Revealed Preference Dimension via Matrix Sign Rank

Given a data-set of consumer behaviour, the Revealed Preference Graph succinctly encodes inferred relative preferences between observed outcomes as a directed graph. Not all graphs can be constructed as revealed preference graphs when the market dimension is fixed. This paper solves the open problem of determining exactly which graphs are attainable as revealed preference graphs in $d$-dimensional markets. This is achieved via an exact characterization which closely ties the feasibility of the graph to the Matrix Sign Rank of its signed adjacency matrix. The paper also shows that when the preference relations form a partially ordered set with order-dimension $k$, the graph is attainable as a revealed preference graph in a $k$-dimensional market.Comment: Submitted to WINE `1

Mentha arvensis (Linn.)-mediated green silver nanoparticles trigger caspase 9-dependent cell death in MCF7 and MDA-MB-231 cells

Prajna Paramita Banerjee,1 Arindam Bandyopadhyay,1 Singapura Nagesh Harsha,2 Rudragoud S Policegoudra,3 Shelley Bhattacharya,4 Niranjan Karak,2 Ansuman Chattopadhyay1 1Molecular Genetics Laboratory, Department of Zoology, Visva-Bharati, Santiniketan, West Bengal, 2Advanced Polymer and Nanomaterial Laboratory, Department of Chemical Sciences, Center for Polymer Science and Technology, Tezpur University, Napaam, 3Division of Pharmaceutical Technology, Defence Research Laboratory, Tezpur, Assam, 4Environmental Toxicology Laboratory, Department of Zoology, Visva-Bharati, Santiniketan, West Bengal, India Introduction: Leaf extract of Mentha arvensis or mint plant was used as reducing agent for the synthesis of green silver nanoparticles (GSNPs) as a cost-effective, eco-friendly process compared to that of chemical synthesis. The existence of nanoparticles was characterized by ultraviolet–visible spectrophotometry, dynamic light scattering, Fourier transform infrared spectroscopy, X-ray diffraction, energy-dispersive X-ray analysis, atomic-force microscopy and transmission electron microscopy analyses, which ascertained the formation of spherical GSNPs with a size range of 3–9 nm. Anticancer activities against breast cancer cell lines (MCF7 and MDA-MB-231) were studied and compared with those of chemically synthesized (sodium borohydride [NaBH4]-mediated) silver nanoparticles (CSNPs). Materials and methods: Cell survival of nanoparticle-treated and untreated cells was studied by 3-[4,5-dimethylthiazol-2-yl]-2,5-diphenyltetrazolium bromide (MTT) assay. Cell-cycle analyses were carried out using fluorescence-activated cell sorting. Cell morphology was observed by fluorescence microscopy. Expression patterns of PARP1, P53, P21, Bcl2, Bax and cleaved caspase 9 as well as caspase 3 proteins in treated and untreated MCF7 and MDA-MB-231 cells were studied by Western blot method. Results: MTT assay results showed that Mentha arvensis-mediated GSNPs exhibited significant cytotoxicity toward breast cancer cells (MCF7 and MDA-MB-231), which were at par with that of CSNPs. Cell cycle analyses of MCF7 cells revealed a significant increase in sub-G1 cell population, indicating cytotoxicity of GSNPs. On the other hand, human peripheral blood lymphocytes showed significantly less cytotoxicity compared with MCF7 and MDA-MB-231 cells when treated with the same dose. Expression patterns of proteins suggested that GSNPs triggered caspase 9-dependent cell death in both cell lines. The Ames test showed that GSNPs were nonmutagenic in nature. Conclusion: GSNPs synthesized using Mentha arvensis may be considered as a promising anticancer agent in breast cancer therapy. They are less toxic and nonmutagenic and mediate caspase 9-dependent apoptosis in MCF7 and MDA-MB-231 cells. Keywords: nanoparticles, EDX, TEM, breast cancer cells, anticancer, nonmutagenic&nbsp

Nanoparticle formulation by Büchi B-90 Nano Spray Dryer for oral mucoadhesion

Sree N Harsha,1 Bander E Aldhubiab,1 Anroop B Nair,1 Ibrahim Abdulrahman Alhaider,1 Mahesh Attimarad,1 Katharigatta N Venugopala,1  Saminathan Srinivasan,2 Nagesh Gangadhar,2 Afzal Haq Asif3 1Department of Pharmaceutical Sciences, College of Clinical Pharmacy, King Faisal University, Al-Ahsa, Saudi Arabia; 2Department of Pharmaceutics, East Point College of Pharmacy, Bangalore, India; 3Department of Pharmacy Practice, College of Clinical Pharmacy, King Faisal University, Al-Ahsa, Saudi Arabia Abstract: Diabetes is considered one of the main threats to global public health in this era. It is increasing rapidly in every part of the world; the prevalence of the disease will grow to the point where 366 million people will be affected by 2030. The prevalence of diabetes mellitus (DM) in the Saudi population is high, and the majority of patients suffer from type 2 DM. Marketed oral antidiabetic drugs have indicated poor tolerability during chronic treatments, and this contributes to the moderately large proportion of type 2 DM patients that remain inadequately managed. Vildagliptin nanospheres were prepared with aminated gelatin using a spray-drying method; narrow particle-size distribution was seen at 445 nm. The angle of repose was found to be θ <33.5°. The nanospheres appeared to be spherical with a smooth surface. The drug content and percentage yield of the nanospheres were found to be 76.2%±4.6% and 83%±2%, respectively. The nanosphere-swell profile was found to be 165%±7%. The pure drug was 100% dissolved in 30 minutes, and the nanosphere formulation took 12 hours to dissolve (97.5%±2%), and followed a Korsmeyer–Peppas kinetic model with an R2 of 0.9838. The wash-off test of nanospheres found that they exhibited an excellent mucoadhesive property at 86.7% for 8 hours. The stability-study data showed no changes in the physicochemical properties of the nanospheres, and suggested that the nanospheres be stored below room temperature. The amount of vildagliptin retained was 1.6% within 3 hours, and in comparison with the gelatin vildagliptin nanoparticles formulation, the percentage that was retained was much higher (98.2% in 12 hours). Keywords: nanospheres, vildagliptin, Büchi Nano Spray Dryer, diabete

Impact of Participant and Interventionist Race Concordance on Weight Loss Outcomes

We have previously shown that racial composition of behavioral intervention groups does not affect achieved weight loss. However, it is unclear if the race of the interventionist affects intervention outcomes. The objective of this analysis is to estimate the impact of race concordance between participant and interventionist on weight change in the initial weight loss phase (phase 1) of the Weight Loss Maintenance trial (WLM)