A BICUBIC B-SPLINE FINITE ELEMENT METHOD FOR FOURTH-ORDER SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS

A bicubic B-spline finite element method is proposed to solve optimal control problems governed by fourth-order semilinear parabolic partial differential equations.Its key feature is the selection of bicubic B-splines as trial functions to approximate the state and costate variables in two space dimensions.A Crank-Nicolson difference scheme is constructed for time discretization.The resulting numerical solutions belong to C2in space,and the order of the coefficient matrix is low.Moreover,the Bogner-Fox-Schmit element is considered for comparison.Two numerical experiments demonstrate the feasibility and effectiveness of the proposed method.

Spectral Clustering with Eigenvalue Similarity Metric Method for POL-SAR Image Segmentation of Land Cover

A simple and fast approach based on eigenvalue similarity metric for Polarimetric SAR image segmentation of Land Cover is proposed in this paper. The approach uses eigenvalues of the coherency matrix as to construct similarity metric of clustering algorithm to segment SAR image. The Mahalanobis distance is used to metric pairwise similarity between pixels to avoid the manual scale parameter tuning in previous spectral clustering method. Furthermore, the spatial coherence constraints and spectral clustering ensemble are employed to stabilize and improve the segmentation performance. All experiments are carried out on three sets of Polarimetric SAR data. The experimental results show that the proposed method is superior to other comparison methods.

Amide naphthotubes:Biomimetic macrocycles for selective molecular recognition

Selective molecular recognition in water is routine for bioreceptors,but remains challenging for synthetic hosts.This is principally because noncovalent interactions are usually less efficient in aqueous environments.By mimicking the cavity feature of bioreceptors,Prof.Wei Jiang proposed and clarified the concept of“endo-functionalized cavity”.Through situating polar binding sites into a deep hydrophobic cavity,we designed and synthesized several macrocyclic hosts,among which amide naphthotubes are the most representative.The hosts can selectively recognize various polar molecules including organic micropollutants,drug molecules,and chiral molecules in water by employing the hydrophobic effect and shielded hydrogen bonding.In addition,these biomimetic hosts have been applied in spectroscopic analysis,adsorptive separation and self-assembly.In this review,we provide an overview of recent advances on amide naphthotubes with special emphasis on the efforts of Jiang's group.We are convinced that these biomimetic macrocycles will make further contributions to supramolecular chemistry and beyond.

Ultra-highly selective recognition of nucleosides over nucleotides by rational modification of tetralactam macrocycle and its application in enzyme assay

Artificial macrocycle with high binding selectivity in water is often challenging but urgently needed in various research and application areas.Herein,we report a new water-soluble biomimetic tetralactam macrocycle and realize the ultra-high selectivity to nucleosides over corresponding monophosphate nucleotides by rational modification.The introduction of charged groups at the periphery of endofunctionalized cavity makes the selectivity(guanosine to guanosine 5-monophosphate)increase remarkably from 100 to 1119.Based on the ultra-high selectivity of biomimetic tetralactam macrocycle,the sensitive CD73 enzyme activity assay was then achieved through product-selective fluorescence indicator displacement assay.Furthermore,the capability of the proposed method for inhibitor screening was successfully displayed.

Evaluation of Latent Tuberculosis Infection Using the ESAT6-CFP10 Skin Test Among International Freshmen With Diverse Skin Tones at a University—Nanjing City,Jiangsu Province,China,September 2023

Introduction:Newer skin tests,including the ESAT6-CFP10(EC)skin test,were recommended for diagnosing Mycobacterium tuberculosis(M.tb)infection.However,no data exist assessing the diagnostic performance of the EC skin test among foreign students with different skin tones.Methods:A cohort study at Nanjing Medical University screened incoming foreign freshmen.The EC skin test was used to assess for M.tb infection,and results were read at 24,48,72,and 96-hours postadministration.Results:Among 96 participants,M.tb infection rates at 24,48,72,and 96-hours post-injection were 3.13%,7.29%,13.54%,and 9.38%,respectively.While infection rates were lower among individuals with darker skin tones,the difference was not statistically significant(P=0.186),and variations were consistent across different measurement times.Trajectory analysis revealed 5.3%in the continuousincreasing group,86.5%in the low-stable group,and 5.2%in the elevated-decreasing group.Notably,participants in the elevated-decreasing group had lighter skin tones,with trajectory patterns consistent across different skin colors.Discussion:The EC skin test is safe,and redness diameter is a more reliable indicator than induration.Results should be collected within 48 to 72 hours,with verification at 72 hours crucial if initial results are negative.Importantly,skin color does not affect EC skin test outcomes.