The real area of contact and compliance of rough cylinders in compression

Bearing area analysis has been used to study the real area of contact and compliance of rough turned steel cylinders in compression. Calculations show that the elastic real area of contact is very small compared to the plastic real area of contact, and that local compliance due to flattening of asperity tips is a small proportion of the total compliance obtained from experiments. The fact that increased load brings more and more new asperities under load rather than enlarging the contact spots leads to a rather simple load-compliance relation for a rough cylinder, viz., W' = Nh · K1δn, where W0 = K1δn defines the load-compliance relation of the individual asperities, and Nh represents the number of asperities bearing the load.

real area of contact and compliance of rough cylinders in compression

Bearing area analysis has been used to study the real area of contact and compliance of rough turned steel cylinders in compression. Calculations show that the elastic real area of contact is very small compared to the plastic real area of contact, and that local compliance due to flattening of asperity tips is a small proportion of the total compliance obtained from experiments. The fact that increased load brings more and more new asperities under load rather than enlarging the contact spots leads to a rather simple load-compliance relation for a rough cylinder, viz., W' = Nh · K1δn, where W0 = K1δn defines the load-compliance relation of the individual asperities, and Nh represents the number of asperities bearing the load.

A heterogeneous computing approach to simulation of the Heston Stochastic Volatility Model

Stochastic volatility models are of fundamental importance to the pricing of derivatives. One of the most commonly used models of stochastic volatility is the Heston Model in which the price and volatility of an asset evolve as a pair of coupled stochastic differential equations. The computation of asset prices and volatilities involves the simulation of many sample trajectories with conditioning. The problem is treated using the method of particle filtering. While the simulation of a shower of particles is computationally expensive, each particle behaves independently making such simulations ideal for massively parallel heterogeneous computing platforms. In this paper, we present our portable Opencl implementation of the Heston model and discuss its performance and efficiency characteristics on a range of architectures including Intel cpus, Nvidia gpus, and Intel Many-Integrated-Core (mic) accelerators.

Application of optimization methods to vibration control of stretched strings

In this paper, non-linear programming techniques are applied to the problem of controlling the vibration pattern of a stretched string. First, the problem of finding the magnitudes of two control forces applied at two points l1 and l2 on the string to reduce the energy of vibration over the interval (l1, l2) relative to the energy outside the interval (l1, l2) is considered. For this problem the relative merits of various methods of non-linear programming are compared. The more complicated problem of finding the positions and magnitudes of two control forces to obtain the desired energy pattern is then solved by using the slack unconstrained minimization technique with the Fletcher-Powell search. In the discussion of the results it is shown that the position of the control force is very important in controlling the energy pattern of the string.

Mechanism of lectin-cell interactions: thermodynamic and kinetic analysis of the binding of winged bean acidic lectin (WBA II) to human erythrocytes

In order to identify the forces involved in the binding and to understand the mechanism involved, equilibrium and kinetic studies were performed on the binding of the winged bean acidic lectin to human erythrocytes. The magnitudes of delta S and delta H were positive and negative respectively, an observation differing markedly from the lectin-simple sugar interactions where delta S and delta H are generally negative. Analysis of the sign and magnitudes of these values indicate that ionic and hydrogen bonded interactions prevail over hydrophobic interactions resulting in net -ve delta H (-37.12 kJ.mol-1) and +ve delta S (14.4 J.mole-1 K-1 at 20 degrees C), thereby suggesting that this entropy driven reaction also reflects conformational changes in the lectin and/or the receptor. Presence of two kinds of receptors for WBA II on erythrocytes, as observed by equilibrium studies, is consistent with the biexponential dissociation rate constants (at 20 degrees C K1 = 1.67 x 10(-3) M-1 sec-1 and K2 = 11.1 x 10(-3) M-1 sec-1). These two rate constants differed by an order of magnitude accounting for the difference in the association constants of the two receptors of WBA II. However, the association process remains monoexponential suggesting no observable difference in the association rates of the lectin molecule with both the receptors, under the experimental conditions studied. The thermodynamic parameters calculated from kinetic data correlate well with those observed by equilibrium. A two-step binding mechanism is proposed based on the kinetic parameters for WBA II-receptor interaction

