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The detection of circulating tumor cells (CTCs) with a specific antigen expression is necessary in therapeutic response monitoring and targeted therapy guidance. The existence of human epidermal growth factor receptor 2 (HER2) and the concentration of HER2-positive CTCs are strong indicators for patient diagnosis, prognosis, and therapeutic monitoring. Herein we report the direct isolation of HER2-positive CTCs by peptide-functionalized nanomaterials. We designed and screened out a peptide as an HER2 antibody alternative demonstrating high HER2 affinity and selectivity. This HER2 recognition peptide bound efficiently with HER2 at the ligand-binding domain. Efficient HER2-positive CTC capture and detection were demonstrated using magnetic nanoparticles functionalized with the HER2 recognition peptide.

The reaction mechanisms for the MTO-catalyzed deoxygenation of epoxides and diols were investigated with the aid of density functional theory (DFT) calculations. The DFT results indicate that the reaction starts with a [2σ+2π] addition of epoxide to MTO to give a five-membered-ring rhena-2,5-dioxolane intermediate, followed by H2 addition, proton transfer, and extrusion of olefin to regenerate the catalyst. The experimental observation for formation and subsequent disappearance of diol appearing in the catalytic reaction is explained as follows. Diol was produced by the hydrolysis of epoxide with the coproduct water through the five-membered-ring rhena-2,5-dioxolane intermediate. Then the diol produced undergoes catalytic conversion to olefin by reacting with H2 under the catalytic conditions.

Abstract. Following the idea of Lusztig, Atiyah-Hirzebruch and Kosniowski, we note that the Dolbeault-type operators on compact, almost-complex manifolds are rigid. When the circle action has isolated fixed points, this rigidity result will produce many identities concerning the weights on the fixed points. In particular, it gives a criterion to detemine whether or not a symplectic circle action with isolated fixed points is Hamiltonian. As applications, we simplify the proofs of some known results related to symplectic circle actions, due to Godinho, Tolman-Weitsman and Pelayo-Tolman, and generalize some of them to more general cases.