Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality

We consider Einstein-Horndeski-Maxwell gravity, together with a cosmological constant and multiple Horndeski axions. We construct charged AdS planar black holes in general dimensions where the Horndeski anxions span over the planar directions. We analyse the thermodynamics and obtain the black hole volumes. We show that the reverse isoperimetric inequality can be violated, implying that these black holes can store information more efficiently than the Schwarzschild black hole.Comment: Latex, 25 pages, 1 figure, references adde

KCRC-LCD: Discriminative Kernel Collaborative Representation with Locality Constrained Dictionary for Visual Categorization

We consider the image classification problem via kernel collaborative representation classification with locality constrained dictionary (KCRC-LCD). Specifically, we propose a kernel collaborative representation classification (KCRC) approach in which kernel method is used to improve the discrimination ability of collaborative representation classification (CRC). We then measure the similarities between the query and atoms in the global dictionary in order to construct a locality constrained dictionary (LCD) for KCRC. In addition, we discuss several similarity measure approaches in LCD and further present a simple yet effective unified similarity measure whose superiority is validated in experiments. There are several appealing aspects associated with LCD. First, LCD can be nicely incorporated under the framework of KCRC. The LCD similarity measure can be kernelized under KCRC, which theoretically links CRC and LCD under the kernel method. Second, KCRC-LCD becomes more scalable to both the training set size and the feature dimension. Example shows that KCRC is able to perfectly classify data with certain distribution, while conventional CRC fails completely. Comprehensive experiments on many public datasets also show that KCRC-LCD is a robust discriminative classifier with both excellent performance and good scalability, being comparable or outperforming many other state-of-the-art approaches

Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures

The system of Bose-Fermi superfluid mixture offers a playground to explore rich macroscopic quantum phenomena. In a recent experiment of Yao {\it et al.} [Phys. Rev. Lett. {\bf 117}, 145301 (2016)], $^{41}$K-$^{6}$Li superfluid mixture is implemented. Coupled quantized vortices are generated via rotating the superfluid mixture, and a few unconventional behaviors on the formations of vortex numbers are observed, which can be traced to boson-fermion interactions. Here we provide a theoretical insight into the unconventional behaviors observed in the experiment. To this end, the orbital-free density functional theory is hired, and its utility is validated by making comparison of numerical results and full microscopic theory for vortex lattices in strongly interacting Fermi superfluids alone. We also predict interesting phenomena which can be readily explored experimentally, including the novel structures of vortex lattices in Bose-Fermi superfluid mixtures in phase-separated regimes, and attractive interactions between vortex lines belonging to distinct superfluids.Comment: 27 pages, 9 figures, Submission to SciPost Physic

Fast SLM-based linear and nonlinear structured illumination microscopy

Fluorescent microscopy becomes an essential tool for medical and biological investigations due to its major advantages of allowing for minimally invasive observation and rapid optical imaging. It is also a highly desirable tool to study the three dimensional interior of living specimens at a small scale. However, the resolution of optical systems is fundamentally limited by the diffraction of light, which consequently coins the development of super-resolution imaging methods. Structured illumination microscopy (SIM) is one of the super-resolution techniques. SIM provides a two-fold lateral resolution improvement for those types of samples where the fluorescence emission intensity depends linearly on the intensity of the illumination pattern. The concept of SIM is based on the Moiré effect. A structured illumination pattern is projected into the sample and high spatial frequency components of the biological sample, which are normally above the cut-off frequency of the optical transfer function and therefore lost, are then down-modulated to low spatial frequencies that reside inside the passband of the optical transfer function of the microscope. Typically, a lateral resolution of 100 nm becomes achievable in SIM. SIM is a wide-field technique and thus allows fast acquisition of large fields of view. This work discusses methods to improve the acquisition speed of SIM and to further enhance the resolution beyond the usual factor of two using nonlinear SIM (NL-SIM). Improvement of the acquisition speed is achieved by exploiting the advantages of a ferroelectric spatial light modulator (SLM) which offers fast switching of the illumination pattern, a modern sCMOS camera which provides fast readout and a novel synchronization approach between the different opto-electronical components

Ameliorative effect of Draba nemorosa extract on chronic heart failure in rats

Purpose: To evaluate the effect of Draba nemorosa extract (DNE) on oxidative stress and hemodynamics in rats with chronic congestive heart failure (CHF).Methods: Adriamycin was used to establish CHF in Sprague Dawley (SD) rat model. Six groups of SD rats were used in this study: control group, CHF group, captopril group (0.1 g/kg), as well as high-, medium- and low-dose DNE groups (5.2, 2.6 and 1.3 g/kg, respectively). Treatment for all groups lasted 4 weeks. Blood pressure and heart index were measured. In addition, serum creatine kinase (CK), superoxide dismutase (SOD), malondialdehyde (MDA), nitric oxide (NO) and nitric oxide synthase (NOS) were determined with enzyme-linked immunosorbent assay (ELISA) kits.Results: In the CHF group, arterial systolic pressure (SBP, 84.22 ± 16.23 mmHg); diastolic pressure (DBP, 77.36 ± 20.29 mmHg); mean arterial pressure (MAP, 78.45 ± 10.56 mmHg); heart rate (HR, 357.18 ± 37.34 beats/min) and left ventricular systolic peak (LVSP, 102.34 ± 16.37 mmHg) were significantly decreased (p < 0.05) when compared with the control group. However, left ventricular end diastolic pressure (LVEDP, 23.38 ± 1.78 mmHg); heart index (2.74 ± 0.16 mg/g); serum CK (0.87 ± 0.15 U/mL); MDA (19.34 ± 2.57 nmol/mL), NO (38.43 ± 3.32 umol/L) and NOS (42.65 ± 3.32 U/mL) were increased. Treatment with high-dose DNE significantly ameliorated hemodynamic function, and reduced MDA (9.13 ± 2.12 nmol/mL) and NO (22.37 ± 3.16 umol/L) levels (p < 0.05). High-dose DNE also led to significant decreases in CK (0.53 ± 0.35 U/mL) and NOS (24.27 ± 3.55U/mL) in the CHF rats (p < 0.05).Conclusion: DNE significantly improves hemodynamic function in CHF rats. Thus, it has a potential for development into a new drug for clinical treatment of CHF.Keywords: Draba nemorosa, Adriamycin, Chronic heart failure, Hemodynamic function, Oxidative stres