Enumerating Abelian Returns to Prefixes of Sturmian Words

We follow the works of Puzynina and Zamboni, and Rigo et al. on abelian returns in Sturmian words. We determine the cardinality of the set $\mathcal{APR}_u$ of abelian returns of all prefixes of a Sturmian word $u$ in terms of the coefficients of the continued fraction of the slope, dependingly on the intercept. We provide a simple algorithm for finding the set $\mathcal{APR}_u$ and we determine it for the characteristic Sturmian words.Comment: 19page

Shotgun ion mobility mass spectrometry sequencing of heparan sulfate saccharides

Despite evident regulatory roles of heparan sulfate (HS) saccharides in numerous biological processes, definitive information on the bioactive sequences of these polymers is lacking, with only a handful of natural structures sequenced to date. Here, we develop a “Shotgun” Ion Mobility Mass Spectrometry Sequencing (SIMMS2) method in which intact HS saccharides are dissociated in an ion mobility mass spectrometer and collision cross section values of fragments measured. Matching of data for intact and fragment ions against known values for 36 fully defined HS saccharide structures (from di- to decasaccharides) permits unambiguous sequence determination of validated standards and unknown natural saccharides, notably including variants with 3O-sulfate groups. SIMMS2 analysis of two fibroblast growth factor-inhibiting hexasaccharides identified from a HS oligosaccharide library screen demonstrates that the approach allows elucidation of structure-activity relationships. SIMMS2 thus overcomes the bottleneck for decoding the informational content of functional HS motifs which is crucial for their future biomedical exploitation

Learning to care for Dangaba

In a Kimberley place-based cultural story, Dangaba is a woman whose Country holds poison gas. Her story shows the importance of cultural ways of understanding and caring for Country, especially hazardous places. The authors contrast this with a corporate story of fossil fuel, illustrating the divergent discourses and approaches to place. Indigenous and local peoples and their knowledge, cultures, laws, philosophies and practices are vitally important to Indigenous lifeways and livelihoods, and critically significant to the long-term health and well-being of people and place in our locality, region and world. We call for storying and narratives from the pluriverse of sociocultural voices to be a meaningful part of environmental education and to be implemented in multiple places of learning. To know how to hear, understand and apply the learnings from place-based story is to know how to move beyond a normalised worldview of separation, alienation, individualism, infinite growth, consumption, extraction, commodification and craving. To know how to see, feel, describe and reflect upon experience, concepts and practice is to find ways to move towards radical generosity, mutuality of becoming, embodied kinship, wisdom, humility and respect

Co-constructing Simulations with Learners: Roles, Responsibilities, and Impact

Co-constructed simulations were designed and piloted with senior occupational therapy master’s students in a neurorehabilitation practice module. The instructor served as the guide for the students through all phases of the case creation, simulation development, delivery, and debrief. The instructor facilitation promoted self-regulated learning (SRL) of knowledge and skill development through independent discovery and peer learning. This paper provides an evidence-informed co-construction simulation design with outlined stages, roles, and responsibilities for the instructor and learner. Thematic qualitative analysis of student feedback highlighted enhanced insight and SRL as a result of multiple role preparation, observation and interaction with peers, close interaction with the instructor, and the multi-stage debrief process. Recommended key features and critical interactions for a successful co-constructed design are also identified for the learner, instructor, and simulation. The co-construction simulation process and design elements are suitable for learners in any health-related field of study

Mantle redox state drives outgassing chemistry and atmospheric composition of rocky planets

Volcanic degassing of planetary interiors has important implications for their corresponding atmospheres. The oxidation state of rocky interiors affects the volatile partitioning during mantle melting and subsequent volatile speciation near the surface. Here we show that the mantle redox state is central to the chemical composition of atmospheres while factors such as planetary mass, thermal state, and age mainly affect the degassing rate. We further demonstrate that mantle oxygen fugacity has an effect on atmospheric thickness and that volcanic degassing is most efficient for planets between 2 and 4 Earth masses. We show that outgassing of reduced systems is dominated by strongly reduced gases such as H2, with only smaller fractions of moderately reduced/oxidised gases (CO, H2O). Overall, a reducing scenario leads to a lower atmospheric pressure at the surface and to a larger atmospheric thickness compared to an oxidised system. Atmosphere predictions based on interior redox scenarios can be compared to observations of atmospheres of rocky exoplanets, potentially broadening our knowledge on the diversity of exoplanetary redox states