Effect of vitamins A and K on colon lysosomes

1. 1. Colon lysosome were separated by differential centrifugation and lysosomes with three different densities, probably arising from the three layers of colon, were found. 2. 2. Hypervitaminosis A resulted in a significant increase in prothrombin time which was restored to normal on vitamin K1 (20) supplementation. 3. 3. There was no appreciable change in the liver storage of vitamin A between hypervitaminotic rats receiving vitamin A and those rats receiving vitamin K1 (20) in addition to excess vitamin A. 4. 4. The colon lysosomes were unstable in hypervitaminosis A, showing an increased free activity of lysosomal enzymes like β-glucuronidase, acid phosphatase and arylsulphatase. This increase of free activity of lysoso3al enzymes in hypervitaminosis A could be prevented by oral supplementation of vitamin K1 (20). 5. 5. In "mild" vitamin A deficiency the release of arylsulphatase was significantly retarded, whereas the decreased free acid phosphatase activity was not significant. 6. 6. "Severe" vitamin A deficiency resulted in a significantly increased free activity of arylsulphatase and acid phosphatase, thus showing the instability of the lysosomal particles in this condition. 7. 7. Addition of vitamin K1 (20) to the incubation medium in vitro could prevent the vitamin A-induced release of arylsulphatase from liver lysosomes, whereas α-tocopherol was inactive. 8. 8. Retinol and retinoic acid were nearly twice as active as ethanol in the release of arylsulphatase from lysosomes in vitro, whereas 5,6-monoepoxyretinoic acid was inactive. 9. 9. The role of vitamins A and K on the lysosomal membrane structure is discussed.

Biosynthesis of sulfated mucopolysaccharides in relation to vitamins A and K

1.(1) Incorporation of Na235SO4 into acid mucopolysaccharides of intestine and colon tissue has been studied in normal, vitamin A-deficient and excess vitamin A-fed rats. 2. (2) Vitamin A deficiency resulted in a significant decrease in [35S]sulfate incorporation into mucopolysaccharides isolated from intestines of male rats. There was no significant change in the total mucopolysaccharides per gram of fresh tissue. 3. (3) When rats are fed excessive amounts of retinyl acetate, increased [35S]sulfate incorporation into mucopolysaccharides of rat intestine and colon is observed. 4. (4) Supplementation of vitamin K1 to rats fed excessive amounts of vitamin A restores the incorporation of [35S]sulfate into the acid mucopolysaccharides to the normal level. 5. (5) The implications of these findings with special reference to the role of vitamins A and K in the synthesis of sulfated mucopolysaccharides are discussed.

Compliance of rough cylinders in compression

Compression of a rough turned cylinder between two hard, smooth, flat plates has been analysed with the aid of a mathematical model based on statistical analysis. It is assumed that the asperity peak heights follow Gaussian or normal and beta distribution functions and that the loaded asperities comply as though they are completely isolated from the neighbouring ones. Equations have been developed for the loadcompliance relation of the real surface using a simplified relation of the form W0 = K1δn for the load-compliance of a single asperity. Parameters K1 and n have considerable influence on the load-compliance curve and they depend on the material, tip angle of the asperity, standard deviation of the asperity peak height distribution and the density of the asperities.

Aspects of tautomerism. Part IV. A kinetic study of the dimerization reaction of pseudo-acid chlorides

The kinetics of dimerization of 4-substituted- and unsubstituted o-benzoylbenzoyl chlorides, with iodide ion can be described by the expression, rate =k2[acid chloride][iodide]. The value for the reaction in dimethylformamide solution is –0·38. The entropy of activation for the reaction is –34·2 cal mol–1 K–1 and the activation energy is 10·7 kcal mol–1. These results have been interpreted as evidence for the formation of pseudo-iodide in the rate-determining step and its fast decomposition to radicals which combine to give a mixture of stereoisomeric dilactones.

Effect of interaction of macrocracks on the stress intensity factor in a beam

Beams with a central edge crack, as well as other noncentral vertical and inclined edge cracks distributed symmetrically, subjected to three-point as well as four-point bending, are analysed using the finite element technique. Values of stress intensity factor K1 at the central crack tip for a crack-to-beam depth ratio Image equal to 0.5, are calculated for various cracked-beam configurations, using the compliance calibration technique as well as method of strain energy release rate. These are compared with the value of K1 for the case of a beam with central edge crack alone. Results of the present parametric study are used to specify the range of values pertaining to basic parameters such as crack-to-beam depth ratios, geometry and position with respect to central edge crack, of other macrocracks for which interaction exists. Accordingly, the macrocracks are classified as either interacting or noninteracting types. Hence for noninteracting types of cracks, analytical expressions available for the determination of K1 in the case of beam with a central edge crack alone, are applicable.

