Interface between 2 dissimilar fluids beneath a sheetpile cofferdam

A closed form solution is presented for determining the shape and location of the interface between two dissimilar fluids (having different densities) when steady flow takes place through a homogeneous and isotropic porous medium, into a sheetpile cofferdam; the interface is assumed to be sharp and the lower fluid stationary. The solution is obtained using the inverse hodograph. Numerical results are presented in nondimensional form for various parametric conditions in the physical plane; the interface pattern, as also the seepage discharge and exit gradient distribution are shown. The critical conditions of the interface are studied.

Complexes of lanthanide iodides with 4-methylpyridine-1-oxide and 2-methylpyridine-1-oxide

Complexes of lanthanide iodides with 4-methylpyridine-1-oxide and 2-methylpyridine-1-oxide of the formulae Ln(4-MePyO)8I3.xH2O (x=0 or 2) and Ln(2-MePyO)5I3.xH2O (x=0, 1 or 3) have been prepared and characterized by analyses, conductance, infrared and proton NMR data. Infrared spectra of the complexes indicate that the coordination of the ligand to the metal ion takes place through the oxygen of the N-O group of the ligand. Proton NMR data for the paramagnetic complexes indicate that both contact and pseudocontact interactions are responsible for the isotropic shifts. Proton NMR spectra of the 2-methylpyridine-1-oxide complexes indicate a restricted rotation of the ligand about the N-O group.

VEGFR-2 and VEGFR-3 Specific Signaling in Lymphangiogenesis and Angiogenesis

The circulatory system consists of the blood and lymphatic vessels. While blood vessels transport oxygen, cells, and nutrients to tissues, the lymphatic vessels collect fluid, cells, and plasma proteins from tissues to return back to the blood circulation. Angiogenesis, the growth of new blood vessels from pre-existing ones, is an important process involved in several physiological conditions such as inflammation, wound healing, and embryonic development. Furthermore, angiogenesis is found in many pathological conditions such as atherosclerosis and the growth and differentiation of solid tumors. Many tumor types spread via lymphatic vessels to form lymph node metastasis. The elucidation of the molecular players coordinating development of the vascular system has provided an array of tools for further insight of the circulatory system. The discovery of the Vascular Endothelial Growth Factor (VEGF) family members and their tyrosine kinase receptors (VEGFRs) has facilitated the understanding of the vasculature in different physiological and pathological situations. The VEGFRs are expressed on endothelial cells and mediate the growth and maintenance of both the blood and lymphatic vasculatures. This study was undertaken to address the role of VEGFR-2 specific signaling in maturation of blood vessels during neoangiogenesis and in lymphangiogenesis. We also wanted to differentiate between VEGFR-2 and VEGFR-3 specific signaling in lymphangiogenesis. We found that specific VEGFR-2 stimulation alone by gene therapeutic methods is not sufficient for production of mature blood vessels. However, VEGFR-2 stimulation in combination with expression of platelet-derived growth factor D (PDGF-D), a recently identified member of the PDGF growth factor family, was capable of stabilizing these newly formed vessels. Signaling through VEGFR-3 is crucial during developmental lymphangiogenesis, but we showed that the lymphatic vasculature becomes independent of VEGFR-3 signaling after the postnatal period. We also found that VEGFR-2 specific stimulation cannot rescue the loss of lymphatic vessels when VEGFR-3 signaling is blocked and that VEGFR-2 specific signals promote lymphatic vessel enlargement, but are not involved in vessel sprouting to generate new lymphatic vessels in vivo, in contrast to the VEGFR-2 dependent sprouting observed in blood vessels. In addition, we compared the inhibitory effects of a small molecular tyrosine kinase inhibitor of VEGFR-2 vs. VEGFR-3 specific signaling in vitro and in vivo. Our results showed that the tyrosine kinase inhibitor could equally affect physiological and pathological processes dependent on VEGFR-2 and VEGFR-3 driven angiogenesis or lymphangiogenesis. These results provide new insights into the VEGFR specific pathways required for pre- and postnatal angiogenesis as well as lymphangiogenesis, which could provide important targets and therapies for treatment of diseases characterized by abnormal angiogenesis or lymphangiogenesis.

The denaturation of β-lactoglobulin-A at pH 2

The denaturation of β-lactoglobulin-A by heat and guanidine hydrochloride at pH 2 has been investigated. The effect of ethylene glycol on the thermal denaturation at this pH has also been studied. The conditions of the experiments have been chosen so as to eliminate complications arising out of disulfide interchange, changes in the degree of association of the protein during denaturation, and intermolecular aggregation. The physical parameters characterizing the denatured states of the protein which are produced by heat and guanidine hydrochloride have been determined. The thermodynamic parameters for these transitions have been estimated using a two-state hypothesis in each case. Both the physical and thermodynamic parameters indicate that the heat-denatured state of β-lactoglobulin-A retains about 15-20% of residual structure which is destroyed on adding guanidine hydrochloride.

Matrices of finite Lorentz transformations in a noncompact basis. III. Completeness relation for O(2, 1)

A parametrization of the elements of the three-dimensional Lorentz group O(2, 1), suited to the use of a noncompact O(1, 1) basis in its unitary representations, is derived and used to set up the representation matrices for the entire group. The Plancherel formula for O(2, 1) is then expressed in this basis.

On walls of marginal stability in N=2 string theories

We study the properties of walls of marginal stability for BPS decays in a class of N = 2 theories. These theories arise in N = 2 string compactifications obtained as freely acting orbifolds of N = 4 theories, such theories include the STU model and the FHSV model. The cross sections of these walls for a generic decay in the axion-dilaton plane reduce to lines or circles. From the continuity properties of walls of marginal stability we show that central charges of BPS states do not vanish in the interior of the moduli space. Given a charge vector of a BPS state corresponding to a large black hole in these theories, we show that all walls of marginal stability intersect at the same point in the lower half of the axion-dilaton plane. We isolate a class of decays whose walls of marginal stability always lie in a region bounded by walls formed by decays to small black holes. This enables us to isolate a region in moduli space for which no decays occur within this class. We then study entropy enigma decays for such models and show that for generic values of the moduli, that is when moduli are of order one compared to the charges, entropy enigma decays do not occur in these models.