Representation of noncommutative phase space

The representations of the algebra of coordinates and momenta of noncommutative phase space are given. We study, as an example, the harmonic oscillator in noncommutative space of any dimension. Finally the map of Sch$\ddot{o}$dinger equation from noncommutative space to commutative space is obtained.Comment: Latex file, 10 page

LncRNA NBAT-1 inhibits the progression of hepatocellular carcinoma by interacting with CYLD

Purpose: To illustrate the biological influences of long non-coding RNA (lncRNA) NBAT-1 (neuroblastoma associated transcript 1) on HCC progression and the molecular mechanism of action. Methods: NBAT-1 levels in HCC tissues and cell lines were determined by quantitative real-time polymerase chain reaction (qRT-PCR). The relationship between NBAT-1 and prognosis in HCC was analyzed. After knockdown of NBAT-1 in HepG2 and Hep3B cells, proliferative and migratory changes were assessed by cell counting kit-8 (CCK-8) and Transwell assay, respectively. The interaction between NBAT-1 and CYLD was confirmed by subcellular fraction determination and RNA binding protein immunoprecipitation (RIP). Rescue experiments were conducted to verify the involvement of CYLD in HCC cell functions regulated by NBAT-1. Results: NBAT-1 was downregulated in HCC tissues. Its level was much lower in metastatic or advanced stage HCC patients (p < 0.05), showing a certain prognostic potential. Knockdown of NBAT-1 stimulated proliferative and migratory potentials in HepG2 and Hep3B cells. NBAT-1 was mainly distributed in the cell cytoplasm. The mRNA and protein levels of CYLD were downregulated in HCC cells by NBAT-1 knockdown, displaying a positive interaction. CYLD was involved in the regulatory effect of NBAT-1 on HCC progression. Conclusion: Through a positive interaction with CYLD, NBAT-1 inhibits the malignant progression of HCC. These findings provide a potential approach to the development of targeted therapies for HCC

T1 mapping combined with arterial spin labeling MRI to identify renal injury in patients with liver cirrhosis

PurposeWe investigated the capability and imaging criteria of T1 mapping and arterial spin labeling (ASL) MRI to identify renal injury in patients with liver cirrhosis.MethodsWe recruited 27 patients with cirrhosis and normal renal function (cirrhosis-NR), 10 with cirrhosis and renal dysfunction (cirrhosis-RD) and 23 normal controls (NCs). All participants were examined via renal T1 mapping and ASL imaging. Renal blood flow (RBF) derived from ASL was measured from the renal cortex, and T1 values were measured from the renal parenchyma (cortex and medulla). MRI parameters were compared between groups. Diagnostic performances for detecting renal impairment were statistically analyzed.ResultsCortical T1 (cT1) and medullary T1 (mT1) were significantly lower in the NCs than in the cirrhosis-NR group. The cortical RBF showed no significant changes between the NCs and cirrhosis-NR group but was markedly decreased in the cirrhosis-RD group. The areas under the curve (AUCs) for discriminating cirrhosis-NR from NCs were 0.883 and 0.826 by cT1 and mT1, respectively. Cortical RBF identified cirrhosis-RD with AUC of 0.978, and correlated with serum creatinine (r = −0.334) and the estimated glomerular filtration rate (r = 0.483). A classification and regression tree based on cortical RBF and cT1 achieved 85% accuracy in detecting renal impairment in the cirrhosis.ConclusionRenal T1 values might be sensitive predictors of early renal impairment in patients with cirrhosis-NR. RBF enabled quantifying renal perfusion impairment in patients with cirrhosis-RD. The diagnostic algorithm based on cortical RBF and T1 values allowed detecting renal injury during cirrhosis

Reconstructing large running-index inflaton potentials

Recent fits of cosmological parameters by the first year Wilkinson Microwave Anisotropy Probe (WMAP) measurement seem to favor a primordial scalar spectrum with a large varying index from blue to red. We use the inflationary flow equations to reconstruct large running-index inflaton potentials and comment on current status on the inflationary flow. We find previous negligence of higher order slow rolling contributions when using the flow equations would lead to unprecise results.Comment: Final version to appear in Class. Quant. Grav. References adde