Proteoglycans synthesized by chondrocytes in alginate beads are found in two compartments: the cell-associated matrix and the further removed matrix (Häuselmann, H. J., Aydelotte M. B., Schumacher B. L., Kuettner K. E., Gitelis, S. H., and Thonar, E. J.-M. A. (1992) Matrix 12, 116-129). To study the metabolism of aggrecan in these two compartments, mature bovine articular chondrocytes in algina...

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The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian matrix of G and the average degree of the vertices of G. Motivated by the work from Sharafdini an...

Two types of acceleration techniques, H-matrix arithmetics and an H-matrix-based variable preconditioning (VP), as well their combination are applied to a linear-system solver in the shielding current analysis cracked high-temperature superconducting film. Although seems be most effective three results computations show that, from standpoint performance, neither VP nor is superior arithmetics. ...

Polar decompositions X = U A of real and complex matrices X with respect to the scalar product generated by a given indefinite nonsingular matrix Hare studied in the following special cases: (1) X is an H-contraction, (2) X is an H-plus matrix, (3) H has only one positive eigenvalue, and (4) U belongs to the connected component of the identity in the group of H-unitary matrices. Applications to...

In this study, attempts were made to evaluate the effect of various acrylic acid based Carbopols on the release profile of a beta-adrenoreceptor blocking drug, propranolol HCl, from matrix-type tablets invitro. For this purpose, tablets containing 160 mg of propranolol HCl along with various amounts of Carbopols 934 (C934), 971 (C971), 974 (C974) and Pemulen (Pem) were prepared using the wet gr...

Let H ∈ Cn×n be an n × n unitary upper Hessenberg matrix whose subdiagonal elements are all positive. Partition H as H = H11 H12 H21 H22 , (0.1) where H11 is its k×k leading principal submatrix; H22 is the complementary matrix of H11. In this paper, H is constructed uniquely when its eigenvalues and the eigenvalues of b H11 and b H22 are known. Here b H11 and b H22 are rank-one modifications of...

Abstract. A tournament matrix and its corresponding directed graph both arise as a record of the outcomes of a round robin competition. An n × n complex matrix A is called h-pseudo-tournament if there exists a complex or real nonzero column vector h such that A+ A∗ = hh∗ − I . This class of matrices is a generalisation of well-studied tournament-like matrices such as h-hypertournament matrices,...