Abstract:
Introduction: Pediatricians are encouraged to promote behavior modification to reduce childhood obesity and its co-morbidities, yet the effectiveness of office counseling is unclear. We aimed to evaluate if a low-intensity intervention (action-oriented counseling) in a clinic setting results in weight stabilization, and if the effect is modified by a diagnosis of non-alcoholic fatty liver disease (NAFLD). We hypothesized that patients with NAFLD would be more motivated to adhere to the lifestyle goals set in clinic, due to the diagnosis of an obesity-related condition; and, would therefore achieve greater weight reduction compared to similarly overweight and obese patients without a diagnosis of NAFLD. Methods: A retrospective chart review was conducted on 73 (35 male, 38 female) overweight and obese patients (BMI ≥ 85th percentile) attending a pediatric GI clinic between January 2006 and October 2011. Analysis was conducted to determine if lifestyle goals discussed with the patient at each clinic visit were associated with improved BMI, BMI z-score, and liver enzymes. Treatment outcomes among NAFLD patients and similarly obese patients without NAFLD were compared using t-tests and chi-square tests. Results: Of the children evaluated, 74.0% achieved a reduction or stabilization in BMI z-score after 3 months of follow-up. Among NAFLD patients, liver enzymes improved in 72% of those who were able to stabilize or reduce their BMI and among 43% of those who gained weight. Treatment outcome did not significantly differ based on having a diagnosis of NAFLD, although there was a trend towards greater improvements. Conclusion: Our study suggests that action oriented counseling including goal-setting in a low intensity, clinic based approach is effective in improving patient BMI, in the presence or absence of an obesity-related co-morbidity, such as NAFLD. Further, we demonstrated that lifestyle modification led to improvement of liver enzymes in NAFLD patients and may result in other clinically relevant improvements. Longer studies will be needed to determine if the improvements are sustained.

Abstract:
We review and motivate recently-observed relationships between exactly solvable lattice models and modular representations of Hecke algebras. Firstly, we describe how the set of $n$-regular partitions label both of the following classes of objects: 1. The spectrum of unrestricted solid-on-solid lattice models based on level-1 representations of the affine algebras $\sl_n$, 2. The irreducible representations of type-A Hecke algebras at roots of unity: $H_m(\sqrt[n]{1})$. Secondly, we show that a certain subset of the $n$-regular partitions label both of the following classes of objects: 1. The spectrum of restricted solid-on-solid lattice models based on cosets of affine algebras $(sl(n)^_1 \times sl(n)^_1)/ sl(n)^_2$. 2. Jantzen-Seitz (JS) representations of $H_m(\sqrt[n]{1})$: irreducible representations that remain irreducible under restriction to $H_{m-1}(\sqrt[n]{1})$. Using the above relationships, we characterise the JS representations of $H_m(\sqrt[n]{1})$ and show that the generating series that count them are branching functions of affine $\sl_n$.

Abstract:
A special family of partitions occurs in two apparently unrelated contexts: the evaluation of 1-dimensional configuration sums of certain RSOS models, and the modular representation theory of symmetric groups or their Hecke algebras $H_m$. We provide an explanation of this coincidence by showing how the irreducible $H_m$-modules which remain irreducible under restriction to $H_{m-1}$ (Jantzen-Seitz modules) can be determined from the decomposition of a tensor product of representations of affine $\sl_n$.

