RDG, spectral characterization analysis, nonlinear optical properties, and in silico molecular docking of (E)-3-(3-(2-methoxyphenyl)-4-methylthiazol-2(3H)-ylidene) benzo[4,5] imidazo [1,2-c] thiazole-1(3H)-thione

(E)-3-(3-(2-methoxyphenyl)-4-methylthiazol-2(3H)-ylidene) benzo[4,5] imidazo [1,2-c] thiazole-1(3H)-thione (EMBIT) was synthesized and studied thoroughly by means of X-ray diffraction and molecular modeling. In this study, geometrical analysis together with FT-IR, NMR, and UV-Vis characterizations were performed. Using density functional theory and the B3LYP/6–311G++(d,p) set, geometric parameters accurately represent the structure, showing agreement between experimental and theoretical results. Various solvents were included in the calculations of the UV–Vis spectra, frontier molecular orbitals (FMOs), and global chemical reactivity descriptors (GCRD) calculations, revealing their potential for better prediction of energy gap values. The energy gap and some chemical descriptors analysis of the title compound indicated that it would be suitable for nonlinear optical properties and biological activity. Non-covalent bond interaction studies were conducted on EMBIT to investigate the intermolecular interactions. A deeper understanding of the electronic structure and chemical bonding patterns of the structure was gained by LOL and ELF studies.The computed polarizabilities and hyperpolarizabilities indicated that the molecule has non-linear optical properties and assessed the influence of the energetic gap values and electron delocalization character on enhancing NLO proprieties. The predictions of EMBIT's biological activity suggested potential as a cure for glaucoma, and molecular docking revealed the various bonds involved against two potential critical glaucoma factors Rock1 and Rock2. Rock2 is found to have a superior binding affinity, as evidenced by its highest binding energy of -8.7 kcal/mol and a lower Ki inhibition constant of 0.97. The EMBIT ligand's effectiveness in inhibiting the Rock2 protein is highly likely, as suggested by this.

Beyond CREA: Evolutionary patterns of non-allometric shape variation and divergence in a highly allometric clade of murine rodents.

The shared functions of the skull are thought to result in common evolutionary patterns in mammalian cranial shape. Craniofacial evolutionary allometry (CREA) is a particularly prominent pattern where larger species display proportionally elongate facial skeletons and smaller braincases. It was recently proposed that CREA arises from biomechanical effects of cranial scaling when diets are similar. Thus, deviations from CREA should occur with changes in cranial biomechanics, for example due to dietary change. Here, we test this using 3D geometric morphometric analysis in a dataset of Australian murine crania, which are highly allometric. We contrast allometric and non-allometric variation in the cranium by comparing evolutionary mode, allometry, ordinations, as well as allometry, integration, and modularity in functional modules. We found evidence of stabilising selection in allometry-containing and size-free shape, and substantial non-allometric variation aligned with dietary specialisation in parallel with CREA. Integration among cranial modules was higher, and modularity lower, with size included, but integration between rostrum and cranial vault, which are involved in the CREA pattern, dropped dramatically after size removal. Our results thus support the hypothesis that CREA is a composite arising from selection on cranial function, with substantial non-allometric shape variation occurring alongside CREA where dietary specialisation impacts selection on gnawing function. This emphasises the need to research mammalian cranial evolution in the context of allometric and non-allometric selection on biomechanical function.