A moving boundary problem arising from the diffusion of oxygen in absorbing tissue

Approximate analytical and numerical solutions of a partial differential equation are obtained which describe the diffusion of oxygen in an absorbing medium. Essential mathematical difficulties are associated with the presence of a moving boundary which marks the furthest penetration of oxygen into the medium and also with the need to allow for an initial distribution of oxygen through the medium

A method for solving moving boundary problems in heat flow Part I: Using cubic splines

A new approach to a heat-flow problem involving a moving boundary makes use of a grid system which moves with the boundary. The necessary interpolations are performed by using cubic splines. The method smooths out irregularities in the motion of the boundary which were evident in previous calculations based on a fixed grid system

A method for solving moving boundary problems in heat flow part ii: Using cubic polynomials

A moving grid system has been used to get the solution of the moving boundary problem discussed earlier in Part I, but basing the necessary interpolations on ordinary cubic polynomials rather than splines. The computations are much more economical and the results obtained are also found to he more satiafactory

Shuttle applications in tropospheric air quality observations

The role which might be played by the space shuttle in obtaining data which describes the air quality of the north-eastern United States was investigated. The data requirements of users, a model for statistical interpretation of the observations, the influence of orbit parameters on the spatial and temporal sampling and an example of application of the the model were considered

Modeling of Transient Trapping of Fatty Acid Tails in Phospholipids

We present the derivation of a new model to describe neutron spin echo spectroscopy and quasi-elastic neutron scattering data on liposomes. We compare the new model with existing approaches and benchmark it with experimental data. The analysis indicates the importance of including all major contributions into modeling of the intermediate scattering function. Simultaneous analysis of the experimental data on lipids with full contrast and tail contrast matched samples, reveals highly confined lipid tail motion. A comparison of their dynamics demonstrates the statistical independ-ence of tail-motion and height-height correlation of the membrane. A more detailed analysis indi-cates that lipid tails are subject to relaxations in a potential with cylindrical symmetry, in addition to the undulation and diffusive motion of the liposome. Despite substantial differences in the chemis-try of the fatty acid tails, the observation indicates a universal behavior. The analysis of partially deuterated systems confirms the strong contribution of the lipid tail to the intermediate scattering function. Within the time range from 5 to 100 ns, the intermediate scattering function can be de-scribed by the height-height correlation function. The existence of the fast-localized tail motion and the contribution of slow translational diffusion of liposomes determines the intermediate scattering function for t 100 ns, respectively. Taking into account the limited time window lowers the bending moduli by a factor of 1.3 (DOPC) to 2 (DMPC) compared to the full range.Comment: 33 pages, 5 figures, published in Soft Matte

Surfactant induced smooth and symmetric interfaces in Cu/Co multilayers

In this work we studied Ag surfactant induced growth of Cu/Co multilayers. The Cu/Co multilayers were deposited using Ag surfactant by ion beam sputtering technique. It was found that Ag surfactant balances the asymmetry between the surface free energy of Cu and Co. As a result, the Co-on-Cu and Cu-on-Co interfaces become sharp and symmetric and thereby improve the thermal stability of the multilayer. On the basis of obtained results, a mechanism leading to symmetric and stable interfaces in Cu/Co multilayers is discussed.Comment: 7 Pages, 7 Figure

Subsidiary capability upgrading and parent-subsidiary relationship: insights from a Chinese acquisition in the UK

Purpose: - This study aims to explore capability upgrading of EMNE’s subsidiaries in developed countries and how the parent-subsidiary relationship influences such upgrading. Design/methodology/approach: - The study adopts an interdisciplinary approach to capability upgrading of EMNEs subsidiaries in developed countries. It employs a single case study to explore this under-research area. Finding: - the analysis challenges the orthodox view and suggests broad based capability upgrading has taken place in the EMNE acquired subsidiaries ranging from product, process, functional to intersectoral. In addition, the capability upgrading was contingent on the degree of subsidiary autonomy and subsidiary mandates. Originality/value: - This study represents one of the first to examine capability upgrading and parent-subsidiary relationship in the context of EMNEs’ internationalisation activities