High-throughput nuclear magnetic resonance (NMR) structural biology and NMR structural genomics pose a fascinating set of geometric challenges. A key bottleneck in NMR structural biology is the resonance assignment problem. We seek to accelerate protein NMR resonance assignment and structure determination by exploiting a priori structural information. In particular, a method known as nuclear ve...

The cone matrix sheath is a biochemically and structurally distinct domain of the retinal interphotoreceptor matrix that is specifically associated with cone photoreceptor cell inner and outer segments. An aqueous extraction technique for the isolation of cone matrix sheath-enriched retinal fractions was developed and used to examine the structure and composition of this extracellular matrix do...

The normal myocardium is composed of a variety of cells. Cardiac myocytes, tethered within an extracellular matrix of fibrillar collagen, represent one third of all cells; noncardiomyocytes account for the remaining two thirds. Ventricular hypertrophy involves myocyte growth. Hypertensive heart disease (HHD) includes myocyte and nonmyocyte growth that leads to an adverse structural remodeling o...

The structure at in nity of a matrix pencil can be obtained by rank determination of Toeplitz matrices. We show that the generic rank of these matrices equals the structural rank. Thus the Toeplitz matrix approach is also suited for investigations of structure matrix pencils. Computational results underline the e ciency of this approach.

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...

BACKGROUND Current approaches in bone regeneration combine osteoconductive scaffolds with bioactive cytokines like BMP or VEGF. The idea of our in-vitro trial was to apply VEGF165 in gradient concentrations to an equine collagen carrier and to study pharmacological and morphological characteristics of the complex in a circulation model. METHODS Release kinetics of VEGF165 complexed in differe...

We characterize the edge versus path incidence matrix of a series-parallel graph. One characterization is algorithmic while the second is structural. The structural characterization implies that the greedy algorithm solves the max 7ow problem in series-parallel graphs, as shown by Bein et al. (Discrete Appl. Math. 10 (1985) 117–124). The algorithmic characterization gives an e8cient way to iden...

Equal matrix grammars are one of paralel rewriting systems. This type of parallel rewriting systems has been investigated in several areas such as L-systems and the syntactic pattern recognition. In this paper, we introduce two types of structural information and show that if these are available and there is a method of learning regular sets in polynomial time, then for any positive integer $k$...