Partitioning 3-homogeneous latin bitrades

A latin bitrade $(T^{\diamond}, T^{\otimes})$ is a pair of partial latin squares which defines the difference between two arbitrary latin squares $L^{\diamond} \supseteq T^{\diamond}$ and $L^{\diamond} \supseteq T^{\otimes}$ of the same order. A 3-homogeneous bitrade $(T^{\diamond}, T^{\otimes})$ has three entries in each row, three entries in each column, and each symbol appears three times in $T^{\diamond}$. Cavenagh (2006) showed that any 3-homogeneous bitrade may be partitioned into three transversals. In this paper we provide an independent proof of Cavenagh's result using geometric methods. In doing so we provide a framework for studying bitrades as tessellations of spherical, euclidean or hyperbolic space.Comment: 13 pages, 11 figures, fixed the figures. Geometriae Dedicata, Accepted: 13 February 2008, Published online: 5 March 200

Improved cloud-phase determination of low-level liquid and mixed-phase clouds by enhanced polarimetric lidar

The unambiguous retrieval of cloud phase from polarimetric lidar observations is dependent on the assumption that only cloud scattering processes affect polarization measurements. A systematic bias of the traditional lidar depolarization ratio can occur due to a lidar system's inability to accurately measure the entire backscattered signal dynamic range, and these biases are not always identifiable in traditional polarimetric lidar systems. This results in a misidentification of liquid water in clouds as ice, which has broad implications on evaluating surface energy budgets. The Clouds Aerosol Polarization and Backscatter Lidar at Summit, Greenland employs multiple planes of linear polarization, and photon counting and analog detection schemes, to self evaluate, correct, and optimize signal combinations to improve cloud classification. Using novel measurements of diattenuation that are sensitive to both horizontally oriented ice crystals and counting system nonlinear effects, unambiguous measurements are possible by over constraining polarization measurements. This overdetermined capability for cloud-phase determination allows for system errors to be identified and quantified in terms of their impact on cloud properties. It is shown that lidar system dynamic range effects can cause errors in cloud-phase fractional occurrence estimates on the order of 30 % causing errors in attribution of cloud radiative effects on the order of 10–30 %. This paper presents a method to identify and remove lidar system effects from atmospheric polarization measurements and uses co-located sensors at Summit to evaluate this method. Enhanced measurements are achieved in this work with non-orthogonal polarization retrievals as well as analog and photon counting detection facilitating a more complete attribution of radiative effects linked to cloud properties

Tension of APEL: Perceptions of higher education in further education lecturers

This article examines the perceptions of Accrediting Prior Experiential Learning (APEL) from the point of view of lecturers delivering higher education in further education institutions. Despite the fact that APEL is recognised as potentially providing a range of benefits for higher education providers, students and employers, little research has been carried out with those responsible for accreditation. Data were obtained using an online survey to collect information from lecturers about their awareness of and support for APEL. Analysis of this information reveals that confusion about the purpose and implementation remain the main barriers to APEL for this group, and that providing appropriate support for staff could be an effective mechanism for overcoming this. The implications of this study are discussed in relation to the higher education in further education context, with specific reference to the Foundation degree. © 2011 Further Education Research Association

Social Work Education: Radical Thought in Action

Through the experiences of a group of social work students, this paper critiques social work education and deals with two levels of the educational experience: the oppressive atmosphere of the school and the conceptual content of the curriculum. An alternative model is presented, which attempts to combine radical social work theory with a radicalized educational process and methodology

DHA Alters Raft-like Membrane Domains as Revealed by Solid State 2H NMR Spectroscopy

