General expressions for the Moore-Penrose inverse of a 2 × 2 block matrix

AbstractThe Moore-Penrose inverse of a 2 × 2 block matrix M = m=acbd is discussed. General expressions for the Moore-Penrose inverse for the block matrix M in terms of the individual blocks A, B, C, D are delivered without any restrictions imposed. Under some conditions, the Moore-Penrose inverse can be simplified. The results extend earlier work by various authors

Coexistence of splenic marginal zone lymphoma with hepatocellular carcinoma: a case report

BACKGROUND: Coexistence of splenic marginal zone lymphoma with hepatocellular carcinoma is rare. Although some reports have suggested the possible pathogenic role of HBV, HCV, chronic and persistent antigenic stimulation in lymphoma, their role in causing lymphomas is still unclear. CASE PRESENTATION: We describe a hepatocellular carcinoma with concomitant splenic marginal zone lymphoma in a 64-year-old Chinese man with cirrhosis. Serum hepatitis B virus surface antigen was positive and antihepatitis C virus antibody was negative. The resected liver mass measuring 4 × 3 × 3 cm was grey and soft with a small area of bleeding, necrosis and intact capsule. Cut surface of the spleen was red-purple and had a diffuse reticulonodular appearance indicative of prominent white pulp. On histologic sections, the liver mass was well and moderately differentiated hepatocellular carcinoma, and the splenic tumor was a specific low-grade small B-cell lymphoma. Immunohistochemical staining and gene rearrangement studies supported that the splenic tumor represents a clonal B-cell lymphoma. Therefore, the diagnosis of SMZL was made from the splenic specimen. CONCLUSION: To our knowledge, this is the second case report describing coexistence of hepatocellular carcinoma and splenic marginal zone lymphoma in the course of chronic HBV infection. However, we cannot assert at present that hepatitis B virus is directly involved in splenic lymphomagenesis until more information is collected from more cases in the future

Efficient synthesis of Vitamin D3 in a 3D ultraviolet photochemical microreactor fabricated using an ultrafast laser

Large-scale, high-precision, and high-transparency microchannels hold great potential for developing high-performance continuous-flow photochemical reactions. We demonstrate ultrafast laser-enabled fabrication of 3D microchannel reactors in ultraviolet (UV) grade fused silica which exhibit high transparency under the illumination of UV light sources of wavelengths well below 300 nm with excellent mixing efficiency. With the fabricated glass microchannel reactors, we demonstrate continuous-flow UV photochemical synthesis of vitamin D3 with low power consumption of the UV light sources

1-(3-tert-Butyl-4-hy­droxy­phen­yl)ethanone

The title compound, C12H16O2, is approximately planar (r.m.s. deviation = 0.030 Å), apart from two methyl groups of the tert-butyl unit [deviations of the C atoms = 1.140 (2) and −1.367 (1) Å]. In the crystal, inter­molecular O—H⋯O hydrogen bonds link the mol­ecules into hexa­meric rings with R 6 6(48) graph-set motifs

AC-NP: A Novel Chimeric Peptide with Natriuretic and Vasorelaxing Actions

The aim of this study was to evaluate the cardiovascular and renal activities of a newly designed natriuretic peptide (NP). Here, we engineered a novel 28-amino acid chimeric peptide, termed AC-NP that combined the 17-amino acid ring of C type natriuretic peptide (CNP) with the 6-amino acid N-terminus and 5-amino acid C-terminus of atrial natriuretic peptide (ANP). Both in vitro and in vivo experiments were performed to determine the actions of AC-NP. In normal rats, AC-NP proved to be more potentially diuretic, natriuretic and hypotensive compared with other NPs, such as ANP, CNP and vasonatrin peptide (VNP), which is another man-made NP. In relaxation of isolated abdominal aorta from rat, AC-NP was equally effective to ANP, CNP and VNP. Elevated levels of 3′,5′-guanosine monophosphate (cGMP) in plasma and urine cGMP excretion indicated the participation of cGMP in the functions of AC-NP. Taken together, innovative designed AD-NP might be a new candidate therapeutic peptide against cardiorenal disorders

Inhibition of Endothelial Cell Proliferation and Tumor Angiogenesis by Up-Regulating NDRG2 Expression in Breast Cancer Cells

The N-myc downstream-regulated gene 2 (NDRG2) is involved in tumor cell differentiation and apoptosis, but its function in tumor angiogenesis remains to be established. Here, we employed adenovirus overexpressing NDRG2 (Ad-NDRG2) to efficiently up-regulate target gene expression in the NDRG2-low-expressing, breast cancer cell line MCF-7. Moreover, VEGF secretion was decreased in MCF-7 cells infected by Ad-NDRG2, and medium conditioned by these infected cells could significantly inhibit the proliferation, tube formation and invasion of human umbilical vein endothelial cells (HUVECs). Further study indicated that the angiogenesis promoting factors VEGF and HIF-1α were down-regulated, whereas the angiogenesis suppressing factors p53 and VHL were up-regulated in MCF-7 cells infected by Ad-NDRG2. Finally, in a nude mouse model, intratumoral injections of Ad-NDRG2 every 3 days for 20 days significantly inhibited the growth and angiogenesis of xenografted MCF-7 tumors. In summary, these data indicate that NDRG2 may be involved in angiogenesis by impacting the expression of angiogenesis related factors. Thus, specific overexpression of NDRG2 by adenovirus represents a promising approach for the treatment of tumor angiogenesis

A simulation study on the measurement of D0-D0bar mixing parameter y at BES-III

We established a method on measuring the \dzdzb mixing parameter $y$ for BESIII experiment at the BEPCII $e^+e^-$ collider. In this method, the doubly tagged $\psi(3770) \to D^0 \overline{D^0}$ events, with one $D$ decays to CP-eigenstates and the other $D$ decays semileptonically, are used to reconstruct the signals. Since this analysis requires good $e/\pi$ separation, a likelihood approach, which combines the $dE/dx$, time of flight and the electromagnetic shower detectors information, is used for particle identification. We estimate the sensitivity of the measurement of $y$ to be 0.007 based on a $20fb^{-1}$ fully simulated MC sample.Comment: 6 pages, 7 figure