Versatile Separation and Analysis of Heparan Sulfate Oligosaccharides Using Graphitized Carbon Liquid Chromatography and Electrospray Mass Spectrometry.

Heparin and heparan sulfate (HS) by nature contain multiple isomeric structures, which are fundamental for the regulation of biological processes. Here we report the use of a porous graphitized carbon (PGC) LC-MS method with effective separation and sensitivity to separate mixtures of digested HS oligosaccharides. Application of this method allowed the separation of oligosaccharide mixtures with various degree of polymerization (dp) ranging from dp4 to dp8, two dp4 isomers that were baseline resolved, four dp6 isomers, and the observation of a dp3 oligosaccharide. PGC LC-MS of complex mixtures demonstrated that compounds eluted from the column in decreasing order of hydrophilicity, with the more highly sulfated structures eluting first. Our data indicate that sulfation levels, chain length, and conformation all effect elution order. We found that PGC's resolving capabilities for the dp4 and dp6 isomeric structures makes this methodology particularly useful for the sequencing of HS saccharides, because the lack of contaminating isomeric structures provides unambiguous structural assignments from the MS/MS data. Collectively this work demonstrates that PGC column-based methods are powerful tools for enhanced separation and analysis of heterogeneous mixtures of HS saccharide species

Asymmetric Image-Template Registration

Authors Manuscript received: 2010 May 4. 12th International Conference, London, UK, September 20-24, 2009, Proceedings, Part IA natural requirement in pairwise image registration is that the resulting deformation is independent of the order of the images. This constraint is typically achieved via a symmetric cost function and has been shown to reduce the effects of local optima. Consequently, symmetric registration has been successfully applied to pairwise image registration as well as the spatial alignment of individual images with a template. However, recent work has shown that the relationship between an image and a template is fundamentally asymmetric. In this paper, we develop a method that reconciles the practical advantages of symmetric registration with the asymmetric nature of image-template registration by adding a simple correction factor to the symmetric cost function. We instantiate our model within a log-domain diffeomorphic registration framework. Our experiments show exploiting the asymmetry in image-template registration improves alignment in the image coordinates.NAMIC (NIH NIBIB NAMIC U54-EB005149)NAC (NIH NCRR NAC P41- RR13218)mBIRN (NIH NCRR mBIRN U24-RR021382)NIH NINDS (R01-NS051826 Grant)National Science Foundation (U.S.) (CAREER Grant 0642971)NIBIB (R01 EB001550)NIBIB (R01EB006758)NCRR (R01 RR16594-01A1)NCRR (P41-RR14075)NINDS (R01 NS052585-01)Singapore. Agency for Science, Technology and Researc

Electronic sculpting of ligand-GPCR subtype selectivity:the case of angiotensin II

GPCR subtypes possess distinct functional and pharmacological profiles, and thus development of subtype-selective ligands has immense therapeutic potential. This is especially the case for the angiotensin receptor subtypes AT1R and AT2R, where a functional negative control has been described and AT2R activation highlighted as an important cancer drug target. We describe a strategy to fine-tune ligand selectivity for the AT2R/AT1R subtypes through electronic control of ligand aromatic-prolyl interactions. Through this strategy an AT2R high affinity (<i>K</i>_i = 3 nM) agonist analogue that exerted 18,000-fold higher selectivity for AT2R versus AT1R was obtained. We show that this compound is a negative regulator of AT1R signaling since it is able to inhibit MCF-7 breast carcinoma cellular proliferation in the low nanomolar range