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Search Results: 1 - 10 of 208482 matches for " Yunkai Lü "
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Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
Kenneth L. Jones,Yunkai Chen
International Journal of Mathematics and Mathematical Sciences , 1999, DOI: 10.1155/s0161171299226439
Abstract: The generalized forced Boussinesq equation, utt ¢ ’uxx+[f(u)]xx+uxxxx=h0, and its periodic traveling wave solutions are considered. Using the transform z=x ¢ ’ ‰t, the equation is converted to a nonlinear ordinary differential equation with periodic boundary conditions. An equivalent relation between the ordinary differential equation and a Hammerstein type integral equation is then established by using the Green's function method. This integral equation generates compact operators in a Banach space of real-valued continuous periodic functions with a given period 2T. The Schauder's fixed point theorem is then used to prove the existence of solutions to the integral equation. Therefore, the existence of nonconstant periodic traveling wave solutions to the generalized forced Boussinesq equation is established.
Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation
Kenneth L. Jones,Xiaogui He,Yunkai Chen
International Journal of Mathematics and Mathematical Sciences , 2000, DOI: 10.1155/s0161171200004336
Abstract: This paper is concerned with periodic traveling wave solutions of the forced generalized nearly concentric Korteweg-de Vries equation in the form of (uη
Investigation on the Competition Interaction of Synthetic Food Colorants and Ciprofloxacin Hydrochloride with Bovine Serum Albumin by Fluorescence Spectroscopy
Baosheng Liu,Chao Yang,Jing Wang,Chunli Xue,Yunkai Lü
Journal of Thermodynamics , 2011, DOI: 10.1155/2011/137531
Abstract: The effects of synthetic food colorants like tartrazine (TTZ), sunset yellow (SY), and erythrosine (ETS) on the binding reaction between ciprofloxacin hydrochloride (CPFX) and bovine serum albumin (BSA) were investigated by fluorescence spectroscopy in the aqueous solution of pH = 7.40. Results showed that CPFX caused the fluorescence quenching of BSA through a static quenching procedure and the primary binding site was located at subdomain IIA of BSA (site I). According to the calculated thermodynamic parameters, it confirmed that CPFX bound to BSA by electrostatic interaction. In addition, the colorants affected the formation of BSA-CPFX complex. This resulted in an increase of the free, biological active fraction of CPFX. The binding distance of BSA-CPFX systems was evaluated according to Förster's theory. Results suggested that the binding distance were increased in the presence of synthetic food colorants.
Investigation on the Competition Interaction of Synthetic Food Colorants and Ciprofloxacin Hydrochloride with Bovine Serum Albumin by Fluorescence Spectroscopy
Baosheng Liu,Chao Yang,Jing Wang,Chunli Xue,Yunkai Lü
Journal of Thermodynamics , 2011, DOI: 10.1155/2011/137531
Abstract: The effects of synthetic food colorants like tartrazine (TTZ), sunset yellow (SY), and erythrosine (ETS) on the binding reaction between ciprofloxacin hydrochloride (CPFX) and bovine serum albumin (BSA) were investigated by fluorescence spectroscopy in the aqueous solution of pH = 7.40. Results showed that CPFX caused the fluorescence quenching of BSA through a static quenching procedure and the primary binding site was located at subdomain IIA of BSA (site I). According to the calculated thermodynamic parameters, it confirmed that CPFX bound to BSA by electrostatic interaction. In addition, the colorants affected the formation of BSA-CPFX complex. This resulted in an increase of the free, biological active fraction of CPFX. The binding distance of BSA-CPFX systems was evaluated according to F?rster's theory. Results suggested that the binding distance were increased in the presence of synthetic food colorants. 1. Introduction When drugs are absorbed, they enter the circulatory system and bind to serum albumin extensively and reversibly [1]. The effectiveness of drugs depends on their combination abilities. Binding of drugs to serum albumin has significance in pharmacology, since it controls their free concentrations and, as a consequence to the degree and time of action in the body, affects duration and intensity of their effects [2–4]. In other words, binding to serum albumin will significantly affect the distribution, metabolism, and excretion of drugs. Drugs are subjected to the influences of many factors in vivo, among which dietary habits cannot be ignored. Interactions between diet and drugs reflect the change of pharmacodynamics and the incompatibilities. There are various researches about the influences of sugar, wine, and tea on the efficacy of a medicine [5, 6]. However, researches about the effects of synthetic food colorants on medication have not been reported. Ciprofloxacin hydrochloride (CPFX, the structure is shown in Figure 1) which belongs to the third-generation synthetics of quinolones shows striking potency against enteric Gram-negative bacilli, lesser activity against nonenteric Gram-negative bacilli and staphylococci, and generally marginal activity against streptococci and anaerobes [7, 8]. It has received much attention because of its broad-spectrum pharmacological activities and extensive biological effects. Tartrazine (TTZ), sunset yellow (SY), and erythrosine (ETS, structures are shown in Figure 1) are common synthetic food colorants, which are widely used in food like drinks, candies, and in sugar-coated capsules for
Parallel Self-Consistent-Field Calculations via Chebyshev-Filtered Subspace Acceleration
Yunkai Zhou,Yousef Saad,Murilo L. Tiago,James R. Chelikowsky
Physics , 2007, DOI: 10.1103/PhysRevE.74.066704
Abstract: Solving the Kohn-Sham eigenvalue problem constitutes the most computationally expensive part in self-consistent density functional theory (DFT) calculations. In a previous paper, we have proposed a nonlinear Chebyshev-filtered subspace iteration method, which avoids computing explicit eigenvectors except at the first SCF iteration. The method may be viewed as an approach to solve the original nonlinear Kohn-Sham equation by a nonlinear subspace iteration technique, without emphasizing the intermediate linearized Kohn-Sham eigenvalue problem. It reaches self-consistency within a similar number of SCF iterations as eigensolver-based approaches. However, replacing the standard diagonalization at each SCF iteration by a Chebyshev subspace filtering step results in a significant speedup over methods based on standard diagonalization. Here, we discuss an approach for implementing this method in multi-processor, parallel environment. Numerical results are presented to show that the method enables to perform a class of highly challenging DFT calculations that were not feasible before.
