INTEGER analysis of two-dimensional polygonal objects

A consistent modelling scheme for digital images is presented, with the grey-level raster image as input and the list-oriented polygonal image as output. The output information consists of two parts: The metric of the polygonal object, represented by coordinates of marked positions, and the global topology, which takes the form of a two-dimensional topologic order. The central problem, which has to be solved, is to select a digital polygon, approximating a digital arc such that the essential feature of the arc is represented at a predefined precision level. The proposed algorithm uses simple incremental calculations of INTEGER quantities to solve the problem.     

Gratis lattice points for multidimensional integration

The computation of optimal coefficients for higher dimensionss and larger modulesN by means of the methods known hitherto leads to practically insurmountable problems regarding the computing time needed. In this note we give a method for computing “useful coefficients”, where the computation of these coefficients is immediate and where the computing time is practically negligible for anys andN. Whereas the theoretical efficiency of those “useful coefficients” is roughly speaking half the efficiency of the best possible coefficients, all practical tests indicate that our methods lead to optimal performance as well. A series of computational comparisons between the “useful coefficients” and the optimal ones is enclosed.     

On the deformation of circular cylindrical rubber bars under axial thrust

Summary The axisymmetric bulging of circular cylindrical rubber bars under end thrust is investigated. The results for different forms of the strain energy function are compared with experimental results.With 2 Figures     

Mitogenic effect of erythropoietin on cultured aortic myocytes

The administration of recombinant erythropoietin (rHuEpo) to anemic chronic renal failure patients may be associated with an increase in blood pressure, possibly by direct effects on peripheral blood vessels. In the present study, experiments were designed to explore the hypothesis that rHuEpo could enhance vascular resistance through mitogenic effect on vascular smooth muscle cells (VSMCs), and that preexisting hypertension might be a predisposing condition. Cultured VSMCs from the thoracic aortae of spontaneously hypertensive (SHR) and normotensive Wistar-Kyoto (WKY) rats were studied for DNA synthesis, phospholipase C activity, and cell growth related proto-oncogene expression in the presence of rHuEpo. In cells from both strains, rHuEpo dose-dependently increased DNA synthesis and stimulated phospholipase C activity, as indicated by 3H-thymidine incorporation and 3H-inositol phosphate formation, respectively (EC50 approximately 4 U/ml). Exposure of VSMCs to rHuEpo for various times gradually increased the levels of c-myc and junB and transiently induced c-fos expression, as determined by Northern analysis. rHuEpo-induced DNA synthesis was markedly enhanced in VSMCs from SHR compared to those from WKY. In contrast, rHuEpo-induced phospholipase C activity and proto-oncogene expression did not differ between the two strains. Taken together, these results suggest that rHuEpo may function as a vascular smooth muscle cell growth promoting factor through activation of the phospholipase C cascade and modulation of proto-oncogene expression. It could thereby contribute to vascular hypertrophy and arterial hypertension.     

Influence of various types of load-dependent supports on the stability of a compressible column model

Summary The nonlinear behaviour and static stability of a compressible elastic column whose flexural resistance changes as it is loaded is studied. A two-degree-of-freedom, compressible rod model of the column is analysed. Various types of load-stiffness relationships are considered. Post-buckling behaviour under static unidirectional loads is investigated. Singularities of the equilibrium paths of the column are classified according to the slenderness ratio of the column and the load-stiffness relationship of its support.On leave from Department of Mechanical Engineering, University of Toronto, 5 King's College Road Toronto, Ontario, Canada, M5S 1A4     

Computation of nonlinear functionals in particle methods

We consider the numerical computation of nonlinear functionals of distribution functions approximated by point measures. Two methods are described and estimates for the speed of convergence as the number of points tends to infinity are given. Moreover, numerical results for the entropy functional are presented.     

Analysis of ink flow in a mimeograph printer based on the mechanics of fluid-filled poroelastic solids

Summary To understand some main ink flow mechanisms in a mimeograph printer, the continuum mechanics theory of fluid-saturated porous solids is applied to analyze the ink flow through screens and a printing master, which are modeled by a fluid-filled poroelastic single layer. The layer is assumed to be pressed by a press roller from below and to be subjected from above to the hydrodynamic lubrication pressure induced between a printing drum and an ink roller. Nonlinear elasticity of the layer and dependence of the permeability on its deformation are taken into account. The numerical results show some important results: e.g., squeezing-out of the ink from the layer by the layer compaction by the press roller plays an important role, especially for the case where the compression duration is small in comparison with the characteristic time of the ink-filled poroelastic layer.