Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

In this paper, we try to find numerical solution of y'(x)= p(x)y(x)+g(x)+λ∫ba K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b or y'(x)= p(x)y(x)+g(x)+λ∫xa K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b by using Local polynomial regression (LPR) method. The numerical solution shows that this method is powerful in solving integro-differential equations. The method will be tested on three model problems in order to demonstrate its usefulness and accuracy.

Preliminary Analysis of Smart Grid Risk Index System and Evaluation Methods

Combined the purpose and requirements of security and stability economic operations of the smart grid, a more comprehensive, risk indicator system of smart grid is established from five aspects of the smart grid strategic risk, external risk, financial risk, compliance risk, operational risks. On this basis, it is conducted smart grid risk assessments by integrated of the use of Borda sequence value method of the original risk matrix and AHP (hierarchical analysis method), in order to assess risk facing the smart grid and enterprise development more comprehensively, objectively and systematically and conveniently, and prompt companies continue to reduce risk, improve economic efficiency, continuously improve the targeted improvement measures and continue to improve the level of grid development.

基于电子给体-受体复合物的脂肪烃碳氢键多样性转化

The ability to selectively introduce diverse functionality onto hydrocarbons is of substantial value in the synthesis of both small molecules and pharmaceuticals.In this endeavour,as a photocatalyst-and metalfree process,the electron donor–acceptor(EDA)strategy has not been well explored.Here we report an approach to aliphatic carbon-hydrogen bond diversification through an EDA complex constituted by HCl and S^(IV)=O groups.As an efficient hydrogen atom transfer(HAT)reagent,chlorine radical can be produced via a proton-coupled electron transfer process in this system.Based on this unusual path,a photopromoted versatile aliphatic C–H functionalization is developed without photo-and metal-catalysts,including thiolation,arylation,alkynylation,and allylation.This conversion has concise and ambient reaction conditions,good functional group tolerance,and substrate diversity,and provides an alternative solution for the high value-added utilization of bulk light alkanes.

Endoplasmic reticulum targeted AIE bioprobe as a highly efficient inducer of immunogenic cell death

Focused oxidative stress of the specific organelles(e.g.,endoplasmic reticulum(ER)and mitochondrion)of cancer cells can boost the immunogenic cell death(ICD)effect for cancer immunotherapy.Herein,an ER-targeted bioprobe with aggregationinduced emission(AIE)characteristics(TPE-PR-FFKDEL)was rationally designed and synthesized by integrating a new AIE photosensitizer with ER targeting peptide,which has been demonstrated to be able to efficiently induce ER oxidative stress to evoke ICD.Compared with the photosensitizer hypericin that is well-known as an ER-targeted ICD inducer,TPE-PR-FFKDEL can lead to more robust emission of immunostimulatory damage-associated molecular patterns such as surface-exposed calreticulin,ATP secretion,and high-mobility group protein B1(HMGB1)and heat shock protein 70(HSP 70)expression.Furthermore,a range of immune responses are activated to protect mice from the attack of cancer cells in vivo.

Manipulating the intramolecular motion of AIEgens for boosted biomedical applications

The research in the biomedical applications of aggregation? induced emission luminogens (AIEgens) has attracted increasing interest in recent years, as AIEgens have been widely accepted as promising materials for constructing new generation of phototheranostic agents [1-5]. Different from conventional organic dyes, the AIEgens often have threedimensional (3D) molecular structure and contain a number of intramolecular motion units [6-8]. In the aggregates, the 3D molecular structure results in significantly reduced intermolecular interaction such as π-π stacking as compared to planar structure.