The Bel-Robinson tensor B αβµν gives a positive definite gravitational energy in the small sphere limit approximation. However, there is an alternative tensor V αβµν which was proposed recently that offers the same positivity as B αβµν does. These two tensors are a basis for expressions which have the desirable non-negative gravitational energy in the small sphere region limit.

1 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA 2 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, Sidi Bel-Abbès 22000, Algeria 4 Departamento de Analisis Matematico, Facultad de Matematicas, Universida...

The tissue inhibitor of metalloproteinases (TIMP)-1 is a multifunctional protein which is not only an inhibitor of matrix metalloproteinases (MMPs) but also to have a possible "cytokine-like" action. Here, we first compared mRNA expression of TIMP-1 and MMP-9 in BEL-7402 (a hepatocellular carcinoma cell line), L-02 (a normal liver cell line) and QSG-7701 (a cell line derived from peripheral tis...

We give an extensive treatment of the Constant Mean Curvature (CMC) Einstein flow from the point of view of the Bel-Robinson energies. The article, in particular, stresses on estimates showing how the Bel-Robinson energies and the volume of the evolving states control intrinsically the flow along evolution. The treatment is for flows over compact three-manifolds of arbitrary topological type, a...

Chemo-resistance is one of the main obstacle in hepatocellular carcinoma therapy. Apigenin as a natural bioflavonoid has been exhibited anti-cancer properties in various malignant cancers. The aim of this study is to evaluate the potential chemo-sensitization effect of apigenin in doxorubicin-resistant hepatocellular carcinoma cell line BEL-7402/ADM and to investigate its possible mechanism. We...

Two oxovanadium(IV) complexes of [VO(msatsc)(phen)], (1) (msatsc = methoxylsalicylaldehyde thiosemicarbazone, phen = phenanthroline) and its novel derivative [VO (4-chlorosatsc)(phen)], (2) (4-chlorosatsc = 4-chlorosalicylaldehyde thiosemicarbazone), have been synthesized and characterized by elemental analysis, IR, ES-MS, (1)H NMR, and magnetic susceptibility measurements. Their antitumor effe...

We tested a rule-based semantic parser in the BEL statement extraction task of BioCreative V Track4 challenge. While the system achieved an overall F-measure of 21.29% with gold standard entities, it achieved a very low performance of 13.86% with the entities extracted by ensemble of NER systems on test data set. For relation extraction, the system achieved a F-measure of 65.13% on test data se...

Survey of several forms of updating, with a practical illustrative example. We study several updating (conditioning) schemes that emerge naturally from a common scenario to provide some insights into their meaning. Updating is a subtle operation and there is no single method, no single 'good' rule. The choice of the appropriate rule must always be given due consideration. Planchet (1989) presen...

the emergence of plasmodium vivax in dashte moghan in northwestern iran has become a major concern for iranian's health officials. knowledge of genetic make up of the p. vivax populations in this area would give us an insight into the origin of the prevalent infections and the possible routes they are introduced. this paper reports the analysis of a variable region between the two interspecies ...