Identification and Epidemiological Typing of Campylobacter strains isolated from Patients in Finland

C. jejuni constitutes the majority of Campylobacter strains isolated from patients in Finland, and C. coli strains are also reported. To improve the species identification, a combination of phenotype- and genotype-based methods was applied. Standardising the cell suspension turbidity in the hippurate hydrolysis test enabled the reliable identification of hippurate-positive Campylobacter strains as C. jejuni. The detection of species-specific genes by PCR showed that about 30% of the hippurate-negative strains were C. jejuni. Three typing methods, serotyping, PCR-RFLP analysis of LOS biosynthesis genes and pulsed-field gel electrophoresis (PFGE) were evaluated as epidemiological typing tools for C. jejuni. The high number of non-typeable strains lowered the discriminatory ability of serotyping. PCR-RFLP typing offered high discrimination for both serotypeable and non-typeable strains, but the correlation between serotypes and RFLP-types was not high enough to enable its use for molecular serotyping of non-typeable strains. PFGE was a highly discriminative typing method. Although the use of two restriction enzymes generally increases the discriminatory ability, KpnI alone offered almost as high discrimination as the use of SmaI and KpnI. The characteristic seasonal distribution of Campylobacter infections with a peak in summer and low incidence in winter was mainly due to domestically acquired infections. Of the C. jejuni strains, 41% were of domestic origin compared to only 17% of the C. coli strains. Serotypes Pen 12, Pen 6,7 and Pen 27 were significantly associated with domestic C. jejuni infections, Pen 1,44, Pen 3 and Pen 37 with travel-related infections. Pen 2 and Pen 4-complex were common both in domestic and travel-related infections. Serotype Pen 2 was less common among patients 60 years or older than in younger patients, more prevalent in Western Finland than in other parts of the country and more prevalent than other serotypes in winter. The source of Pen 2 infections may be related to cattle, since Pen 2 is the most common serotype in isolates from Finnish cattle. PFGE subtypes among isolates from patients and chickens during the summer 2003 and from cattle during the whole year were compared. The analysis of indistinguishable SmaI/KpnI subtypes suggested that up to 31% of the human infections may have been mediated by chickens and 19% by cattle. Human strains isolated during two one-year sampling periods were studied by PFGE. Of the domestic strains, 69% belonged to SmaI subtypes found during both sampling periods. Four SmaI subtypes accounted for 45% of the domestic strains, further typing of these subtypes by KpnI revealed six temporally persistent SmaI/KpnI subtypes. They were only occasionally identified in travel-related strains, and therefore, can be considered to be national subtypes. Each subtype was associated with a serotype: Pen 2, Pen 12, Pen 27, Pen 4-complex, Pen 41, and Pen 57. Five of these subtypes were identified in cattle (S5/K27, S7/K1, S7/K2, S7/K5 and S64/K19), and two in chickens (S7/K1 and S64/K19) with a temporal association with human infections in 2003. Cattle are more likely potential sources of these persistent subtypes, since long-term excretion of Campylobacter strains by cattle has been reported.

The variants of the protein toxins abrin and ricin A useful guide to understanding the processing events in the toxin transport

Kinetic data on inhibition of protein synthesis in thymocyte by three abrins and ricin have been obtained. The intrinsic efficiencies of A chains of four toxins to inactivate ribosomes, as analyzed by k1-versus-concentration plots were abrin II, III > ricin > abrin I. The lag times were 90, 66, 75 and 105 min at a 0.0744 nM concentration of each of abrin I, II, III and ricin, respectively. To account for the observed differences in the dose-dependent lag time, functional and structural variables of toxins such as binding efficiency of B chains to receptors and low-pH-induced structural alterations have been analyzed. The association constants obtained by stopped flow studies showed that abrin-I (4.13 × 105 M−1 s−1) association with putative receptor (4-methylumbelliferyl-α-D-galactoside) is nearly two times more often than abrin III (2.6 × 105 M−1 s−1) at 20°C. Equillibrium binding constants of abrin I and II to thymocyte at 37°C were 2.26 × 107 M−1 and 2.8 × 107 M−1 respectively. pH-induced structural alterations as studied by a parallel enhancement in 8-anilino-L-naphthalene sulfonate fluorescence revealed a high degree of qualitative similarity. These results taken with a nearly identical concentration-independent lag time (minimum lag of 41–42 min) indicated that the binding efficiencies and internalization efficiencies of these toxins are the same and that the observed difference in the dose-dependent lag time is causally related to the proposed processing event. The rates of reduction of inter-subunit disulfide bond, an obligatory step in the intoxication process, have been measured and compared under a variety of conditions. Intersubunit disulfide reduction of abrin I is fourfold faster than that of abrin II at pH 7.2. The rate of disulfide reduction in abrin I could be decreased 1 I-fold by adding lactose, compared to that without lactose. The observed differences in the efficiencies of A chains, the dose-dependent lag period, the modulating effect of lactose on the rates of disulfide reduction and similarity in binding properties make the variants a valuable tool to probe the processing events in toxin transport in detail.

