Constructing optimal entanglement witnesses. II

We provide a class of optimal nondecomposable entanglement witnesses for 4N x 4N composite quantum systems or, equivalently, a new construction of nondecomposable positive maps in the algebra of 4N x 4N complex matrices. This construction provides natural generalization of the Robertson map. It is shown that their structural physical approximations give rise to entanglement breaking channels.Comment: 6 page

Evidence that the caudal portion of the neural tube develops by cavitation of a neural cord in the caudal eminence of human embryos

The formation of the secondary neural tube was traced in serial sections of human embryos of developmental stages 13 to 17 (32-41 days after fertilisation). It was found that the secondary neural tube formation begins with cavitation of the neural cord. The minute cavities are seen in embryos at stages 13 and 15. At stages 16 and 17 the numerous cavities coalesce to form a single central canal

Constructing new optimal entanglement witnesses

We provide a new class of indecomposable entanglement witnesses. In 4 x 4 case it reproduces the well know Breuer-Hall witness. We prove that these new witnesses are optimal and atomic, i.e. they are able to detect the "weakest" quantum entanglement encoded into states with positive partial transposition (PPT). Equivalently, we provide a new construction of indecomposable atomic maps in the algebra of 2k x 2k complex matrices. It is shown that their structural physical approximations give rise to entanglement breaking channels. This result supports recent conjecture by Korbicz et. al.Comment: 9 page

White communicating rami in human embryos at the end of the fifth week

White communicating rami were traced in 8 human embryos of developmental stages 14 and 15 (aged 33 and 36 postovulatory days, respectively). In embryos at stage 14 the white communicating rami were found in the spinal nerves T1 to T9. In embryos at stage 15 the white communicating rami were present at the spinal cord levels T1 to L3. (Folia Morphol 2010; 69, 2: 75-77

The thickness of the ventral midline of the spinal cord in human embryos during the fifth week

The thickness of the ventral midline of the spinal cord was determined in 9 human embryos aged five weeks (developmental stages 13-15). This part of the spinal cord consists of floor plate, mantle and marginal layers. The floor plate ependymal cells form pseudostratified columnar epithelium. The thickness of the investigated structure varied from 20 to 50 micrometers at different levels of the spinal cord

Optimal entanglement witnesses from generalized reduction and Robertson maps

We provide a generalization of the reduction and Robertson positive maps in matrix algebras. They give rise to a new class of optimal entanglement witnesses. Their structural physical approximation is analyzed. As a byproduct we provide a new examples of PPT (Positive Partial Transpose) entangled states.Comment: 14 page

Breeding for Ukrainian table grape varieties

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Enzymatic Characterization of ER Stress-Dependent Kinase, PERK, and Development of a High-Throughput Assay for Identification of PERK Inhibitors

PERK is serine/threonine kinase localized to the endoplasmic reticulum (ER) membrane. PERK is activated and contributes to cell survival in response to a variety of physiological stresses that affect protein quality control in the ER, such as hypoxia, glucose depravation, increased lipid biosynthesis, and increased protein translation. Pro-survival functions of PERK are triggered by such stresses, suggesting that development of small-molecule inhibitors of PERK may be efficacious in a variety of disease scenarios. Hence, we have conducted a detailed enzymatic characterization of the PERK kinase to develop a high-throughput-screening assay (HTS) that will permit the identification of small-molecule PERK inhibitors. In addition to establishing the Km of PERK for both its primary substrate, eIF2?, and for adenosine triphosphate, further mechanistic studies revealed that PERK targets its substrate via either a random/steady-state ordered mechanism. For HTS, we developed a time-resolved fluorescence resonance energy transfer–based assay that yielded a robust Z? factor and percent coefficient of variation value, enabling the successful screening of 79,552 compounds. This approach yielded one compound that exhibited good in vitro and cellular activity. These results demonstrate the validity of this screen and represent starting points for drug discovery efforts