The Mobility of Chondroitin Sulfate in Articular and Artificial Cartilage Characterized by (13)C Magic-Angle Spinning NMR Spectroscopy

We have studied the molecular dynamics of one of the major macromolecules in articular cartilage, chondroitin sulfate. Applying (13)C high-resolution magic-angle spinning NMR techniques, the NMR signals of all rigid macromolecules in cartilage can be suppressed, allowing the exclusive detection of the highly mobile chondroitin sulfate. The technique is also used to detect the chondroitin sulfate in artificial tissue-engineered cartilage. The tissue-engineered material that is based on matrix producing chondrocytes cultured in a collagen gel should provide properties as close as possible to those of the natural cartilage. Nuclear relaxation times of the chondroitin sulfate were determined for both tissues. Although T(1) relaxation times are rather similar, the T(2) relaxation in tissue-engineered cartilage is significantly shorter. This suggests that the motions of chondroitin sulfate in data:rat and artificial cartilage different. The nuclear relaxation times of chondroitin sulfate in natural and tissue-engineered cartilage were modeled using a broad distribution function for the motional correlation times. Although the description of the microscopic molecular dynamics of the chondroitin sulfate in natural and artificial cartilage required the identical broad distribution functions for the correlation times of motion, significant differences in the correlation times of motion that are extracted from the model indicate that the artificial tissue does not fully meet the standards of the natural ideal. This could also be confirmed by macroscopic biomechanical elasticity measurements. Nevertheless, these results suggest that NMR is a useful tool for the investigation of the quality of artificially engineered tissue. (C) 2010 Wiley Periodicals, Inc. Biopolymers 93: 520-532, 2010.

Minimal surfaces in S(3) with constant contact angle

We provide a characterization of the Clifford Torus in S(3) via moving frames and contact structure equations. More precisely, we prove that minimal surfaces in S(3) with constant contact angle must be the Clifford Torus. Some applications of this result are then given, and some examples are discussed.

SEMIPERFECT IPRI-RINGS AND RIGHT BEZOUT RINGS

We present a survey of some results on ipri-rings and right Bezout rings. All these rings are generalizations of principal ideal rings. From the general point of view, decomposition theorems are proved for semiperfect ipri-rings and right Bezout rings.

"I will start treatment when I think the time is right":HIV-positive gay men talk about their decision not to access antiretroviral therapy.

In a qualitative study, 20 HIV-infected Australian gay men were interviewed about their decision not to access antiretroviral drug therapy. The main reasons given for the decision were fear of side effects; fear of long-term damage to body organs; the inconvenience of the treatment regimens; belief that the regimen's demands would be a threat to morale; and belief that there was no reason to start therapy in the absence of AIDS-related symptoms. Actions taken by the men to monitor and maintain their health included seeing a doctor regularly; having regular T-cell and viral load tests; and trying to maintain a positive outlook by not letting HIV/AIDS 'take over' their lives. Almost half the men considered they had been subjected to unreasonable pressure to access therapy and there was considerable pride at having resisted this pressure. The findings suggest that the men disagreed with the biomedical model for managing HIV/AIDS only on the question of if and when to access therapy. They also suggest that underlying the men's dissent from the biomedical model was a different mode of thinking than is required by the model: while the model demands thinking that is abstract, the men focused strongly on factors close to the 'here and now' of immediate experience. The practical implications of the findings are explored.

Fast algorithm for the cutting angle method of global optimization

The cutting angle method for global optimization was proposed in 1999 by Andramonov et al. (Appl. Math. Lett. 12 (1999) 95). Computer implementation of the resulting algorithm indicates that running time could be improved with appropriate modifications to the underlying mathematical description. In this article, we describe the initial algorithm and introduce a new one which we prove is significantly faster at each stage. Results of numerical experiments performed on a Pentium III 750 Mhz processor are presented.