Nearly conconcentric Korteweg-de Vries equation and periodic traveling wave solution
Yunkai Chen
International Journal of Mathematics and Mathematical Sciences , 1998, DOI: 10.1155/s0161171298000246
Abstract: The generalized nearly concentric Korteweg-de Vries equation [un+u/(2 ·)+u2u +u ] +u / ·2=0 is considered. The author converts the equation into the power Kadomtsev-Petviashvili equation [ut+unux+uxxx]x+uyy=0. Solitary wave solutions and cnoidal wave solutions are obtained. The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions and Poisson's summation formula.
Eigenvalue Computation from the Optimization Perspective: On Jacobi-Davidson, IIGD, RQI, and Newton Updates
Yunkai Zhou
Mathematics , 2004,
Abstract: We discuss the close connection between eigenvalue computation and optimization using the Newton method and subspace methods. From the connection we derive a new class of Newton updates. The new update formulation is similar to the well-known Jacobi-Davidson method. This similarity leads to simplified versions of the Jacobi-Davidson method and the inverse iteration generalized Davidson (IIGD) method. We prove that the projection subspace augmented by the updating direction from each of these methods is able to include the Rayleigh quotient iteration (RQI) direction. Hence, the locally quadratic (cubic for normal matrices) convergence rate of the RQI method is retained and strengthened by the subspace methods. The theory is supported by extensive numerical results. Preconditioned formulations are also briefly discussed for large scale eigenvalue problems.
The Evolution of Magnetism in Iron from the Atom to the Bulk
Murilo L. Tiago,Yunkai Zhou,M. M. G. Alemany,Yousef Saad,James R. Chelikowsky
Physics , 2006, DOI: 10.1103/PhysRevLett.97.147201
Abstract: The evolution of the magnetic moment in iron clusters containing 20 to 400 atoms is investigated using first-principles numerical calculations based on density-functional theory and real-space pseudopotentials. Three families of clusters are studied, characterized by the arrangement of atoms: icosahedral, body-centered cubic centered on an atom site, and body-centered cubic centered on the bridge between two neighboring atoms. We find an overall decrease of magnetic moment as the clusters grow in size towards the bulk limit. Clusters with faceted surfaces are predicted to have magnetic moment lower than other clusters with similar size. As a result, the magnetic moment is observed to decrease as function of size in a non-monotonic manner, which explains measurements performed at low temperatures.
OntoSlug: a dynamic visual front-end program for ontologies
Martin Telefont,Yunkai Liu
Bioinformation , 2008,
Abstract: The display of ontological information has become a crucial factor over the last decade in systems biology. The possibility to compare different ontological systems in a single application has however not been answered with an appropriate application. OntoSlug is an easy to use application that tries to fill this need. OntoSlug has been developed for use in classroom settings and scientific laboratory environment.
Ecologism in Interior Design
Ruizhou Liu,Yunkai Xu
Asian Social Science , 2009, DOI: 10.5539/ass.v4n2p88
Abstract: With the progress of our mankind, great changes have taken place in economy as well as our society, so have the natural environment and ecological system in which we live. Nowadays, we are faced with decreasing natural environment, forest, species, clean water, air and cultivable land. In addition, some urgent issues such as global warming, exhausted energy and widespread rubbish force us to reflect on our future life style. In this situation, interior designers are expected to introduce ecological ideas into their design to push it to a higher and advanced level, which will consequently promote the transformation of the employment of resources in architecture from the consumptive type to the recycled one.
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