A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

Algorithms based on deep neural networks (DNNs) have attracted increasing attention from the scientific computing community. DNN based algorithms are easy to implement, natural for nonlinear problems, and have shown great potential to overcome the curse of dimensionality. In this work, we utilize the multi-scale DNN-based algorithm (MscaleDNN) proposed by Liu, Cai and Xu (2020) to solve multi-scale elliptic problems with possible nonlinearity, for example, the p-Laplacian problem. We improve the MscaleDNN algorithm by a smooth and localized activation function. Several numerical examples of multi-scale elliptic problems with separable or non-separable scales in low-dimensional and high-dimensional Euclidean spaces are used to demonstrate the effectiveness and accuracy of the MscaleDNN numerical scheme.     

Association between Increased Inducible Costimulator/Inducible Costimulator Ligand Expression with Bone Destruction in Apical Periodontitis

IntroductionThe aim was to assess the association of inducible costimulator (ICOS) and ICOS ligand with bone destruction in apical periodontitis (AP).MethodsSpecimens from patients presenting with AP were obtained during apicoectomy and subjected to histopathologic analysis and molecular assessment of ICOS/ICOS ligand. In addition, the experimental AP was induced by exposing the pulp of first mandibular molars of rats. Histologic and radiographic examinations were performed to validate the periapical lesions. The immunolocalization and messenger RNA expression of ICOS/ICOS ligand were evaluated by immunofluorescence staining and quantitative real-time polymerase chain reaction. The osteoclastic activities in periapical lesions, including the lesion size and the expression of tartrate-resistant acid phosphatase and the receptor activator of nuclear factor kappa B ligand, were recorded and followed by correlation analysis with ICOS/ICOS ligand expression.ResultsIn excisional specimens from AP patients, a significantly increased expression of ICOS/ICOS ligand was found compared with the healthy control. In the experimental AP samples, the expression of ICOS/ICOS ligand, tartrate-resistant acid phosphatase, and receptor activator of nuclear factor kappa B ligand was significantly elevated in inflamed periapical tissues (AP group) when compared with the healthy control. The number of ICOS⁺/ICOS ligand⁺ cells was highly correlated with the periapical lesion size (r = 0.892, P < .01 and r = 0.930, P < .01, respectively).ConclusionsThe increased expression of ICOS/ICOS ligand in periapical lesions was associated with the inflammatory infiltration and alveolar bone destruction of AP.     

Isolation and characterization of new human carrier peptides from two important vaccine immunogens

In the preparation of glycoconjugate vaccines in clinical practice, two highly immunogenic carrier proteins, CRM₁₉₇ and tetanus toxoid (TT), are predominantly conjugated with the capsular polysaccharides (CPSs) of bacterial pathogens. In addition, TT has long been used as an effective vaccine to prevent tetanus. While these carrier proteins play an important role in immunogenicity and vaccine design alike, their defined human major histocompatibility complex class II (MHCII) T cell epitopes are inadequately characterized. In this current work, we use mass spectrometry to identify the peptides from these carrier proteins that are naturally processed and presented by human B cells via MHCII pathway. The MHCII-presented peptides are screened for their T cell stimulation using primary CD4+ T cells from four healthy adult donors. These combined methods reveal a subset of eleven CD4+ T cell epitopes that proliferate and stimulate human T cells with diverse MHCII allelic repertoire. Six of these peptides stand out as potential immunodominant epitopes by responding in three or more donors. Additionally, we provide evidence of these natural epitopes eliciting more significant T cell responses in donors than previously published TT peptides selected from T cell epitope screening. This study serves toward understanding carrier protein immune responses and thus enables the use of these peptides in developing novel knowledge-based vaccines to combat persisting problems in glycoconjugate vaccine design.