Abstract:
We study the stability of the highest symmetric solution (Wigner-solution) of Dyson-Schwinger equations in chiral limit and at zero temperature. Our results confirm that if the chemical potential is not very large, the QCD vacuum is in the chiral symmetry breaking phase and the quantum phase-transition of the chiral symmetry restoration is in first order. Meanwhile it seems that there is not competition between chiral symmetry breaking phase and color superconductivity phase since the color superconductivity phase appears only if the chemical potential is very large. Moreover, we propose that chiral symmetry breaking arises from the positive feedback with respect to the mass perturbation.

Abstract:
By analyzing the calculated baryon number susceptibility ratios ${\chi_{1}^{B}}/{\chi_{2}^{B}}$ and ${\chi_{3}^{B}}/{\chi_{1}^{B}}$ in two-flavor system via the Dyson-Schwinger equation approach of QCD, we determine the chemical freeze-out temperature and baryon chemical potential in cases of both thermodynamic limit and finite size. We calculate the center-of-mass energy dependence of the ${\chi_{4}^{B}}/{\chi_{2}^{B}}\, (\kappa \sigma^{2})$ at the freeze-out line and find an excellent agreement with experimental data in $\sqrt{S_{NN}^{}} \geq 19.6\,$GeV region when taking into account the finite size effect. Our calculations indicate that the $\kappa \sigma^{2}$ exhibits a non-monotonic behavior in lower collision energy region.

Abstract:
Regeneration of transplantable pancreatic islet cells has been considered to be a promising alternative therapy for type 1 diabetes. Re-search has suggested that adult pancreatic stem and progenitor cells can be derived into insulin-producing cells or cultivated islet-like clusters given appropriate stimulating condi- tions. In this study we explored the effect of selective extracellular matrix (ECM) proteins on the potential of insulin-producing cell differen-tiation using ARIP cells, an adult rat pancreatic ductal epithelial cell line, as a model in vitro. Quantitative single cell morphology analysis indicated that all the four ECM proteins we have used (type I collagen, laminin, fibronectin and vitronectin) increased the single cell area and diameter of ARIP cells. In addition, se-rum-free cell cultivation was dependent on cell density and particular components; and serum could be replaced when systematic optimisa-tion could be performed. Surface treated with laminin was shown to be able to enhance overall cell expansion in the presence of de-fined serum-free medium conditions. Collagen treated surfaces enhanced insulin production in the presence of GLP-1 although the insulin gene expression was however weak accord-ingly. Our results suggest that selective ECM proteins have effects on single cell morphol-ogy, adhesion and proliferation of ARIP cells. These ECM molecules however do not have a potent effect on the insulin-producing cell dif-ferentiation potential of ARIP cells even com-bining with GLP-1.

Abstract:
In the present study, the 26-residue amphipathic α-helical peptide A12L/A20L (Ac-KWKSFLKTFKSLKKTVLHTLLKAISS-amide) with strong anticancer activity and specificity was used as the framework to study the effects of helicity of α-helical anticancer peptides on biological activities. Helicity was systematically modulated by introducing D-amino acids to replace the original L-amino acids on the non-polar face or the polar face of the helix. Peptide helicity was measured by circular dichroism spectroscopy and was demonstrated to correlate with peptide hydrophobicity and the number of D-amino acid substitutions. Biological studies showed that strong hemolytic activity of peptides generally correlated with high hydrophobicity and helicity. Lower helicity caused the decrease of anti-HeLa activity of peptides. By introducing D-amino acids to replace the original L-amino acids on the non-polar face or the polar face of the helix, we improved the therapeutic index of A12L/A20L against HeLa cells by 9-fold and 22-fold, respectively. These results show that the helicity of anticancer peptides plays a crucial role for biological activities. This specific rational approach of peptide design could be a powerful method to improve the specificity of anticancer peptides as promising therapeutics in clinical practices.

Abstract:
We propose applying cubic spline function to approximate the probability density function of the state of a navigation system.The weak solution of navigation stochastic differential model is described by the Kolmogorov's forward equation which is difficult to be solved.This article approaches its solution through cubic spline interpolation functions to obtain a prior probability density function of the state,and then a posterior probability density function is gained through the Bayes formula.Thus,the most ...

Abstract:
We derive a compact, semi-algebraic expression for the cold quark matter equation of state (EoS) in a covariant model that exhibits coincident deconfinement and chiral symmetry restoring transitions in-medium. Along the way we obtain algebraic expressions for: the number- and scalar-density distributions in both the confining Nambu and deconfined Wigner phases; and the vacuum-pressure difference between these phases, which defines a bag constant. The confining interaction materially alters the distribution functions from those of a Fermi gas and consequently has a significant impact on the model's thermodynamic properties, which is apparent in the EoS.

Abstract:
In general the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are mu-independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realise chiral symmetry in the Nambu-Goldstone mode and in the chiral limit, with increasing chemical potential, exhibit a first-order chiral symmetry restoring transition at mu~M(0), where M(p^2) is the dressed-quark mass function. There is evidence to suggest that any associated deconfinement transition is coincident and also of first-order.

Abstract:
By taking the particle triaxial-rotor model with variable moment of inertia, we investigate the energy spectra, the deformations and the single particle configurations of the nuclei $^{183,185,187}$Tl systemically. The calculated energy spectra agree with experimental data quite well. The obtained results indicate that the aligned bands observed in $^{183,185,187}$Tl originate from the $[530]{{1/2}}^{-}$, $[532]{{3/2}}^{-}$, $[660]{{1/2}}^{+}$ proton configuration coupled to a prolate deformed core, respectively. Whereas, the negative parity bands built upon the ${{9/2}}^{-}$ isomeric states in $^{183,185,187}$Tl are formed by a proton with the $[505]{{9/2}}^{-}$ configuration coupled to a core with triaxial oblate deformation, and the positive parity band on the ${{13/2}}^{+}$ isomeric state in $^{187}$Tl is generated by a proton with configuration $[606]{{13/2}}^{+}$ coupled to a triaxial oblate core.

Abstract:
We introduce a method based on the chiral susceptibility, which enables one to draw a phase diagram in the chemical-potential/temperature plane for strongly-interacting quarks whose interactions are described by any reasonable gap equation, even if the diagrammatic content of the quark-gluon vertex is unknown. We locate a critical endpoint (CEP) at (\mu^E,T^E) ~ (1.0,0.9)T_c, where T_c is the critical temperature for chiral symmetry restoration at \mu=0; and find that a domain of phase coexistence opens at the CEP whose area increases as a confinement length-scale grows.

Abstract:
We study the properties of the low-lying states at the critical point of the phase transition from U(3) to O(4) symmetry in the U(4) vibron model in detail. By analyzing the general characteristics and comparing the calculated results of the energy spectra and the E1, E2 transition rates in E(3) symmetry, in $r^4$ potential model and the finite boson number case in boson space, we find that the results in the $r^4$ potential demonstrates the characteristic of the classical limit at the critical point well and the E(3) symmetry over-predict the energy levels and under-predict the E1 and E2 transition rates of the states at the critical point. However, the E(3) symmetry may describe part of the properties of the system with boson number around 10 to 20. We also confirm that the 12C+12C system is an empirical evidence of the state at the critical point of the phase transition in the U(4) model when concerning the energies of the low-lying resonant states.