Constructing polynomial libraries for reservoir computing in nonlinear dynamical system forecasting.

Reservoir computing is an effective model for learning and predicting nonlinear and chaotic dynamical systems; however, there remains a challenge in achieving a more dependable evolution for such systems. Based on the foundation of Koopman operator theory, considering the effectiveness of the sparse identification of nonlinear dynamics algorithm to construct candidate nonlinear libraries in the application of nonlinear data, an alternative reservoir computing method is proposed, which creates the linear Hilbert space of the nonlinear system by including nonlinear terms in the optimization process of reservoir computing, allowing for the application of linear optimization. We introduce an implementation that incorporates a polynomial transformation of arbitrary order when fitting the readout matrix. Constructing polynomial libraries with reservoir-state vectors as elements enhances the nonlinear representation of reservoir states and more easily captures the complexity of nonlinear systems. The Lorenz-63 system, the Lorenz-96 system, and the Kuramoto-Sivashinsky equation are used to validate the effectiveness of constructing polynomial libraries for reservoir states in the field of state-evolution prediction of nonlinear and chaotic dynamical systems. This study not only promotes the theoretical study of reservoir computing, but also provides a theoretical and practical method for the prediction of nonlinear and chaotic dynamical system evolution.

Design, Synthesis and Structure-Activity Relationships of Novel Chalcone-1,2,3-triazole-azole Derivates as Antiproliferative Agents.

A series of novel chalcone-1,2,3-triazole-azole hybrids were designed, synthesized and evaluated for their antiproliferative activity against three selected cancer cell lines (SK-N-SH, EC-109 and MGC-803). Most of the synthesized compounds exhibited moderate to good activity against all the cancer cell lines selected. Particularly, compound I-21 showed the most excellent antiproliferative activity with an IC50 value of 1.52 µM against SK-N-SH cancer cells. Further mechanism studies revealed that compound I-21 induced morphological changes of SK-N-SH cancer cells possibly by inducing apoptosis. Novel chalcone-1,2,3-triazole-azole derivatives in this work might be a series of promising lead compounds to develop anticancer agents for treating neuroblastoma.

[Changes in lymphocyte subsets in infants with common lower respiratory tract infectious diseases].

OBJECTIVE: To investigate the changes and clinical significance of lymphocyte subsets in infants with bronchitis, bronchopneumonia, and bronchiolitis. METHODS: A total of 111 children with bronchitis, 418 children with bronchopneumonia, and 83 children with bronchiolitis were enrolled as disease groups, and 235 healthy children were enrolled as control group. Flow cytometry was applied to measure lymphocyte subsets. RESULTS: The bronchitis group had significantly lower numbers of T cells and CD3+CD8+ T cells than the control group (P<0.05). The bronchopneumonia group had significantly lower numbers of T cells and CD3+CD8+ T cells, a significantly higher number of T helper (Th) cells, and a significantly higher CD4/CD8 ratio than the control group, as well as a significantly higher number of Th cells than the bronchitis group. Compared with the children with mild bronchopneumonia, those with severe bronchopneumonia showed a reduction in T cells and an increase in B cells (P<0.05). The bronchiolitis group had a significantly higher number of Th cells, a significantly higher CD4/CD8 ratio, and a significantly lower number of CD3+CD8+ T cells than the control group (P<0.01). The disease groups showed a significantly higher number of B cells and a significantly lower number of natural killer cells than the control group (P<0.05). CONCLUSIONS: A low, disturbed cellular immune function and a high humoral immune function are involved in the development and progression of lower respiratory tract infectious diseases. The changes in immune function are related to the type and severity of diseases.