Anisotropic Laplace-Beltrami Operators for Shape Analysis

International audienceThis paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While keeping useful properties of the standard Laplace-Beltrami operator, it introduces variability in the directions of principal curvature, giving rise to a more intuitive and semantically meaningful diffusion process. Although the benefits of anisotropic diffusion have already been noted in the area of mesh processing (e.g. surface regularization), focusing on the Laplacian itself, rather than on the diffusion process it induces, opens the possibility to effectively replace the omnipresent Laplace-Beltrami operator in many shape analysis methods. After providing a mathematical formulation and analysis of this new operator, we derive a practical implementation on discrete meshes. Further, we demonstrate the effectiveness of our new operator when employed in conjunction with different methods for shape segmentation and matching

Brief for Plaintiff-Appellee, Carroll v. Trump, No. 20-3977 (2nd Cir. Apr. 16, 2021)

Introduction In June 2019, E. Jean Carroll revealed that former President Donald J. Trump had sexually assaulted her decades earlier. Trump denied it, saying he did not know who Carroll was and had never met her. But he did not stop there. He launched a series of vicious, personal attacks. He implied that she was too ugly to rape; that she had falsely accused other men of sexual assault; and that she had invented her story for money, or to sell books, or to advance a political plot. None of this was true. Trump knew that he had assaulted Carroll. He knew who she was. And he knew what he was doing when he went on a defamation rampage designed to crush her— to punish and retaliate against her—for daring to reveal his decades-old crime. Faced with this staggering onslaught, Carroll sought relief in court and sued Trump for defamation. Her case proceeded in New York state court for ten months. Trump did everything he could to stall, but his efforts ultimately failed. Just as the parties were about to engage in merits discovery, the White House prevailed upon the Department of Justice (DOJ) to intercede. Following a certification under the Westfall Act, 28 U.S.C. § 2679(d), DOJ lawyers removed the case to federal court and sought to substitute the United States as the defendant. They took the position that Trump was just doing his job—i.e., that he was acting within the scope of his employment—when he repeatedly slandered a private citizen who was no longer willing to hide the fact that he had raped her long before taking office. On two separate grounds, Judge Kaplan denied DOJ’s motion to substitute. He first held that the statute invoked by DOJ in support of substitution—the Federal Tort Claims Act (FTCA), 28 U.S.C. §§ 1346, 2671, as amended by the Westfall Act—does not apply to the President. That conclusion is compelled by the FTCA’s text and structure, as well as a host of constitutional, legislative, and judicial authorities, all of which confirm that the FTCA does not apply to the President. On appeal, DOJ (joined by Trump) seeks to show otherwise, but their arguments make a mess of the statute and offend settled separation-of-powers principles. In the alternative, Judge Kaplan concluded Trump was not acting within the scope of his employment when he defamed Carroll. This commonsense conclusion follows directly from the evidence before the Court and from longstanding principles of respondeat superior liability. On appeal, DOJ and Trump offer no basis to disturb that finding. Indeed, there is almost nothing in their briefs that discusses the facts at all. Instead, they urge the Court to adopt a new rule that would create categorical immunity for any federal official who defames anyone while speaking to the press or responding to perceived critics. That rule is both wrong and dangerous, and this Court should reject Appellants’ effort to avoid answering for Trump’s conduct. “Public office does not carry with it a license to defame at will, for even the highest officers exist to serve the public, not to denigrate its members.” Clark v. McGee, 49 N.Y.2d 613, 618-19 (1980). If accepted, Appellants’ extreme position would distort precedent, dishonor the Office of the Presidency, and give succor to the view that our most powerful political leaders stand entirely above the law. This Court should therefore affirm the denial of DOJ’s motion to substitute. Statement of the issues: 1. Is the President an “employee of the government” as that term is defined in the Federal Tort Claims Act (FTCA), 28 U.S.C. § 2671? 2. Assuming the President is an “employee of the government” under the FTCA, did Donald J. Trump act within the scope of his employment when he subjected E. Jean Carroll to willful, outrageous defamatory attacks in retaliation for revealing that he had sexually assaulted her decades before he was elected President

Genomic complexity of the variable region-containing chitin-binding proteins in amphioxus