Accelerating frequency-domain diffuse optical tomographic image reconstruction using graphics processing units

Diffuse optical tomographic image reconstruction uses advanced numerical models that are computationally costly to be implemented in the real time. The graphics processing units (GPUs) offer desktop massive parallelization that can accelerate these computations. An open-source GPU-accelerated linear algebra library package is used to compute the most intensive matrix-matrix calculations and matrix decompositions that are used in solving the system of linear equations. These open-source functions were integrated into the existing frequency-domain diffuse optical image reconstruction algorithms to evaluate the acceleration capability of the GPUs (NVIDIA Tesla C 1060) with increasing reconstruction problem sizes. These studies indicate that single precision computations are sufficient for diffuse optical tomographic image reconstruction. The acceleration per iteration can be up to 40, using GPUs compared to traditional CPUs in case of three-dimensional reconstruction, where the reconstruction problem is more underdetermined, making the GPUs more attractive in the clinical settings. The current limitation of these GPUs in the available onboard memory (4 GB) that restricts the reconstruction of a large set of optical parameters, more than 13, 377. (C) 2010 Society of Photo-Optical Instrumentation Engineers. DOI: 10.1117/1.3506216]

Believe it or Not! Multicore CPUs can Match GPUs for FLOP-intensive Applications

In this work, we evaluate performance of a real-world image processing application that uses a cross-correlation algorithm to compare a given image with a reference one. The algorithm processes individual images represented as 2-dimensional matrices of single-precision floating-point values using O(n4) operations involving dot-products and additions. We implement this algorithm on a nVidia GTX 285 GPU using CUDA, and also parallelize it for the Intel Xeon (Nehalem) and IBM Power7 processors, using both manual and automatic techniques. Pthreads and OpenMP with SSE and VSX vector intrinsics are used for the manually parallelized version, while a state-of-the-art optimization framework based on the polyhedral model is used for automatic compiler parallelization and optimization. The performance of this algorithm on the nVidia GPU suffers from: (1) a smaller shared memory, (2) unaligned device memory access patterns, (3) expensive atomic operations, and (4) weaker single-thread performance. On commodity multi-core processors, the application dataset is small enough to fit in caches, and when parallelized using a combination of task and short-vector data parallelism (via SSE/VSX) or through fully automatic optimization from the compiler, the application matches or beats the performance of the GPU version. The primary reasons for better multi-core performance include larger and faster caches, higher clock frequency, higher on-chip memory bandwidth, and better compiler optimization and support for parallelization. The best performing versions on the Power7, Nehalem, and GTX 285 run in 1.02s, 1.82s, and 1.75s, respectively. These results conclusively demonstrate that, under certain conditions, it is possible for a FLOP-intensive structured application running on a multi-core processor to match or even beat the performance of an equivalent GPU version.

Efficient Algorithms for Computing All Low s-t Edge Connectivities and Related Problems

Given an undirected unweighted graph G = (V, E) and an integer k ≥ 1, we consider the problem of computing the edge connectivities of all those (s, t) vertex pairs, whose edge connectivity is at most k. We present an algorithm with expected running time Õ(m + nk3) for this problem, where |V| = n and |E| = m. Our output is a weighted tree T whose nodes are the sets V1, V2,..., V l of a partition of V, with the property that the edge connectivity in G between any two vertices s ε Vi and t ε Vj, for i ≠ j, is equal to the weight of the lightest edge on the path between Vi and Vj in T. Also, two vertices s and t belong to the same Vi for any i if and only if they have an edge connectivity greater than k. Currently, the best algorithm for this problem needs to compute all-pairs min-cuts in an O(nk) edge graph; this takes Õ(m + n5/2kmin{k1/2, n1/6}) time. Our algorithm is much faster for small values of k; in fact, it is faster whenever k is o(n5/6). Our algorithm yields the useful corollary that in Õ(m + nc3) time, where c is the size of the global min-cut, we can compute the edge connectivities of all those pairs of vertices whose edge connectivity is at most αc for some constant α. We also present an Õ(m + n) Monte Carlo algorithm for the approximate version of this problem. This algorithm is applicable to weighted graphs as well. Our algorithm, with some modifications, also solves another problem called the minimum T-cut problem. Given T ⊆ V of even cardinality, we present an Õ(m + nk3) algorithm to compute a minimum cut that splits T into two odd cardinality components, where k is the size of this cut.