On the Quotient Function Employed in the Blind Source Separation Problem

MSC 2010: 42C40, 94A12

Characterizations of the Solution Sets of Generalized Convex Minimization Problems

2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.

Piecewise Convex Curves and their Integral Representation

2000 Mathematics Subject Classification: 52A10.

On the Poisson Process of Order k Space

2010 Mathematics Subject Classification: 60E05, 62P05.

A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals

2000 Mathematics Subject Classification: 41A25, 41A36.

A New Characterization of Weighted Peetre K-Functionals (II)

2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.

Does Atkinson-Wilcox Expansion Converges for any Convex Domain?

2000 Mathematics Subject Classification: 35C10, 35C20, 35P25, 47A40, 58D30, 81U40.

Equivalence Between K-functionals Based on Continuous Linear Transforms

2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.

Phytoestrogen-ind uced glucose uptake and cellular proliferation in L6 myotubesadipocyte function

Aims: Oestrogens are known to act on a number of tissues throughout the body via classical oestrogen receptors, alpha (ER-a) and beta (ER-beta). Previous research has shown that oestrogens can regulate skeletal muscle glucose uptake cellular proliferation. Thus, oestrogens and related molecules provide an interesting focus for research into possible therapies for the treatment of metabolic disorders and sarcopenia. Enterodiol and enterolactone are plant derived mammalian enterolignans which share a struc- tural similarity to the human oestrogen oestradiol. Methods: In the present study we incubated the differentiated rat skeletal muscle cell line L6 concentration ranges of both com- pounds in the presence/absence of oestrogen receptor antagonists and measured glucose uptake using the non-metabolised glucose analogue 2-NBDG. Cellular proliferation was also measured using a modified MTS assay. Results: Enterolactone was seen to cause a significant increase in cellular proliferation after 48h (a maximal 25% at 0.1nmol/l), in an ER-a dependent mechanism. Incubation with 10nmol/l and 100nmol/l enterodiol caused significant increases in 2-NBDG (5000% compared with control, p < 0.001) and 2h glucose depletion from media (15% increase compared with control, p < 0.05), also in an ER-a dependent way. These results suggest these dietary derived oestrogen-like molecules might be of potential use in targeting metabolic disorders or sarcopenia. Conclusion: We can report here that the phytoestrogen derived molecules enterodiol and enterolactone interact with ER-a in the myotubes to regulate glucose uptake and cellular proliferation respectively.

A Kullback-Leibler relatív entrópia függvény alkalmazása páros összehasonlítás mátrix egy prioritásvektora meghatározására (Applying the Kullback-Leibler relative entropy function for determining priorities for the pairwise comparison matrix)

A dolgozatban a döntéselméletben fontos szerepet játszó páros összehasonlítás mátrix prioritásvektorának meghatározására új megközelítést alkalmazunk. Az A páros összehasonlítás mátrix és a prioritásvektor által definiált B konzisztens mátrix közötti eltérést a Kullback-Leibler relatív entrópia-függvény segítségével mérjük. Ezen eltérés minimalizálása teljesen kitöltött mátrix esetében konvex programozási feladathoz vezet, nem teljesen kitöltött mátrix esetében pedig egy fixpont problémához. Az eltérésfüggvényt minimalizáló prioritásvektor egyben azzal a tulajdonsággal is rendelkezik, hogy az A mátrix elemeinek összege és a B mátrix elemeinek összege közötti különbség éppen az eltérésfüggvény minimumának az n-szerese, ahol n a feladat mérete. Így az eltérésfüggvény minimumának értéke két szempontból is lehet alkalmas az A mátrix inkonzisztenciájának a mérésére. _____ In this paper we apply a new approach for determining a priority vector for the pairwise comparison matrix which plays an important role in Decision Theory. The divergence between the pairwise comparison matrix A and the consistent matrix B defined by the priority vector is measured with the help of the Kullback-Leibler relative entropy function. The minimization of this divergence leads to a convex program in case of a complete matrix, leads to a fixed-point problem in case of an incomplete matrix. The priority vector minimizing the divergence also has the property that the difference of the sums of elements of the matrix A and the matrix B is n times the minimum of the divergence function where n is the dimension of the problem. Thus we developed two reasons for considering the value of the minimum of the divergence as a measure of inconsistency of the matrix A.

Early growth characteristics and the risk of reduced lung function and asthma : a meta-analysis of 25,000 children

Peer reviewed

Effects of antenatal multiple micronutrient supplementation on lung function in mid-childhood : follow-up of a double-blind randomised controlled trial in Nepal

Date of Acceptance: 12/12/2014 Support statement: This study was funded by the Wellcome Trust (Ref 092121/Z/10/Z), who played no role in its conception, methods, analysis or interpretation. Funding information for this article has been deposited with FundRef.

Early growth characteristics and the risk of reduced lung function and asthma : a meta-analysis of 25,000 children

Peer reviewed

Effects of antenatal multiple micronutrient supplementation on lung function in mid-childhood : follow-up of a double-blind randomised controlled trial in Nepal

Date of Acceptance: 12/12/2014 Support statement: This study was funded by the Wellcome Trust (Ref 092121/Z/10/Z), who played no role in its conception, methods, analysis or interpretation. Funding information for this article has been deposited with FundRef.

Effect of age on the prognostic value of left ventricular function in patients with acute coronary syndrome : A prospective registry study

© The European Society of Cardiology 2015. Funding The project was funded by the Sir Halley Stewart Trust. MINAP is funded by the Health Quality Improvement Partnership (HQIP).