<p>Abstract</p> <p>Background</p> <p>The variable region-containing chitin-binding proteins (VCBPs) are found in protochordates and consist of two tandem immunoglobulin variable (V)-type domains and a chitin-binding domain. We previously have shown that these polymorphic genes, which primarily are expressed in the gut, exhibit characteristics of immune genes. In this report, we describe VCBP genomic organization and characterize adjacent and intervening genetic features which may influence both their polymorphism and complex transcriptional repertoire.</p> <p>Results</p> <p>VCBP genes 1, 2, 4, and 5 are encoded in a single contiguous gene-rich chromosomal region and VCBP3 is encoded in a separate locus. The VCBPs exhibit extensive haplotype variation, including copy number variation (CNV), indel polymorphism and a markedly elevated variation in repeat type and density. In at least one haplotype, inverted repeats occur more frequently than elsewhere in the genome. Multi-animal cDNA screening, as well as transcriptional profilingusing a novel transfection system, suggests that haplotype-specific transcriptional variants may contribute to VCBP genetic diversity.</p> <p>Conclusion</p> <p>The availability of the <it>Branchiostoma floridae </it>genome (Joint Genome Institute, Brafl1), along with BAC and PAC screening and sequencing described here, reveal that the relatively limited number of VCBP genes present in the amphioxus genome exhibit exceptionally high haplotype variation. These VCBP haplotypes contribute a diverse pool of allelic variants, which includes gene copy number variation, pseudogenes, and other polymorphisms, while contributing secondary effects on gene transcription as well.</p

A Soluble Immune Effector Binds Both Fungi and Bacteria via Separate Functional Domains

The gut microbiome of animals consists of diverse microorganisms that include both prokaryotes and eukaryotes. Complex interactions occur among these inhabitants, as well as with the immune system of the host, and profoundly influence the overall health of both the host and its microbial symbionts. Despite the enormous importance for the host to regulate its gut microbiome, the extent to which animals generate immune-related molecules with the capacity to directly influence polymicrobial interactions remains unclear. The urochordate, Ciona robusta, is a model organism that has been adapted to experimental studies of host/microbiome interactions. Ciona variable-region containing chitin-binding proteins (VCBPs) are innate immune effectors, composed of immunoglobulin (Ig) variable regions and a chitin-binding domain (CBD) and are expressed in high abundance in the gut. It was previously shown that VCBP-C binds bacteria and influences both phagocytosis by granular amoebocytes and biofilm formation via its Ig domains. We show here that the CBD of VCBP-C independently recognizes chitin molecules present in the cell walls, sporangia (spore-forming bodies), and spores of a diverse set of filamentous fungi isolated from the gut of Ciona. To our knowledge, this is the first description of a secreted Ig-containing immune molecule with the capacity to directly promote transkingdom interactions through simultaneous binding by independent structural domains and could have broad implications in modulating the establishment, succession, and homeostasis of gut microbiomes

Photo‐biocatalytic Cascades:Combining Chemical and Enzymatic Transformations Fueled by Light

In the field of green chemistry, light – an attractive natural agent – has received particular attention for driving biocatalytic reactions. Moreover, the implementation of light to drive (chemo)enzymatic cascade reactions opens up a golden window of opportunities. However, there are limitations to many current examples, mostly associated with incompatibility between the enzyme and the photocatalyst. Additionally, the formation of reactive radicals upon illumination and the loss of catalytic activities in the presence of required additives are common observations. As outlined in this review, the main question is how to overcome current challenges to the exploitation of light to drive (chemo)enzymatic transformations. First, we highlight general concepts in photo-biocatalysis, then give various examples of photo-chemoenzymatic (PCE) cascades, further summarize current synthetic examples of PCE cascades and discuss strategies to address the limitations

Haptoglobin genotype is a determinant of survival and cardiac remodeling after myocardial infarction in diabetic mice