Stream
habitat data are often collected across spatial scales because relationships
among habitat, species occurrence, and management plans are linked at multiple
spatial scales. Unfortunately, scale is often a factor limiting insight gained
from spatial analysis of stream habitat data. Considerable cost is often
expended to collect data at several spatial scales to provide accurate
evaluation of spatial relationships in streams. To address utility of single
scale set of stream habitat data used at varying scales, we examined the
influence that data scaling had on accuracy of natural neighbor predictions of
depth, flow, and benthic substrate. To achieve this goal, we measured two
streams at gridded resolution of 0.33 × 0.33 meter cell size over a combined
area of 934 m^{2} to create a baseline for natural neighbor
interpolated maps at 12 incremental scales ranging from a raster cell size of
0.11 m^{2} to 16 m^{2}. Analysis of predictive maps showed a
logarithmic linear decay pattern in RMSE values in interpolation accuracy for
variables as resolution of data used to interpolate study areas became coarser.
Proportional accuracy of interpolated models (r^{2}) decreased, but it was
maintained up to 78% as interpolation scale moved from 0.11 m^{2} to 16
m^{2}. Results indicated that accuracy retention was suitable for assessment
and management purposes at various scales different from the data collection
scale. Our study is relevant to spatial modeling, fish habitat assessment, and
stream habitat management because it highlights the potential of using a single
dataset to fulfill analysis needs rather than investing considerable cost to
develop several scaled datasets

Abstract:
In this paper, we initiate a study into the explicit construction of irreducible representations of the Hecke algebra $H_n(q)$ of type $A_{n-1}$ in the non-generic case where $q$ is a root of unity. The approach is via the Specht modules of $H_n(q)$ which are irreducible in the generic case, and possess a natural basis indexed by Young tableaux. The general framework in which the irreducible non-generic $H_n(q)$-modules are to be constructed is set up and, in particular, the full set of modules corresponding to two-part partitions is described. Plentiful examples are given.

Abstract:
Fermionic expressions for all minimal model Virasoro characters $\chi^{p, p'}_{r, s}$ are stated and proved. Each such expression is a sum of terms of fundamental fermionic form type. In most cases, all these terms are written down using certain trees which are constructed for $s$ and $r$ from the Takahashi lengths and truncated Takahashi lengths associated with the continued fraction of $p'/p$. In the remaining cases, in addition to such terms, the fermionic expression for $\chi^{p, p'}_{r, s}$ contains a different character $\chi^{\hat p, \hat p'}_{\hat r,\hat s}$, and is thus recursive in nature. Bosonic-fermionic $q$-series identities for all characters $\chi^{p, p'}_{r, s}$ result from equating these fermionic expressions with known bosonic expressions. In the cases for which $p=2r$, $p=3r$, $p'=2s$ or $p'=3s$, Rogers-Ramanujan type identities result from equating these fermionic expressions with known product expressions for $\chi^{p, p'}_{r, s}$. The fermionic expressions are proved by first obtaining fermionic expressions for the generating functions $\chi^{p, p'}_{a, b, c}(L)$ of length $L$ Forrester-Baxter paths, using various combinatorial transforms. In the $L\to\infty$ limit, the fermionic expressions for $\chi^{p, p'}_{r, s}$ emerge after mapping between the trees that are constructed for $b$ and $r$ from the Takahashi and truncated Takahashi lengths respectively.

Abstract:
Discussion of "Search for the Wreckage of Air France Flight AF 447" by Lawrence D. Stone, Colleen M. Keller, Thomas M. Kratzke, Johan P. Strumpfer [arXiv:1405.4720].

Abstract:
IQGAP1 is a scaffold protein that interacts with proteins of the cytoskeleton and the intercellular adhesion complex. In podocytes, IQGAP1 is associated with nephrin in the glomerular slit diaphragm (SD) complex, but its role remains ill-defined. In this work, we investigated the interaction of IQGAP1 with the cytoskeleton and SD proteins in podocytes in culture, and its role in podocyte migration and permeability. Expression, localization, and interactions between IQGAP1 and SD or cytoskeletal proteins were determined in cultured human podocytes by Western blot (WB), immunocytolocalization (IC), immunoprecipitation (IP), and In situ Proximity Ligation assay (IsPL). Involvement of IQGAP1 in migration and permeability was also assessed. IQGAP1 expression in normal kidney biopsies was studied by immunohistochemistry. IQGAP1 expression by podocytes increased during their in vitro differentiation. IC, IP, and IsPL experiments showed colocalizations and/or interactions between IQGAP1 and SD proteins (nephrin, MAGI-1, CD2AP, NCK 1/2, podocin), podocalyxin, and cytoskeletal proteins (α-actinin-4). IQGAP1 silencing decreased podocyte migration and increased the permeability of a podocyte layer. Immunohistochemistry on normal human kidney confirmed IQGAP1 expression in podocytes and distal tubular epithelial cells and also showed an expression in glomerular parietal epithelial cells. In summary, our results suggest that IQGAP1, through its interaction with components of SD and cytoskeletal proteins, is involved in podocyte barrier properties.

