Projective threefolds on which acts with 2-dimensional general orbits

The birational geometry of projective threefolds on which acts with 2-dimensional general orbits is studied from the viewpoint of the minimal model theory of projective threefolds. These threefolds are closely related to the minimal rational threefolds classified by Enriques, Fano and Umemura. The main results are (i) the -birational classification of such threefolds and (ii) the classification of relatively minimal models in the fixed point free cases.

     

Bioanalysis of bevacizumab and infliximab by high-temperature reversed-phase liquid chromatography with fluorescence detection after immunoaffinity magnetic purification

This study presents two simple and rapid methods for the quantification of therapeutic mAbs based on LC. Two mAbs (bevacizumab and infliximab) in plasma samples were purified using magnetic beads immobilized with a commercially-available idiotype antibody for each mAb. Purified mAbs were separated with HT-RPLC and detected with their native fluorescence. Using immunoaffinity beads, each mAb was selectively purified and detected as a single peak in the chromatogram. The HT-RPLC achieved good separation for the mAbs with sharp peaks within 20 min. The calibration curves of the two mAbs ranged from 1 to 20 μg mL⁻¹ (bevacizumab) and 1–10 μg mL⁻¹ (infliximab), and they had strong correlation coefficients (r² > 0.998). The LOD of bevacizumab and infliximab was 0.07 and 0.15 μg mL⁻¹, and the LLOQ of bevacizumab and infliximab was 0.12 and 0.25 μg mL⁻¹, respectively. Thus, the sensitivities were sufficient for clinical analysis. Immunoaffinity purification with HT-RPLC produced a selective and accurate bioanalysis without an LC-MS/MS instrument. Both methods could become general-purpose analytical methods and complement the results obtained with conventional LBA.     

Hybrid numerical technique combining the finite-difference beam-propagation method and the finite-difference time-domain method

A technique combining a scalar wide-angle finite-difference beam-propagation method with a scalar finite-difference time-domain method is proposed in cylindrical coordinates. The propagating field in a lensed coreless fiber is simulated, and the effect of a lens on the far-field pattern is evaluated.     

Redox‐Switchable 20π‐, 19π‐, and 18π‐Electron 5,10,15,20‐Tetraaryl‐5,15‐diazaporphyrinoid Nickel(II) Complexes

The first examples of air‐stable 20π‐electron 5,10,15,20‐tetraaryl‐5,15‐diaza‐5,15‐dihydroporphyrins, their 18π‐electron dications, and the 19π‐electron radical cation were prepared through metal‐templated annulation of nickel(II) bis(5‐arylamino‐3‐chloro‐8‐mesityldipyrrin) complexes followed by oxidation. The neutral 20π‐electron derivatives are antiaromatic and the cationic 18π‐electron derivatives are aromatic in terms of the magnetic criterion of aromaticity. The meso N atoms in these diazaporphyrinoids give rise to characteristic redox and optical properties for the compounds that are not typical of isoelectronic 5,10,15,20‐tetraarylporphyrins.     

Uniaxial magnetization performance of Co-Al<Subscript>2</Subscript>O<Subscript>3</Subscript> nano-composite films electrochemically synthesized from acidic aqueous solution

In this study, Co-Al₂O₃ nano-composite films containing parallel-oriented cobalt nano-cylinders with length-to-diameter aspect ratios of ca. 4000 are synthesized to acquire a uniaxial magnetization property. The Co nano-cylinders were electrodeposited into anodized aluminum oxide films with numerous nano-channels under a low over-potential of less than 0.1 V using an acidic aqueous solution containing CoCl₂ at 75 °C. The long axis of Co nano-cylinders, which are electrodeposited at cathode potential of ?0.58 V vs. Ag/AgCl, coincides with the c axis of hexagonal close packed (hcp)-Co. The Co-Al₂O₃ nano-composite films show a uniaxial magnetization behavior due to the large shape anisotropy of Co nano-cylinders and the large magneto-crystalline anisotropy of the hcp-Co crystal structure. We achieved coercivity and squareness values of up to 2.4 and 1.0 kOe, respectively. This study shows an effective way to produce nano-composite films of altered coercivities.