<p>Abstract</p> <p>Background</p> <p>We have recently demonstrated in man that a functional allelic polymorphism in the Haptoglobin (Hp) gene plays a major role in determining survival and congestive heart failure after myocardial infarction (MI). We sought to recapitulate the effect of Hp type on outcomes and cardiac remodeling after MI in transgenic mice.</p> <p>Methods</p> <p>The Hp 2 allele exists only in man. Wild type C57Bl/6 mice carry the Hp 1 allele with high homology to the human Hp 1 allele. We genetically engineered a murine Hp 2 allele and targeted its insertion by homologous recombination to the murine Hp locus to create Hp 2 mice. Diabetes Mellitus (DM) was induced with streptozotocin. MI was produced by occlusion of the left anterior descending artery in DM C57Bl/6 mice carrying the Hp 1 or Hp 2 allele. MI size was determined with TTC staining. Left ventricular (LV) function and dimensions were assessed by 2-dimensional echocardiography.</p> <p>Results</p> <p>In the absence of DM, Hp 1-1 and Hp 2-2 mice had similar LV dimensions and LV function. MI size was similar in DM Hp 1-1 and 2-2 mice 24 hours after MI (50.2 ± 2.1%and 46.9 ± 5.5%, respectively, p = 0.6). However, DM Hp 1-1 mice had a significantly lower mortality rate than DM Hp 2-2 mice 30 days after MI (HR 0.41, 95% CI (0.19–0.95), p = 0.037 by log rank). LV chamber dimensions were significantly increased in DM Hp 2-2 mice compared to DM Hp 1-1 mice 30 days after MI (0.196 ± 0.01 cm²vs. 0.163 ± 0.01 cm², respectively; p = 0.029).</p> <p>Conclusion</p> <p>In DM mice the Hp 2-2 genotype is associated with increased mortality and more severe cardiac remodeling 30 days after MI.</p

A Composite Resilience Index for Road Transport Networks

This paper is concerned with the development of a composite index for the resilience of road transport networks under disruptive events. The index employs three resilience characteristics, namely redundancy, vulnerability and mobility. Two different approaches, i.e. equal weighting and principal component analysis, are adopted to conduct the aggregation. In addition, the impact of the availability of real-time travel information for travellers on the three resilience characteristics and the composite resilience index is described. The application of the index on a synthetic road transport network of Delft city (Netherlands) shows that it responds well to traffic load changes and supply variations. The composite resilience index could be of use in various ways including supporting decision makers in understanding the dynamic nature of resilience under different disruptive events, highlighting weaknesses in the network and in assisting future planning to mitigate the impacts of disruptive events

Estimation of interdomain flexibility of N-terminus of factor H using residual dipolar couplings

Characterization of segmental flexibility is needed to understand the biological mechanisms of the very large category of functionally diverse proteins, exemplified by the regulators of complement activation, that consist of numerous compact modules or domains linked by short, potentially flexible, sequences of amino acid residues. The use of NMR-derived residual dipolar couplings (RDCs), in magnetically aligned media, to evaluate interdomain motion is established but only for two-domain proteins. We focused on the three N-terminal domains (called CCPs or SCRs) of the important complement regulator, human factor H (i.e. FH1-3). These domains cooperate to facilitate cleavage of the key complement activation-specific protein fragment, C3b, forming iC3b that no longer participates in the complement cascade. We refined a three-dimensional solution structure of recombinant FH1-3 based on nuclear Overhauser effects and RDCs. We then employed a rudimentary series of RDC datasets, collected in media containing magnetically aligned bicelles (disk-like particles formed from phospholipids) under three different conditions, to estimate interdomain motions. This circumvents a requirement of previous approaches for technically difficult collection of five independent RDC datasets. More than 80% of conformers of this predominantly extended three-domain molecule exhibit flexions of < 40 °. Such segmental flexibility (together with the local dynamics of the hypervariable loop within domain 3), could facilitate recognition of C3b via initial anchoring and eventual reorganization of modules to the conformation captured in the previously solved crystal structure of a C3b:FH1-4 complex

BMQ

BMQ: Boston Medical Quarterly was published from 1950-1966 by the Boston University School of Medicine and the Massachusetts Memorial Hospitals

Public transport equity in Shenyang: Using structural equation modelling

In China, with the rapid development of urbanisation, the contradiction between supply and demand has become increasingly severe, particularly in large and medium-sized cities. Improving public transport equity can help to reduce the social exclusion of lower-income and socially vulnerable groups in relation to the urban transport system, and guarantee that public transport systems are given priority in terms of development. Using the concept of transport-related social equity, this study aims to explore the effects of public transport equity in relation to the quality of public transport, public participation, and public transport-related policy using Shenyang as a case study. Data are analysed using Structural Equation Model (SEM). Our findings show that the three latent variables of accessibility, affordability, and social impacts can be seen as representing the main characteristics of public transport equity; while improvements in public transport quality, public participation, and public transport-related polices play a significant role in reducing public transport inequity. Moreover, the findings indicate that public participation has direct, significant, positive influences on public transport quality and public transport-related policies. In terms of policy implications, we suggest that policies designed to improve public transport service quality, extend public transport fare concessions, and promote public participation in the public transport policy decision-making process should be given priority in the next round of urban comprehensive planning in order to reduce public transport-related social inequity in Shenyang and China more generally