The invariant imbedding T-matrix method (II-TM) is employed to simulate the optical properties of normal biconcave and deformed red blood cells (RBCs). The phase matrix elements of a RBC model computed with the II-TM are compared with their counterparts computed with the discrete-dipole approximation (DDA) method. As expected, the DDA results approach the II-TM results with an increase in the n...

The imported precursors of the mammalian matrix enzymes malate dehydrogenase [(S)-malate:NAD+ oxidoreductase, EC 1.1.1.37] and ornithine transcarbamylase (carbamoyl-phosphate:L-ornithine carbamoyltransferase, EC 2.1.3.3) are cleaved to their mature subunits in two steps, each catalyzed by matrix-localized processing proteases. The number and properties of these proteases are the subjects of thi...

In previous studies were have reported on the secretion and extracellular deposition of type II collagen and fibronectin (Dessau et al., 1978, J. Cell Biol., 79:342-355) and chondroitin sulfate proteoglycan (CSPG) (Vertel and Dorfman, 1979, Proc. Natl. Acad. Sci. U. S. A. 76:1261-1264) in chondrocyte cultures. This study describes a combined effort to compare sequence and pattern of secretion a...

Growth and division of type II pulmonary epithelial cells are important components of the pathway by which the alveolar surface is repaired following several forms of lung injury. These processes, which result in reepithelialization of the denuded alveolar basement membrane, involve loss of type II cell differentiation and transition to a type I epithelium. As in other cells, the extracellular ...

for $a,bin m_{nm},$ we say that $a$ is left matrix majorized (resp. left matrix submajorized) by $b$ and write $aprec_{ell}b$ (resp. $aprec_{ell s}b$), if $a=rb$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $r.$ moreover, we define the relation $sim_{ell s} $ on $m_{nm}$ as follows: $asim_{ell s} b$ if $aprec_{ell s} bprec_{ell s} a.$ this paper characterizes all linear p...

for vectors x, y ∈ rn, it is said that x is left matrix majorizedby y if for some row stochastic matrix r; x = ry. the relationx ∼` y, is defined as follows: x ∼` y if and only if x is leftmatrix majorized by y and y is left matrix majorized by x. alinear operator t : rp → rn is said to be a linear preserver ofa given relation ≺ if x ≺ y on rp implies that t x ≺ ty onrn. the linear preservers o...

II. LINEAR ALGEBRA Linear Algebra is the study of linear transformations. We used the following result on how to diagonalize an Hermitian matrix: II.1. Theorem: Diagonalization of Hermitian Matrix (Notes on Linear Algebra Theorem 6) Let H ∈ Cn×n be a Hermitian matrix, i.e., such that H = H∗. The eigenvalues λ1, . . . , λn of H are real (they are not necessarily distinct); H has n orthonormal ei...

The present paper is devoted to the determination of displacement, stresses and temperature from three dimensional anisotropic half spaces due to presence of heat source. The normal mode analysis technique has been used to the basic equations of motion and generalized heat conduction equation proposed by Green-Naghdi model-II [1]. The resulting equation are written in the form of a vector –matr...

in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

in this paper, at rst for a given set of real or complex numbers  with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which  is its spectrum. in continue we present some conditions for existence such nonnegative tridiagonal matrices.