In this paper, the notion of locally algebraic intersection structure is introduced for algebraic L-domains. Essentially, every locally algebraic intersection structure is a family of sets, which forms an algebraic L-domain ordered by inclusion. It is shown that there is a locally algebraic intersection structure which is order-isomorphic to a given algebraic L-domain. This result extends the classic Stone’s representation theorem for Boolean algebras to the case of algebraic L-domains. In addition, it can be seen that many well-known representations of algebraic L-domains, such as logical algebras, information systems, closure spaces, and formal concept analysis, can be analyzed in the framework of locally algebraic intersection structures. Then, a set-theoretic uniformity across different representations of algebraic L-domains is established.

Integrins are transmembrane heterodimeric (αβ) receptors that transduce mechanical signals between the extracellular milieu and the cell in a bidirectional manner. Extensive research has shown that the integrin beta (β) family is widely expressed in the brain and that they control various aspects of brain development and function. Schizophrenia is a relatively common neurological disorder of unknown etiology and has been found to be closely related to neurodevelopment and neurochemicals in neuropathological studies of schizophrenia. Here, we review literature from recent years that shows that schizophrenia involves multiple signaling pathways related to neuronal migration, axon guidance, cell adhesion, and actin cytoskeleton dynamics, and that dysregulation of these processes affects the normal function of neurons and synapses. In fact, alterations in integrin β structure, expression and signaling for neural circuits, cortex, and synapses are likely to be associated with schizophrenia. We explored several aspects of the possible association between integrin β and schizophrenia in an attempt to demonstrate the role of integrin β in schizophrenia, which may help to provide new insights into the study of the pathogenesis and treatment of schizophrenia.

While the detrimental effect of interparental conflict on adolescent depression is well-established, the underlying mechanisms linking the two continue to be inadequately understood. This study investigated the mediating role of family functioning and the moderating role of cultural beliefs about adversity in the association between interparental conflict and adolescent depression. The samples included 651 Chinese adolescents (mean age at Time 1 = 13.27 years; 56.5% girls) from a two-wave longitudinal study with data spanning 1 year. The findings from path modeling analyses provided evidence for the mediating role of family functioning; these findings indicated that interparental conflict can damage family functioning, which in turn exacerbates the risk of adolescent depression. The moderating role of cultural beliefs about adversity was also demonstrated by interactions between interparental conflict and cultural beliefs about adversity, as well as, family functioning and cultural beliefs about adversity. The results indicated a buffering role of cultural beliefs about adversity on the deleterious effect of interparental conflict on adolescent depression. They also suggested that lower levels of family functioning was associated with increased depression among adolescents were lower in cultural beliefs about adversity.

This research aims to investigate the salience of mothers’ emotional expressivity and its links with adolescents’ emotional wellbeing and expressivity in an urban society endorsing more individualism and a rural society ascribing to more collectivism. By comparing Chinese urban (N = 283, Mage = 14.13) and rural (N = 247, Mage = 14.09) adolescents, this research found that urban mothers’ expression of positive-dominant and positive-submissive emotions (PD and PS) were more common while expression of negative-dominant (ND) emotions was less common than rural mothers’. PD and PS had significant links with urban and rural adolescents’ increased emotional expressivity and self-esteem, however, only significantly related to urban adolescents’ decreased depression but not with rural adolescents’. ND had significant links with both urban and rural adolescents’ expression of negative emotions, however, only significantly correlated with urban adolescents’ less level of self-esteem and rural adolescents’ more expression of positive emotions. No significant difference was found in the salience of urban and rural mothers’ expression of negative-submissive (NS) emotions, which positively related to both urban and rural adolescents’ depression and emotional expressivity. Moreover, we found that adolescents’ emotional wellbeing (i.e., self-esteem and depression) mediated the relationship between mothers’ emotional expressivity and adolescents’ expressivity in both societies. Overall, the study findings document that the salience of mothers’ emotional expressivity and its relations with adolescents’ emotional adjustment differ between urban and rural societies.

Recently, layered double hydroxides (LDHs) have attracted intensive research interest as the next-generation supercapacitor electrodes due to their unique two-dimensional (2D) hydrotalcite-like structure. However, the inevitable agglomeration significantly decreases the accessible surface areas and blocks the pseudocapacitive sites, thus severely hinders their electrochemical applications. Herein, we develop a facile one-step growth approach to fabricate porous agglomerate of NiCo-LDH nanosheets and reduced graphene oxide (rGO) nanoflakes. By adjusting feeding molar ratios, the obtained NiCo-LDH/rGO electrode delivers a high specific capacity of 879.5 C/g at a current density of 0.5 A/g and still remains 485 C/g at 20 A/g. Furthermore, the fabricated asymmetric supercapacitor (ASC) has demonstrated a superior energy density of 48.7 W h/kg at a power density of 401 W/kg. After 2000 cycles, the assembled ASC exhibits an improved capacity retention of 81% within a potential window of 1.6 V at 2 A/g.

A nanoparticle-based drug delivery system is first established by mesoporous silica encapsulating amino acid–intercalated layered double hydroxide (LDH) to construct nanocomposites AA-LDH@MS. The amino acids including phenylalanine (Phe) and histidine (His) with aromatic groups are intercalated into LDH as the cores Phe-LDH and His-LDH. These nanocomposites AA-LDH@MS display multispaces of the interlayer spaces of LDH and porous channels of mesoporous silica to load drugs. Moreover, amino acid molecules provide the interaction sites to improve effectively loading amounts of drugs. 5-Fluorouracil (5-FU) is used as the cargo molecules to observe the delivery in vitro. The results indicate that the maximum loading amounts of drugs are up to 392 mg/g at 60 °C for 12 h in the nanocomposite Phe-LDH@MS. All the nanocomposites exhibit the sustained release of 5-FU at pH 4 and pH 7.4. The Korsmeyer–Peppas model is used to fit the kinetic plot of the drug release in vitro, which concludes that 5-FU release from AA-LDH@MS belongs to Fickian diffusion.