Dyck paths, Motzkin paths, and the binomial transform

We study the moments of orthogonal polynomial sequences (OPS) arising from tridiagonal matrices. We obtain combinatorial information about the sequence of moments of some OPS in terms of Motzkin and Dyck paths, and also in terms of the binomial transform. We then introduce an equivalence relation on the set of Dyck paths and some operations on them. We determine a formula for the cardinality of those equivalence classes, and use this information to obtain a combinatorial formula for the number of Dyck and Motzkin paths of a fixed length

The Rogers--Ramanujan recursion and intertwining operators

We use vertex operator algebras and intertwining operators to study certain substructures of standard $A_1^{(1)}$--modules, allowing us to conceptually obtain the classical Rogers--Ramanujan recursion. As a consequence we recover Feigin-Stoyanovsky's character formulas for the principal subspaces of the level 1 standard $A_1^{(1)}$--modules.Comment: minor change

Quantification of gliadin levels to the picogram level by flow cytometry

Celiac disease is a widely prevalent enteropathy caused by intolerance to gliadin, one of the gluten proteins. We developed two methods for the analysis of gliadin levels. Both methods use flow cytometry and rat antibodies against a 16-residue peptide of gliadin. The peptide is common to the alpha-, beta-, gamma-, and omega-gliadins

Dosing Oncology Therapeutics in Combination Therapy for Renal Dysfunction: The University of California San Diego Study of Personalized Cancer Therapy to Determine Response and Toxicity (UCSD-PREDICT) Experience.

Introduction Dose reductions are often required to avoid toxicity in combination therapy for advanced cancers, but information on appropriate dose reductions in renal dysfunction is lacking. This study assessed dose reductions of renally cleared oncology agents given in combination therapy in the setting of renal dysfunction. Methods A database of 1,072 patients was screened to identify patients with renal dysfunction (glomerular filtration rate < 60 mL/min) receiving oncology combination therapy with at least one agent requiring dose reduction for renal insufficiency. The dose of the renal agent was compared to the single-agent renal dosing recommendations to calculate a dose percentage. Tolerability was determined from electronic medical records review. Results Thirty-three regimens (n = 25 patients) were identified: 11 included at least one targeted agent (n = 8 patients) and 22 had only cytotoxic chemotherapy (n = 18 patients). The renal agent was given at the recommended single-agent renal dose in ~50% of combinations; ~50% of all regimens were tolerated, and only six combinations had dose reductions for toxicity. The median final dose percentage was 100% of the recommended renal dose (range: 25% - 333%); no significant differences were seen between groups (cytotoxic - tolerated, cytotoxic - not tolerated, targeted - tolerated, targeted - not tolerated; p = 0.38). No significant differences were observed between tolerated vs. non-tolerated (p = 0.97) or targeted vs. cytotoxic (p = 0.80) regimens. Conclusions Dose reductions of renally cleared agents are highly variable in oncology patients with renal dysfunction. Additional studies are needed to determine appropriate dosing adjustments in this population

The downsides of the UK eventually joining NAFTA

It would expose British farming and manufacturing, and make free trade with the EU less likely - by Daniel Capparell

Can Education Help Immigrant Students Gain Capital?

A review of current literature and research written from the voices of immigrant students was conducted. An emphasis was placed on how immigrant students navigate through the school system as represented through their particular voices and experiences. Research came from ethnographies and research articles that were written from the perspectives and voices of immigrant students. The review helped to answer questions regarding what were some of the challenges immigrant students faced as they navigated through the public educational system. Also, were there similarities or differences in the challenges faced by immigrant students that came from different countries and different racial climates? The immigrant students’ articulated challenges and factors faced were then analyzed using Pierre Bourdieu’s theory of cultural and social capital, along with the work of Tara Yosso and her complications of Bourdieu’s theories. Lastly, implications were drawn from the work that could aid school personnel with immigrant students. Suggestions were given for teachers, guidance counselors, administrators, and policy makers on how this research can be used in the future to help immigrant students succeed in our public educational system