We consider applying the preconditioned conjugate gradient (PCG) method to solve linear systems Ax = b where the matrix A comes from the discretization of second-order elliptic operators. Let (L +)) ?1 (L t +) denote the block Cholesky factorization of A with lower block triangular matrix L and diagonal block matrix. We propose a preconditioner M = (^ L +)) ?1 (^ L t +) with block diagonal matr...

Abstract. Using Maz’ya type integral identities with power weights, we obtain new boundary estimates for biharmonic functions on Lipschitz and convex domains in R. For n ≥ 8, combined with a result in [S2], these estimates lead to the solvability of the L Dirichlet problem for the biharmonic equation on Lipschitz domains for a new range of p. In the case of convex domains, the estimates allow u...

We establish the L boundedness of singular integrals on product domains with rough kernels in L(logL) and are supported by subvarieties.

Epsilon-Poly-L-lysine (epsilon-PL) consists of 25-35 L-lysine residues in isopeptide linkages and is one of only two amino acid homopolymers known in nature. Elucidating the biosynthetic mechanism of epsilon-PL should open new avenues for creating novel classes of biopolymers. Here we report the purification of an epsilon-PL synthetase (Pls; 130 kDa) and the cloning of its gene from an epsilon-...

The most common organ-specific autoimmune disease in humans involves the thyroid. Autoantibodies against thyroid peroxidase (TPO) are present in the sera of virtually all patients with active disease. We report the molecular cloning of the genes for 30 high-affinity, IgG-class human autoantibodies to TPO from thyroid-infiltrating B cells. Analysis of the putative germline genes used for the TPO...

Title: The fundamental solution of compressible and incompressible fluid flow past a rotating obstacle Abstract: We consider the flow of either an incompressible or a compressible fluid around or past a rotating rigid body in the whole space R 3. Using a global coordinate transform and a linearization the problem reduces to a linear PDE system in a time-independent domain which may admit statio...

e-Poly-L-lysine (e-PL) consists of 25–35 L-lysine residues in isopeptide linkages and is one of only two amino acid homopolymers known in nature. Elucidating the biosynthetic mechanism of e-PL should open new avenues for creating novel classes of biopolymers. Here we report the purification of an e-PL synthetase (Pls; 130 kDa) and the cloning of its gene from an e-PL–producing strain of Strepto...

During inflammation and immune surveillance, initial contacts (tethering) between free-flowing leukocytes and the endothelium are vitally dependent on the presentation of the adhesion receptor L-selectin on leukocyte microvilli. Determinants that regulate receptor targeting to microvilli are, however, largely elusive. Therefore, we systematically swapped the extracellular (EC), transmembrane (T...

Abstract This article is concerned with the discretisation of Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as extension a recent paper by Lehrenfeld and Olshanskii (ESAIM: M2AN 53(2):585–614, 2019), where BDF-type time-stepping schemes are studied for parabolic equation moving domains. For space discretisation, geometrically unfitted finit...

The selectin family of adhesion molecules mediates the initial interactions of leukocytes with endothelium. The extracellular region of each selectin contains an amino-terminal C-type lectin domain, followed by an EGF-like domain and multiple short consensus repeat units (SCR). Previous studies have indirectly suggested a role for each of the extracellular domains of the selectins in cell adhes...