A macroscopic system modelling the chemotactic motion of bacteria is considered. This model has been obtained in a previous work thanks to a hydrodynamical limit of a kinetic system. Existence and uniqueness of measure solutions for this system using the concept of duality solution have been proved by the authors in [7]. In this paper, we investigate the numerical discretization of this system. A scheme based on a finite volume approach is proposed and the convergence of the numerical solution towards the unique duality solution is stated. Numerical simulations are provided that shows the behaviour of solutions after blow up.

A set-up for tensile testing in the mushy zone allowing for studies of semi-solid mechanical behavior is available at SINTEF. A hot-tearing experimental set-up has recently been developed allowing for investigation of the hot-tearing susceptibility of industrial aluminium alloys and effects of e.g. alloying composition and grain-refiner. Load and temperature are registered during constrained solidification giving information on the mechanical behavior of the alloy during solidification. Two crack-prone alloys in the 3xxx-series (A and B) have been investigated using both techniques and the results analyzed using information about solidification path from a thermophysical model. Alloy B is found to be mechanically weaker in the interval most susceptible to hot-tearing in agreement with cast-house experience. This study shows that the experimental techniques combined with thermo-physical modeling and characterization allow for a better understanding of the hot-tearing sensitivity of the alloys.

As our understanding of what guides the behavior of multi- and pluripotent stem cells deepens, so too does our ability to utilize certain cues to manipulate their behavior and maximize their therapeutic potential. Engineered, biologically functionalized materials have the capacity to influence stem cell behavior through a powerful combination of biological, mechanical, and topographical cues. Here, we present the development of a novel electrospun scaffold, functionalized with glycosaminoglycans (GAGs) ionically immobilized onto the fiber surface. Bound GAGs retained the ability to interact with GAG-binding molecules and, crucially, presented GAG sulfation motifs fundamental to mediating stem cell behavior. Bound GAG proved to be biologically active, rescuing the neural differentiation capacity of heparan sulfate-deficient mouse embryonic stem cells and functioning in concert with FGF4 to facilitate the formation of extensive neural processes across the scaffold surface. The combination of GAGs with electrospun scaffolds creates a biomaterial with potent applicability for the propagation and effective differentiation of pluripotent stem cells.

The interactions of glycosaminoglycans (GAGs) with proteins underlie a wide range of important biological processes. However, the study of such binding reactions has been hampered by the lack of a simple frontline analysis technique. Previously, we have reported that cold plasma polymerization can be used to coat microtiter plate surfaces with allyl amine to which GAGs (e.g., heparin) can be noncovalently immobilized retaining their ability to interact with proteins. Here, we have assessed the capabilities of surface coats derived from different ratios of allyl amine and octadiene (100:0 to 0:100) to support the binding of diverse GAGs (e.g., chondroitin-4-sulfate, dermatan sulfate, heparin preparations, and hyaluronan) in a functionally active state. The Link module from TSG-6 was used as a probe to determine the level of functional binding because of its broad (and unique) specificity for both sulfated and nonsulfated GAGs. All of the GAGs tested could bind this domain following their immobilization, although there were clear differences in their protein-binding activities depending on the surface chemistry to which they were adsorbed. On the basis of these experiments, 100% allyl amine was chosen for the generation of a microtiter plate-based "sugar array"; X-ray photoelectron spectroscopy revealed that similar relative amounts of chondroitin-4-sulfate, dermatan sulfate, and heparin (including two selectively de-sulfated derivatives) were immobilized onto this surface. Analysis of four unrelated proteins (i.e., TSG-6, complement factor H, fibrillin-1, and versican) illustrated the utility of this array to determine the GAG-binding profile and specificity for a particular target protein.

A gradient of functional heparin is fabricated onto a surface chemical gradient of plasma-polymerized allyl amine (see figure). While heparin functionality changes across the gradient, increased adsorption of heparin onto the surface is not accompanied with a continued, corresponding rise in heparin function.

Fibrillin-1 is a 330-kDa multidomain extracellular matrix protein that polymerizes to form 57-nm periodic microfibrils, which are essential for all tissue elasticity. Fibrillin-1 is a member of the calcium-binding EGF repeat family and has served as a prototype for structural analyses. Nevertheless, both the detailed structure of fibrillin-1 and its organization within microfibrils are poorly understood because of the complexity of the molecule and the resistance of EGF arrays to crystallization. Here, we have used small-angle x-ray scattering and light scattering to analyze the solution structure of human fibrillin-1 and to produce ab initio structures of overlapping fragments covering 90% of the molecule. Rather than exhibiting a uniform rod shape as current models predict, the scattering data revealed a nonlinear conformation of calcium-binding EGF arrays in solution. This finding has major implications for the structures of the many other EGF-containing extracellular matrix and membrane proteins. The scattering data also highlighted a very compact, globular region of the fibrillin-1 molecule, which contains the integrin and heparan sulfate-binding sites. This finding was confirmed by calculating a 3D reconstruction of this region using electron microscopy and single-particle image analysis. Together, these data have enabled the generation of an improved model for microfibril organization and a previously undescribed mechanism for microfibril extensibility.