The generation of new high-angle boundaries in aluminium during hot torsion

The crystallographic rotation field for deformation in torsion is such that it is possible for orientations close to stable orientations to rotate away from the stable orientation. A Taylor type model was used to demonstrate that this phenomenon has the potential to transform randomly generated low-angle boundaries into high-angle boundaries. After imposing an equivalent strain of 1.2, up to 40% of the simulated boundaries displayed a disorientation in excess of 15°. These high-angle boundaries were characterised by a disorientation axis close to parallel with the sample radial direction. A series of hot torsion tests was carried out on 1050 aluminium to seek evidence for boundaries formed by this mechanism. A number of deformation-induced high-angle boundaries were identified. Many of these boundaries showed disorientation axes and rotation senses similar to those seen in the simulations. Between 10% and 25% of all the high-angle boundary present in samples twisted to equivalent strains between 2 and 7 could be attributed to the present mechanism.

Predicting molecular structures: an application of the cutting angle method

The ability to predict molecular geometries has important applications in chemistry. Specific examples include the areas of protein space structure elucidation, the investigation of host–guest interactions, the understanding of properties of superconductors and of zeolites. This prediction of molecular geometries often depends on finding the global minimum or maximum of a function such as the potential energy. In this paper, we consider several well-known molecular conformation problems to which we apply a new method of deterministic global optimization called the cutting angle method. We demonstrate that this method is competitive with other global optimization techniques for these molecular conformation problems.

Geometry and combinatorics of the cutting angle method

Lower approximation of Lipschitz functions plays an important role in deterministic global optimization. This article examines in detail the lower piecewise linear approximation which arises in the cutting angle method. All its local minima can be explicitly enumerated, and a special data structure was designed to process them very efficiently, improving previous results by several orders of magnitude. Further, some geometrical properties of the lower approximation have been studied, and regions on which this function is linear have been identified explicitly. Connection to a special distance function and Voronoi diagrams was established. An application of these results is a black-box multivariate random number generator, based on acceptance-rejection approach.

Expanding criminal sanctions for corporate crimes-deprivation of right to work and cancellation of education qualifications

Fines are the standard sanctions employed by most Western countries when a corporation has been convicted of a crime. However, some offences committed by corporations are too serious to be dealt with by way of a fine. There is a need to consider other sanctions that can be invoked in order to deter corporate crime. In this article, it is suggested that the focus should be on criminal sanctions against the natural persons who can potentially commit crimes on behalf of a corporation. New sentencing options against those who can potentially commit crimes on behalf of a corporation should include the annulment or suspension of an offender's academic  qualifications and the making of orders preventing an offender from working or being enrolled in an educational or vocational pursuit.

The right to convert exploration licences to mining leases in Australia: a proposed national uniform model

In this article, the authors raise an important proposal for reform to Australia's mining legislation: a nationally-consistent model providing exploration licence holders with a legislative right to be granted a mining lease. This proposed national model will be designed to reflect the present Western Australian system - Western Australia being the only jurisdiction to provide exploration licence holders with the express right to be granted a mining lease on application. The authors believe that the Western Australian system should provide the basis for a national legislative model, given that it is designed to balance appropriately the interests of companies wanting a right to mine to recoup the costs involved in exploring for minerals, and the interests of the public in ensuring that exploration and mining is conducted
reasonably.

Foot-targeting in reaching and grasping

Foot positioning was investigated when right-handed (Experiment One) and left handed adults (Experiment Two) stopped walking to grasp a stationary 70 mm ball at shoulder height. In both experiments centroid location formed by the toe and heel coordinates relative to the object was highly consistent within a target-location condition, demonstrating a foot-targeting phenomenon. Centroid location in the anterior-posterior direction was uninfluenced by grasping hand but the centroid shifted right for left hand grasps and left for right hand grasps. With the target either centrally located or on the same side as the dominant hand, foot positioning brought the grasping hand closer to the target in the medial-lateral direction. When the target object was aligned with the shoulder opposite the dominant hand both groups adopted foot positions to the left of the target. Thus, neither group adopted optimal foot position when the target was located opposite their dominant hand. Foot orientation angle relative to the target was also influenced by choice of grasping hand. Collectively, the findings demonstrate a close association between grasping hand and foot position when approaching to reach and grasp an object but also suggest that foot-dominance may influence medial-lateral centroid location.