Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space

We study the existence of regular solutions of the incompressible stationary Navier-Stokes equations in $n$-dimensional Euclidean space with a given bounded external force of compact support. In dimensions $n\le 5$, the existence of such solutions was known. In this paper, we extend it to dimensions $n\le 15$.Comment: Exposition improved. To appear in Comm. Math. Phy

Étude structurale de deux complexes macromoléculaires biologiques : FANCD2/FANCI et la Phosphorylase Kinase par cryo microscopie électronique

During my thesis work, I have investigated the structure of two protein complexes, the FANCD2/FANCI complex and the Phosphorylase Kinase complex (PhK). Both complexes were studied using cryo electron microscopy combined with image analysis. The Fanconi Anemia (FA) pathway has been implied to play a significant role in DNA interstrand crosslink repair and may be the coordinator between different DNA damage repair pathways. Within the FA pathway, the FANCD2 and FANCI proteins are key players. In my thesis work, I have calculated the structure of the human FANCD2/FANCI complex. It possesses an inner cavity, large enough to accommodate a double stranded DNA helix. We also discovered a protruding tower domain, which our collaborator (M. Cohn, Oxford) has shown to be critical for the recruitment of the complex to DNA. PhK is one of the most complex kinases. It is composed of four subunits (αβγδ)4. PhK regulates glycogenolysis, it integrates various signals to catalyze the conversion of glycogen phosphorylase (GP) b to GP a (active), and the subsequent breakdown of glycogen. PhK is a potential target for glycemic control in diseases such as diabetes. Using state of the art electron microscope with a direct electron detection camera, after multiple image processing steps and correction of beams induced motion of films, I obtained a structure of the complexe at 7Å (FSC gold standard).Au cours de mon travail de thèse, j’ai étudié la structure des deux complexes de protéines, le complexe FANCD2/FANCI et la Phosphorylase kinase (PhK). Les deux complexes ont été étudiés en utilisant la cryo-microscopie électronique combinée à l’analyse d'image. La voie anémie de Fanconi (FA) a été reconnue comme jouant un rôle important dans la réparation de liaisons inter-brin de l'ADN. Dans cette voie, les protéines FANCD2 et FANCI sont des acteurs clés. Dans mon travail de thèse, j’ai calculé la structurale du complexe FANCD2/FANCI humaine. La structure montre une cavité intérieure, assez grande pour accueillir une hélice d'ADN double brin. Nous avons aussi mis en évidence un domaine en forme de tour. Notre collaborateur (M. Cohn, Oxford) a montré que celui-ci est essentiel pour le recrutement du complexe sur l'ADN. La PhK est l'une des kinases les plus complexes. Elle est composée de quatre sous-unités (αβγδ)4. PhK régule le métabolisme du glycogène, intègre divers signaux pour catalyser la conversion du glycogène phosphorylase b (GP) vers la GP a (actif), et la dégradation ultérieure de glycogène. En utilisant un microscope performant et une caméra de détection d'électrons directe puis après plusieurs étapes de traitement d’image, de correction de mouvement de films induits par les faisceaux d'électrons, j’ai obtenu une structure du complexe en 7Å (FSC gold standard)

Performance of EdDSA and BLS Signatures in Committee-Based Consensus

We present the first performance comparison of EdDSA and BLS signatures in committee-based consensus protocols through large-scale geo-distributed benchmarks. Contrary to popular beliefs, we find that small deployments (less than 40 validators) can benefit from the small storage footprint of BLS multi-signatures while larger deployments should favor EdDSA to improve performance. As an independent contribution, we present a novel way for committee-based consensus protocols to verify BLS multi-signed certificates by manipulating the aggregated public key using pre-computed values

Can I See Beyond What You See? Blending Machine Learning and Econometrics to Discover Household TV Viewing Preferences

This article discusses the emergence of a computational social science analytics fusion as a mainstream scientific approach involving machine-based methods and explanatory empiricism as a basis for the discovery of new policy-related insights for business, consumer and social settings. It reflects the interdisciplinary background of the new approaches that the Hawaii International Conference on Systems Science has embraced over the years, and especially some of the recent development and shifts in the scientific study of technology-related phenomena. It also has evoked new forms of research inquiry, blended approaches to research methodology, and more pointed interest in the production of research results that have direct application in various industry contexts. We review background knowledge to showcase the methods shifts, and demonstrate the new forms of research, by showcasing contemporary applications that will be interesting to the audience on the occasion of the HICSS 50th anniversary