Abstract:
Introduction. Given the high prevalence of childhood obesity in the United States, we aimed to investigate youth's understanding of obesity and to investigate gaps between their nutritional knowledge, dietary habits, and perceived susceptibility to obesity and its co-morbidities. Methods. A marketing firm contracted by Children's Healthcare of Atlanta facilitated a series of focus group discussions (FGD) to test potential concepts and sample ads for the development of an obesity awareness campaign. Data were collected in August and September of 2010 with both overweight and healthy weight 4th-5th grade and 7th-8th grade students. We conducted a secondary analysis of the qualitative FGD transcripts using inductive thematic coding to identify key themes related to youth reports of family eating habits (including food preparation, meal frequency, and eating environment), perceived facilitators and barriers of healthy diet, and knowledge about obesity and its complications. Results. Across focus group discussions, mixed attitudes about healthy eating, low perceived risk of being or becoming obese, and limited knowledge about the health consequences of obesity may contribute to the rising prevalence of obesity among youth in Georgia. Most youth were aware that obesity was a problem; yet most overweight youth felt that their weight was healthy and attributed overweight to genetics or slow metabolism. Conclusions. Our analysis suggests that urban youth in Georgia commonly recognize obesity as a problem, but there is less understanding of the link to lifestyle choices or the connection to future morbidities, suggesting a need for education to connect lifestyle behaviors to development of obesity. 1. Introduction The prevalence of childhood obesity in the United States has risen dramatically over the last three decades [1] and is the highest in the Southeastern region of the country [2]. Overweight youth are at risk of being obese during adulthood [3] and are likely to experience obesity-related chronic illness [4]. The increase in obesity and its comorbidities among youth is multifactorial in cause, including increased access to foods high in fats, added sugars and calories [5], increased eating outside the home [6], larger portion sizes [7], and a sedentary lifestyle [8]. The diversity of these contributors to childhood obesity has made it difficult to design simple, achievable, public health solutions. Studies have been conducted to identify strategies to combat obesity among youth; yet much remains to be understood. A recent qualitative study found that

Abstract:
We study the Andrews-Gordon-Bressoud (AGB) generalisations of the Rogers-Ramanujan q-series identities in the context of cylindric partitions. We recall the definition of r-cylindric partitions, and provide a simple proof of Borodin's product expression for their generating functions, that can be regarded as a limiting case of an unpublished proof by Krattenthaler. We also recall the relationships between the r-cylindric partition generating functions, the principal characters of affine sl_r algebras, the M^{r, r+d}_r minimal model characters of W_r algebras, and the r-string abaci generating functions, as well as the relationships between them, providing simple proofs for each. We then set r=2, and use 2-cylindric partitions to re-derive the AGB identities as follows. Firstly, we use Borodin's product expression for the generating functions of the 2-cylindric partitions with infinitely-long parts, to obtain the product sides of the AGB identities, times a factor (q; q)_{\infty}^{-1}, which is the generating function of ordinary partitions. Next, we obtain a bijection from the 2-cylindric partitions, via 2-string abaci, into decorated versions of Bressoud's restricted lattice paths. Extending Bressoud's method of transforming between restricted paths that obey different restrictions, we obtain sum expressions with manifestly non-negative coefficients for the generating functions of the 2-cylindric partitions which contains a factor (q; q)_{\infty}^{-1}. Equating the product and sum expressions of the same 2-cylindric partitions, and canceling a factor of (q; q)_{\infty}^{-1} on each side, we obtain the AGB identities.