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We consider conformal gravity as a gauge natural theory. We study its conservation laws and superpotentials. We also consider the Mannheim and Kazanas spherically symmetric vacuum solution and discuss conserved quantities associated to conformal and diffeomorphism symmetries. 相似文献
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BackgroundOncogenic human papilloma viruses (HPV) are the cause of various types of cancer, specifically cervical cancer. L1 protein is the main protein of HPV capsid which targeted in many vaccine-producing attempts. However, they have not enough coverage on the various high risk HPV types. Therefore, having a low cost potent HPV vaccine to protect against all members of the α-papillomaviridea family will be promising. In this study, L1 protein-based peptide vaccine was designed using immunoinformatics methods which provides physicochemical properties such as stability in room temperature, potential of antigenicity, non-allergic properties and no requirement with eukaryotic host system.ResultsThe designed vaccine has two HPV conserved epitopes with lengths 18 and 27 amino acids in all members of α-papillomaviridea. These peptides promote humoral and cellular immunity and INF-γ responses. In order to ensure strong induction of immune responses, Flagellin, a Toll like receptor 5(TLR-5) agonist, and a short synthetic toll like receptor 4 (TLR-4) agonist were also joined to the epitopes. Structure of the designed- vaccine was validated using Rampage and ERRAT and a high quality 3D structure of the vaccine protein was provided. Docking studies demonstrated an appropriate and stable interaction between the vaccine and TLR-5.ConclusionsThe vaccine is expected to have a high quality structure and suitable properties including high stability, solubility and a high potential to be expressed in E.coli. High potentiality of the vaccine in inducing humoral and cellular immune responses, may be considered as an anti-tumor vaccine. 相似文献
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Shanshan Wang Luming Zhang Ran Fan 《Journal of Computational and Applied Mathematics》2011,235(8):1993-2005
In this paper, discrete-time orthogonal spline collocation schemes are proposed for the nonlinear Schrödinger equation with wave operator. These schemes are constructed by using orthogonal spline collocation approaches combined with finite difference methods. The conservative property, the convergence, and the stability of these methods are theoretically analyzed and also verified by extensive numerical experiments. In addition, some interesting phenomena which require further theoretical analysis are discussed numerically. 相似文献
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R. Naz 《Applied mathematics and computation》2010,215(9):3265-3270
When two circular jets impinge upon each other along the axis of a hemi-spherical shell then a free jet on a hemi-spherical shell is formed. The governing equations are Prandtl’s momentum boundary layer equation and the continuity equation. The conserved quantity is required for the free jet on a hemi-spherical shell. The conserved quantity for the free jet on a hemi-spherical shell is established with the help of a conserved vector. The group invariant solution for the third-order partial differential equation for the stream function is constructed. 相似文献
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The Euler equations with two controls are discretized by using the bilinear transformation method. The discrete equations are explicit and exhibit a sufficient number of conserved quantities for integrability. The explicit solution to the discrete controlled Euler top are deduced in terms of elliptic functions. 相似文献
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新的耦合mKdV方程族及其Liouville可积的无限维Hamilton结构 总被引:3,自引:0,他引:3
根据第Ⅱ屠格式,从一个特征值问题出发,本文推得了一族新的耦合mKdV方程,然后用迹恒等式人出了其无限维Hamilton结构。最后证明了该Hamilton方程族是Liouville可积的,并且有无穷多个彼此对合的公共守恒密度。 相似文献
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《Physics letters. A》2020,384(24):126454
Previous theoretical studies show that the spin current in spin-orbit coupled systems can be effectively conserved. In this study, we show that in the presence of an external magnetic field B perpendicular to the surface without causing Landau levels, the spin-Hall conductivity, including the conventional spin and spin-torque Hall currents exhibit an interesting symmetry, valid for k-linear and k-cubic Rashba systems. The phenomenon where the electric field generated spin z component is unaltered under is attributed to the fact that the spin precession is locked in spin-orbit coupled systems. The perpendicular magnetic field generates spin x and y components, which are linear to B, and thus, there is no time-reversal symmetry. This result provides evidence for the detection of the bulk spin-Hall current. Furthermore, the applied magnetic field breaks the degenerate point of the two-band model, and the resulting spin-Hall conductivity does not vanish even for systems with linear momentum, which implies that the Berry phase is not the principal mechanism in k-linear systems. The non-zero charge-Hall conductivity generated by the perpendicular magnetic field is discussed here. 相似文献
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In this paper, we couple the parareal algorithm with projection methods of the trajectory
on a specific manifold, defined by the preservation of some conserved quantities of
stochastic differential equations. First, projection methods are introduced as the coarse
and fine propagators. Second, we apply the projection methods for systems with conserved
quantities in the correction step of original parareal algorithm. Finally, three numerical
experiments are performed by different kinds of algorithms to show the property of convergence
in iteration, and preservation in conserved quantities of model systems. 相似文献