HARNESSING ONLINE COMMUNITY AND SOCIAL MEDIA: ORDINARY USERS AND INFLUENTIAL USERS

Ph.DDOCTOR OF PHILOSOPH

Comprehensive characterization of endoplasmic reticulum stress in bladder cancer revealing the association with tumor immune microenvironment and prognosis

Background: This study constructs a molecular subtype and prognostic model of bladder cancer (BLCA) through endoplasmic reticulum stress (ERS) related genes, thus helping to clinically guide accurate treatment and prognostic assessment.Methods: The Bladder Cancer (BLCA) gene expression data was downloaded from The Cancer Genome Atlas (TCGA) and Gene Expression Omnibus (GEO) database. We clustered by ERS-related genes which obtained through GeneCards database, results in the establishment of a new molecular typing of bladder cancer. Further, we explored the characteristics of each typology in terms of immune microenvironment, mutations, and drug screening. By analyzing the ERS-related genes with univariate Cox, LASSO and multivariate Cox analyses, we also developed the four-gene signature, while validating the prognostic effect of the model in GSE32894 and GSE13507 cohorts. Finally, we evaluated the prognostic value of the clinical data in the high and low ERS score groups and constructed a prognostic score line graph by Nomogram.Results: We constructed four molecular subtypes (C1- C4) of bladder cancer, in which patients with C2 had a poor prognosis and those with C3 had a better prognosis. The C2 had a high degree of TP53 mutation, significant immune cell infiltration and high immune score. In contrast, C3 had a high degree of FGFR3 mutation, insignificant immune cell infiltration, and reduced immune checkpoint expression. After that, we built ERS-related risk signature to calculate ERS score, including ATP2A3, STIM2, VWF and P4HB. In the GSE32894 and GSE13507, the signature also had good predictive value for prognosis. In addition, ERS scores were shown to correlate well with various clinical features. Finally, we correlated the ERS clusters and ERS score. Patients with high ERS score were more likely to have the C2 phenotype, while patients with low ERS score were C3.Conclusion: In summary, we identified four novel molecular subtypes of BLCA by ERS-related genes which could provide some new insights into precision medicine. Prognostic models constructed from ERS-related genes can be used to predict clinical outcomes. Our study contributes to the study of personalized treatment and mechanisms of BLCA

The categorizations of vasculogenic mimicry in clear cell renal cell carcinoma unveil inherent connections with clinical and immune features

Background: Clear cell renal cell carcinoma (ccRCC) stands as the prevailing variant kidney cancer in humans. Unfortunately, patients with disseminated RCC at diagnosis often have a diminished prognosis. Rapid tumor growth necessitates efficient blood supply for oxygen and nutrients, involving the circulation of blood from vessels to tumor tissues, facilitating tumor cell entry into the extracellular matrix. Vasculogenic mimicry (VM) significantly contributes to tumor growth and metastasis. Within this investigation, we identified vasculogenic mimicry-related genes (VMRGs) by analyzing data from 607 cases of kidney renal clear cell carcinoma (KIRC) in The Cancer Genome Atlas (TCGA) and the Gene Expression Omnibus (GEO) database (https://www.ncbi.nlm.nih.gov/geo/). These findings offer insights into ccRCC progression and metastasis.Method: We identified VMRGs-related subtypes using consistent clustering methods. The signature of the VMRGs was created using univariate Cox regression and LASSO Cox regression analyses. To evaluate differences in immune cell infiltration, we employed ssGSEA. Afterwards, we created an innovative risk assessment model, known as the VM index, along with a nomogram to forecast the prognosis of ccRCC. Additionally, we verified the expression of an important gene related to VM, peroxiredoxin 2 (PRDX2), in tissue samples. Furthermore, we assessed the sensitivity to drugs in various groups by utilizing the pRRophetic R package.Results: Significant predictors of survival rates in both high- and low-risk groups of KIRC patients were identified as VMRGs. The independent prognostic factors for RCC were confirmed by both univariate and multivariate Cox regression analyses, validating VMRG risk signatures. Differences were observed in drug sensitivity, immune checkpoint expression, and responses to immune therapy between patients classified into high- and low-VMRG-risk groups. Our nomograms consistently demonstrated precise predictive capabilities. Finally, we experimentally verified PRDX2 expression levels and their impact on prognosis.Conclusion: The signature predicts patient prognosis and therapy response, laying the groundwork for future clinical strategies in treating ccRCC patients