Entrenchment-Based Horn Contraction

The AGM framework is the benchmark approach in belief change. Since the framework assumes an underlying logic containing classical Propositional Logic, it can not be applied to systems with a logic weaker than Propositional Logic. To remedy this limitation, several researchers have studied AGM-style contraction and revision under the Horn fragment of Propositional Logic (i.e., Horn logic). In this paper, we contribute to this line of research by investigating the Horn version of the AGM entrenchment-based contraction. The study is challenging as the construction of entrenchment-based contraction refers to arbitrary disjunctions which are not expressible under Horn logic. In order to adapt the construction to Horn logic, we make use of a Horn approximation technique called Horn strengthening. We provide a representation theorem for the newly constructed contraction which we refer to as entrenchment-based Horn contraction. Ideally, contractions defined under Horn logic (i.e., Horn contractions) should be as rational as AGM contraction. We propose the notion of Horn equivalence which intuitively captures the equivalence between Horn contraction and AGM contraction. We show that, under this notion, entrenchment-based Horn contraction is equivalent to a restricted form of entrenchment-based contraction.

Axl-altered microRNAs regulate tumorigenicity and gefitinib resistance in lung cancer

The involvement of Axl kinase in non-small cell lung cancer's (NSCLC) acquired resistance to tyrosine kinase inhibitors (TKIs) gefitinib or erlotinib has been identified recently, but the mechanism by which Axl contributes to TKI resistance is largely unknown. MicroRNAs (miRNAs) repress gene expression and their critical role in tumorigenesis has been implicated. To investigate the role of miRNAs in the Axl-mediated acquired gefitinib resistance, we examined the Axl-mediated miRNA changes in gefitinib-resistant lung cancers. A panel of Axl kinase-altered miRNAs was identified. In this study, we validate and report that miR-374a and miR-548b modulated by Axl have essential roles in cell cycle arrest, gefitinib-induced apoptosis, epithelial-to-mesenchymal transition, migration and tumorigenesis of gefitinib-resistant lung cancer cells in vitro and in vivo by targeting Wnt5a and CCNB1 genes, respectively. Of clinical significance, high expression of Axl and miR-374a and low expression of miR-548b are associated with poor disease-free survival postoperatively. These findings indicate that the modulation of specific miRNAs may provide a therapeutic target to treat or reverse gefitinib resistance in NSCLC with high expression of Axl in the future.

Correlation and the mechanism of lithium ion diffusion with the crystal structure of Li7La3Zr2O12 revealed by an internal friction technique

The correlation and transport mechanism of lithium ions with the crystal structure of a fast lithium ion conductor Li₇La₃Zr₂O₁₂ are mainly investigated by internal friction (IF) and AC impedance spectroscopy techniques.

Determining sample size and a passing criterion for respirator fit-test panels

Few studies have proposed methods for sample size determination and specification of passing criterion (e.g., number needed to pass from a given size panel) for respirator fit-tests. One approach is to account for between- and within- subject variability, and thus take full advantage of the multiple donning measurements within subject, using a random effects model. The corresponding sample size calculation, however, may be difficult to implement in practice, as it depends on the model-specific and test panel-specific variance estimates, and thus does not yield a single sample size or specific cutoff for number needed to pass. A simple binomial approach is therefore proposed to simultaneously determine both the required sample size and the optimal cutoff for the number of subjects needed to achieve a passing result. The method essentially conducts a global search of the type I and type II errors under different null and alternative hypotheses, across the range of possible sample sizes, to find the lowest sample size which yields at least one cutoff satisfying, or approximately satisfying all pre-determined limits for the different error rates. Benchmark testing of 98 respirators (conducted by the National Institute for Occupational Safety and Health) is used to illustrate the binomial approach and show how sample size estimates from the random effects model can vary substantially depending on estimated variance components. For the binomial approach, probability calculations show that a sample size of 35 to 40 yields acceptable error rates under different null and alternative hypotheses. For the random effects model, the required sample sizes are generally smaller, but can vary substantially based on the estimate variance components. Overall, despite some limitations, the binomial approach represents a highly practical approach with reasonable statistical properties.

Nano-hydroxyapatite/poly(L-lactic acid) composite synthesized by a modified in situ precipitation: preparation and properties

Nano-hydroxyapatite/poly(L-lactic acid) (nano-HA/PLLA) composites with uniform HA distribution and good mechanical performance were fabricated by a modified in situ precipitation method, using Ca(OH)(2) and H(3)PO(4) as precursors for the synthesis of HA phase. This method has solved the aggregation problem of the nano-sized particles in the polymer matrix. The X-ray diffraction, Fourier transform infrared spectroscopy, and transmission electron microscopy were used to characterize the phase composition, chemical interactions and morphology of the composites, while the mechanical properties were determined by compressive measurements. The results show that the rod-like nano-HA particles synthesized by this method were uniformly distributed in the PLLA matrix. The compressive strength and Young's modulus of the composites were greatly enhanced and reached the values of 155 MPa and 3.6 GPa at 20 wt% HA content, respectively, which are much higher than those of the reference samples fabricated by direct mixing of PLLA with nano-HA particles. This supports the potential of these composites for applications in bone tissue engineering and load bearing bone defects repair.