Thus, reduced model equations are obtained that exactly describe the collective dynamics for each subpopulation in the oscillator network via few collective variables only. The resulting equations are next-generation models Rather than being heuristic, they exactly link microscopic and macroscopic descriptions and therefore accurately capture microscopic properties of the underlying system. At the same time, they are sufficiently simple to analyze without great computational effort. In the last decade, these reduction methods have become instrumental in understanding how network structure and interactions shape the collective dynamics and the emergence of synchrony. We review this progress based on concrete examples and outline possible limitations. Finally, we discuss how linking the reduced models with experimental data can guide the way towards the development of new treatment approaches, for example, for neurological disease.Nasal chondromesenchymal hamartoma (NCMH) is a rare, benign lesion of the sinonasal tract. It usually presents as a polypoid mass in infants and older children. Imaging studies and endoscopy are required to delineate the extent of the lesion and aid in its excision. This unusual lesion is composed of proliferating mesenchymal and cartilaginous elements. Recently, a genetic association between NCMH and DICER1 mutation has been established. It is important for pathologists to be familiar with this entity to avoid misdiagnosis since the lesion is benign and surgical excision is curative.Lymphoepithelial carcinoma of salivary glands (LECSG) are rare neoplasms, reported in endemic populations (southeastern Chinese) with a strong Epstein-Barr virus (EBV) association. A retrospective series comparing EBV status within an ethnically diverse population (endemic vs. non-endemic patients) has not been reported. Sixteen LECSG were equally distributed between males (n = 8) and females (n = 8) with a median age of 54 years (range 18 to 85 years) at initial diagnosis. Ten patients were white, 4 Asian, and 2 black. The patients typically presented with swelling or mass for an average of 11.6 months. Tumors affected only major salivary glands parotid (n = 13); submandibular (n = 3). Tumors were an average of 2.9 cm (range 1.5 to 5.8 cm). Nine of 16 (56%) patients had cervical lymph node metastases at presentation. No patients had nasopharyngeal or oropharyngeal tumors. Microscopically, the tumors were widely infiltrative, characterized by large polygonal to spindled cells arranged in a syncytial, lattice-age (Group IV) patients had a shorter mean survival than lower stage patients 3.1 versus 4.8 years, respectively. In conclusion, LECSG are uncommon primary neoplasms. Concurrent lymphoepithelial lesions may help suggest a primary tumor. The tumors, irrespective of race or ethnicity, may express EBER. There is an overall good survival, perhaps better for EBV-negative patients and for those with lower stage disease.As an effective alternative for dissolved nitrogen removal, biofilter closely associates its treatment performance to structural and/or operational conditions. In this study, a set of four different biofilters including MAVF (mature aerated vertical flow), NAVF (new aerated vertical flow), NVF (new non-aerated vertical flow), and BHF (baffled non-aerated horizontal flow) were employed to purify low C/N ratio (3.8) domestic wastewater. All the filters were packed with round ceramsite operated under varying hydraulic loading rates (HLRs) of 0.024-0.18 m/day. During the start-up, both the physicochemical and microbial characterizations were investigated. It was found that, carbon and nitrogen could achieve ideal removal in MAVF once added with further sedimentation, while phosphorus displayed an unsatisfactory sequestration in any of the four filters probably due to the high inflow load and/or lack of alternate anaerobic/aerobic conditions. Filter clustering based on percent removal and removal rate constant displayed a consistent pattern, which was similar to that based on taxa of phylum from 16S rRNA sequencing, or phylum/genus/species from shotgun metagenomic sequencing although there were obvious distinctions in taxa compositions among direct comparison. Meanwhile, gene function annotation revealed that filter clustering based on metabolic pathways was consistent with that based on purification performance. These consistencies might imply that the treatment performance was mainly determined by microbial degradation. find more The enrichment of specific functional microbes responsible for the degradation of certain pollutants, such as carbohydrates, matched well with the defined purification performance.Objectives To investigate the effect of calcium hydroxide mixed with lidocaine HCl on postoperative spontaneous pain. Materials and methods Sixty patients having irreversible pulpitis and symptomatic apical periodontitis with a preoperative spontaneous pain and percussion pain which was more than 50 on a visual analogue scale (100 mm VAS) were included in this study. After the preparation of the root canals, the patients were randomly distributed into two groups according to the calcium hydroxide vehicle, control group (mixed with saline) and calcium hydroxide mixed with lidocaine HCl (n = 30). Postoperative spontaneous pain scores were recorded by a VAS every day for a week. Data were analysed using one-way analysis of variance, chi-squared test and Mann-Whitney U tests (p = 0.05). Results The calcium hydroxide mixed with lidocaine HCl group resulted in significantly less pain compared with the calcium hydroxide mixed with saline group during days 1 to 4 (p 0.05). Conclusion Within the limitations of this study, it can be concluded that the calcium hydroxide mixed with lidocaine HCl can be beneficial in reducing postoperative pain in teeth with irreversible pulpitis and symptomatic apical periodontitis. Clinical relevance The calcium hydroxide mixed with lidocaine HCl can be beneficial in reducing postoperative pain in teeth with irreversible pulpitis and symptomatic apical periodontitis. Clinical registration number TCTR20181121003.