Fibrillin microfibrils are widely distributed extracellular matrix assemblies that endow elastic and nonelastic connective tissues with long-range elasticity. They direct tropoelastin deposition during elastic fibrillogenesis and form an outer mantle for mature elastic fibers. Microfibril arrays are also abundant in dynamic tissues that do not express elastin, such as the ciliary zonules of the eye. Mutations in fibrillin-1-the principal structural component of microfibrils-cause Marfan syndrome, a heritable disease with severe aortic, ocular, and skeletal defects. Isolated fibrillin-rich microfibrils have a complex 56 nm "beads-on-a-string" appearance; the molecular basis of their assembly and elastic properties, and their role in higher-order elastic fiber formation, remain incompletely understood.

We have defined the homotypic interactions of fibrillin-1 to obtain new insights into microfibril assembly. Dose-dependent saturable high affinity binding was demonstrated between N-terminal fragments, between furin processed C-terminal fragments, and between these N- and C-terminal fragments. The N terminus also interacted with a downstream fragment. A post-furin cleavage site C-terminal sequence also interacted with the N terminus, with itself and with the furin-processed fragment. No other homotypic fibrillin-1 interactions were detected. Some terminal homotypic interactions were inhibited by other terminal sequences, and were strongly calcium-dependent. Treatment of an N-terminal fragment with N-ethylmaleimide reduced homotypic binding. Microfibril-associated glycoprotein-1 inhibited N- to C-terminal interactions but not homotypic N-terminal interactions. These fibrillin-1 interactions are likely to regulate pericellular fibrillin-1 microfibril assembly.

We have investigated the molecular basis of elastic fiber formation on fibrillin microfibrils. Binding assays revealed high affinity calcium-independent binding of two overlapping fibrillin-1 fragments (encoded by central exons 18-25 and 24-30) to tropoelastin, which, in microfibrils, map to an exposed “arms” feature adjacent to the beads. A further binding site within an adjacent fragment (encoded by exons 9-17) was within an eight-cysteine motif designated TB2 (encoded by exons 16 and 17). Binding to TB2 was ablated by the presence of N-terminal domains (encoded by exons 1-8) and reduced after deleting the proline-rich region. A novel transglutaminase cross-link between tropoelastin and fibrillin-1 fragment (encoded by exons 9-17) was localized by mass spectrometry to a sequence encoded by exon 17. The high affinity binding and cross-linking of tropoelastin to a central fibrillin-1 sequence confirm that this association is fundamental to elastic fiber formation. Microfibril-associated glycoprotein-1 showed calcium-dependent binding of moderate affinity to fibrillin-1 N-terminal fragment (encoded by exons 1-8), which localize to the beads. Microfibril-associated glycoprotein-1 thus contributes to microfibril organization but may also form secondary interactions with adjacent microfibril-bound tropoelastin.

(1995). A variational calculus for discontinuous solutions of systems of conservation laws. Communications in Partial Differential Equations: Vol. 20, No. 9-10, pp. 1491-1552.

Trypsin-dissociated HeLa and human amnion cells were employed to investigate the effects of an anionic, a cationic, and a non-ionic surfactant on cell reaggregation. All the surfactants inhibited the reaggregation process, the effect increasing with surfactant concentration, and becoming significant at concentrations of about 10(-6) M for the anionic surfactant and about 10(-5) M for the others. The effects of temperature and ionic strength on HeLa cell aggregation, and of surfactants on the electrophoretic mobility of HeLa cells and the release of sialic acid from their surfaces by neuraminidase, were also examined. The results indicate that although electrostatic effects occur and are likely to be of importance in cell reaggregation, the effect of surfactants cannot be accounted for on this basis alone, and it is suggested that interactions involving the cell-surface glycoproteins, possibly indirectly via effects on the fluidity of the cell membrane, are also significant in this respect.

Two inbred lines of Drosophila melanogaster extracted from a laboratory cage population and homozygous for the AdhS allele of alcohol dehydrogenase (Adh) showed almost a twofold difference in specific activity. Analysis of generations derived from these lines showed that the genetic variation in ADH activity was controlled by additive gene action. There was no evidence of directional dominance or of non-allelic interactions. Although the Adh structural gene is on the second chromosome there was a significant effect of the X chromosome, indicating the action of modifying genes.