The interdependency of the molecular structures of drugs and their biomedical characteristics have already been proved by lab experiments. We can approximate these characteristics by computing numerical invariants associated to their molecular structures. These invariants are called topological indices. Among many topological indices, the face index (FI) is defined most recently. The FI may be helpful in approximating the boiling point and π‐electron energy of benzenoid hydrocarbons and some other drugs with the correlation coefficient r>.99. In this article, we compute the FI for Boron triangular nanotubes, the nanotubes VC5V7[]p,q and HC5C7[]p,q, Also compute the FI for quadrilateral sections cut from regular hexagonal lattice Pmn and Pm+1/2n.

As an oral mucosal drug delivery system, oral films have been of wide concern in recent years because of their advantages such as rapid absorption, being easy to swallow and avoiding the first-pass effect common for mucoadhesive oral films. However, the currently utilized manufacturing approaches including solvent casting have many limitations, such as solvent residue and difficulties in drying, and are not suitable for personalized customization. To solve these problems, the present study utilizes liquid crystal display (LCD), a photopolymerization-based 3D printing technique, to fabricate mucoadhesive films for oral mucosal drug delivery. The designed printing formulation includes PEGDA as the printing resin, TPO as the photoinitiator, tartrazine as the photoabsorber, PEG 300 as the additive and HPMC as the bioadhesive material. The influence of printing formulation and printing parameters on the printing formability of the oral films were elucidated in depth, and the results suggested that PEG 300 in the formulation not only provided the necessary flexibility of the printed oral films, but also improved drug release rate due to its role as pore former in the produced films. The presence of HPMC could greatly improve the adhesiveness of the 3D-printed oral films, but excessive HPMC increased the viscosity of the printing resin solution, which could strongly hinder the photo-crosslinking reaction and reduce printability. Based on the optimized printing formulation and printing parameters, the bilayer oral films containing a backing layer and an adhesive layer were successfully printed with stable dimensions, adequate mechanical properties, strong adhesion ability, desirable drug release and efficient in vivo therapeutic efficacy. All these results indicated that an LCD-based 3D printing technique is a promising alternative to precisely fabricate oral films for personalized medicine.

Two improvements of power system electromechanical oscillation estimation via subspace identification are proposed in this paper. Singular value-based criteria are introduced not only to improve the computation efficiency for determining the model order of the estimated system but also to improve the accuracy of the estimates. A mode matching method based on the characteristics of accurate mode shape estimates is proposed to ensure the correctness of the estimates. Numerical results from three different scale power systems illustrate the feasibility of the proposed methods.

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There are two important factors in Stock index futures arbitrage. One is the price of the futures, and the other is the selection of portfolio duplication. In this paper, we give a price boundary model of Stock index futures considering short selling and transaction costs. Then we analyze the optimal stock portfolio scale and stock selection principle for duplicating CSI 300 index.