poster abstractDietary omega-3 polyunsaturated fatty acids (n-3 PUFAs), such as docosahexaenoic acid (DHA, 22:6), are correlated with the prevention of neurological and autoimmune disorders in humans. These fatty acids must be obtained from the diet, such as oil fish or fish oil supplements, as they cannot be generated within the human body. The origin of the health benefits at the molecular level is still under question. A membrane-mediated mechanism in which n-3 PUFAs are incorporated into phospholipids and modulate molecular organization is one possibility. Cellular membranes are inhomogeneous where structurally diverse lipids can exist in separate domains. Regions rich in sphingomyelin (SM) and cholesterol, commonly called lipid rafts, contain important signaling proteins. In a recent solid-state 2H nuclear magnetic resonance (2H NMR) study of a model membrane composed of 1-[2H31] palmitoyl-2-docosahexaenoyl-phosphatidylcholine (PDPC-d31), a deuterated analog of a DHA-containing phospholipid, in mixtures with SM and cholesterol, we discovered that DHA could significantly enter raft-like domains. How DHA affects the molecular organization within the raft-like domains is addressed here by observing PSM-d31, an analog of SM with a perdeuterated N-palmitoyl chain. The 2H NMR spectra for PSM-d31, in mixtures with PDPC and cholesterol, exhibit two spectral components, a larger more ordered component that we attribute to raft-like domains and a smaller less ordered component that we attribute to non-raft-like domains. On average, the order of PSM-d31 is reduced and, thus, disordering of PSM-d31 by PDPC is indicated. Our observations confirm that DHA can infiltrate rafts and affect molecular organization, which has implications for the signaling of raft and non-raft proteins. Furthermore, these results are consistent with in vivo studies showing that DHA infiltrates rafts

Raft Busters: A Molecular Role for DHA in Biological Membranes?

poster abstractDietary consumption of fish oils rich in omega-3 polyunsaturated fatty acids (n-3 PUFAs), such as docosahexaenoic acid (DHA, 22:6), has a wide variety of health benefits. However, a complete molecular mechanism is yet to be elucidated. One model that has emerged from biochemical and imaging studies of cells postulates that n-3 PUFAs are taken up into phospholipids in the plasma membrane of cells and, due to their high disorder and aversion for cholesterol, reorganize lipid rafts. Lipid rafts are ordered domains within biological membranes which contain high amounts of sphingomyelin (SM) and cholesterol. To investigate this model, we studied lipid bilayers composed of SM, PDPC (a DHA-containing phospholipid), and cholesterol (1:1:1 mol). The molecular organization of each lipid was investigated with solid-state 2H NMR using deuterated analogs of the lipids. Spectral components assigned to ordered raft-like domains and disordered non-raft domains were resolved, from which the composition of the domains and the order within them could be determined. Most of the SM (84%) and cholesterol (88%) was found in the raft-like domain, together with a substantial amount of PDPC (70%). Despite the infiltration of PDPC there appears to be minimal effect on the order of SM or cholesterol. We speculate that PDPC molecules sequester into small groups minimizing the contact of DHA chains with cholesterol, thereby interrupting the continuity of the raft-like environment

DHA and EPA Interaction with Raft Domains Observed With Solid-State 2H NMR Spectroscopy

poster abstractResearch continues to examine the health benefits of omega-3 polyunsaturated fatty acids (n-3 PUFA) found in fish oils. The major bioactive components are eicosapentaenoic acid (EPA, 20:5), with 20 carbons and 5 double bonds, and docosahexaenoic acid (DHA, 22:6), with 22 carbons and 6 double bonds. However, their molecular modes of action remain unclear. A suggested hypothesis is that these fatty acids are incorporated into membrane phospholipids and modify the structure and organization of lipid rafts, thus affecting cell signaling. We used solid-state 2H NMR spectroscopy to compare molecular organization in mixtures of 1-palmitoyl-2-eicosapentaenoylphosphatidylcholine (PEPC) and 1-palmitoyl-2-docosahexaenoylphosphatidylcholine (PDPC) with the raft-stabilizing molecules sphingomyelin (SM) and cholesterol. Our spectra for PEPC-d31 and PDPC-d31, analogs of PEPC and PDPC with a perdeuterated palmitoyl sn-1 chain, showed that DHA has a greater tendency than EPA to incorporate into raft-like domains enriched in SM and cholesterol. By using PSM-d31, an analog of SM with a perdeuterated N-palmitoyl chain, we now directly observe one of the raft-forming molecules and analyze the molecular order within the raft. These results will add to the growing information on how EPA and DHA differentially modify lipid domain organization in bilayers