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Multiple Rotation Type Solutions for Hamiltonian Systems on $T^\ell\times\mathbb{R}^{2n-\ell}$
Hui Qiao
Mathematics , 2010,
Abstract: This paper deals with multiplicity of rotation type solutions for Hamiltonian systems on $T^\ell\times \mathbb{R}^{2n-\ell}$. It is proved that, for every spatially periodic Hamiltonian system, i.e., the case $\ell=n$, there exist at least $n+1$ geometrically distinct rotation type solutions with given energy rotation vector. It is also proved that, for a class of Hamiltonian systems on $T^\ell\times\mathbb{R}^{2n-\ell}$ with $1\leqslant\ell\leqslant 2n-1$ but $\ell\neq n$, there exists at least one periodic solution or $n+1$ rotation type solutions on every contact energy hypersurface.
Multiple Forced rotations for the N-pendulum Equation
Hui Qiao
Mathematics , 2015,
Abstract: In this paper, we consider the planar forced N-pendulum equation. Multiple rotational solutions are obtained.
Rotational solutions of prescribed period of Hamiltonian systems on $\R^{2n-k}\ts T^k$
Hui Qiao
Mathematics , 2015,
Abstract: In this paper, we consider Hamiltonian systems on $\R^{2n-k}\ts T^k$. Multiple rotational solutions are obtained.
Effects of the CNTF-collagen gel-controlled delivery system on rat neural stem/progenitor cells behavior
ZhaoYang Yang,Hui Qiao,XiaoGuang Li
Science China Life Sciences , 2010, DOI: 10.1007/s11427-010-0093-5
Abstract: The injury of central nervous system (CNS) usually causes the cavity formation. Although transplantation of neural stem/precursor cells (NSPCs) into the lesioned area of CNS has been shown to be implicated in the functional restoration, the therapeutic result is limited by the poor survival of NSPCs as well as their insufficient proliferation and differentiation abilities. Type-1 collagen is considered as a candidate scaffold or drug delivery system to overcome the aforementioned obstacle. This study observed the effects of the CNTF (ciliary neurotrophic factor)-collagen gel-controlled delivery system and daily addition of soluble-form CNTF on the NSPC survival, migration, proliferation and differentiation. The results showed that, within 12 h of the initial co-culture, CNTF was released in a burst pattern, then the CNTF-collagen gel-controlled delivery system stably released CNTF for up to 12 d. The cell viability test, together with immunohistochemistry, RT-PCR and Western blotting, showed that the CNTF-collagen gel-controlled delivery system supported the NSPCs seeded on the surface of collagen gel survival and facilitated their migration and proliferation. The daily addition of soluble-form CNTF to the medium had similar effects to the CNTF-collagen gel-controlled delivery system, but large quantities of soluble-form CNTF were consumed during the entire process. Taken together, the CNTF-collagen gel-controlled delivery system not only provides a physical scaffold for the transplanted NSPCs to adhere and migrate, but also facilitates the NSPC survival, growth and proliferation, simultaneously reducing the consumption of the expensive growth factors. This system may be used to enhance the microenvironment in the lesioned area of CNS.
Simulation study on the effects of irrigation on soil salt and saline water exploration
灌溉对土壤盐分的影响及微咸水利用的模拟研究

QIAO Yu Hui,
乔玉辉

生态学报 , 2003,
Abstract: Based on the land use analysis model of PS123, the simulation of soil salts effects on crop growth is integrated in PS123 model con sidering osmotic stress of the salt effects on water uptake and production. This salt integrated crop model is more suitable to be used in salinity land and wa ter irrigation simulation. This model is calibrated with field experiments condu cted at Hebei Quzhou Experimental Station of China Agricultural University. But there are still some problems to be solved such as the simu...
An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation
Xiao Li,Zhonghua Qiao,Hui Zhang
Mathematics , 2015,
Abstract: In this work, the MMC-TDGL equation, a stochastic Cahn-Hilliard equation is solved numerically by using the finite difference method in combination with a convex splitting technique of the energy functional. For the non-stochastic case, we develop an unconditionally energy stable difference scheme which is proved to be uniquely solvable. For the stochastic case, by adopting the same splitting of the energy functional, we construct a similar and uniquely solvable difference scheme with the discretized stochastic term. The resulted schemes are nonlinear and solved by Newton iteration. For the long time simulation, an adaptive time stepping strategy is developed based on both first- and second-order derivatives of the energy. Numerical experiments are carried out to verify the energy stability, the efficiency of the adaptive time stepping and the effect of the stochastic term.
Convergence of a Fast Explicit Operator Splitting Method for the Molecular Beam Epitaxy Model
Xiao Li,Zhonghua Qiao,Hui Zhang
Mathematics , 2015,
Abstract: A fast explicit operator splitting (FEOS) method for the molecular beam epitaxy model has been presented in [Cheng, et al., Fast and stable explicit operator splitting methods for phase-field models, J. Comput. Phys., submitted]. The original problem is split into linear and nonlinear subproblems. For the linear part, the pseudo-spectral method is adopted; for the nonlinear part, a 33-point difference scheme is constructed. Here, we give a compact center-difference scheme involving fewer points for the nonlinear subproblem. Besides, we analyze the convergence rate of the algorithm. The global error order $\mathcal{O}(\tau^2+h^4)$ in discrete $L^2$-norm is proved theoretically and verified numerically. Some numerical experiments show the robustness of the algorithm for small coefficients of the fourth-order term for the one-dimensional case. Besides, coarsening dynamics are simulated in large domains and the $1/3$ power laws are observed for the two-dimensional case.
Nonlinear Process Modeling of Shell Heavy Oil Fractionator using Neural Network
Lee Qiao Hui,Liew Weng Hui,N. Aziz,Z. Ahmad
Journal of Applied Sciences , 2011,
Abstract: The identification of intrinsic characteristics on distillation column via dynamic modeling has been becoming indispensable in order to fulfill the increasingly stringent product quality and system regulations. Therefore, the aim of the study is to capture the complex dynamics and static interactions of input output using FANN in Shell heavy oil fractionators. With the case study on Shell heavy oil fractionator, artificial intelligence is employed to model the 7 operational outputs, where 3 of those are controlled outputs, named as top end point composition, side end point composition and bottoms reflux temperature. The training, testing and validation data for the single layer neural network are generated through the simulation with the presence of disturbances, process gain uncertainties, measurement of noise and step time variations. With Levenberg-Marquardt algorithm and early stopping method oriented network training, parameter iteration method is proposed and applied to iterate over 4 parameters where the representative pairing to generate optimum network prediction accuracy is selected. Based on sum squared error, residual error and correlation coefficient analysis, the network performance on the case of perfect case, high noise-influencing system, Multi Input Multi Output (MIMO) and highly uncertain system is greatly satisfying in terms of prediction accuracy and network robustness. The result shows that the neural network will always customize itself in nonlinear system and shows its ability in understanding the complex system dynamics with great learning efficiency.
A 19-year-old female with awkward hands, gait disturbance and hoarseness
QIAO Xiao-hui,QIAO Lei,PENG Bin,CUI Li-ying
Chinese Journal of Contemporary Neurology and Neurosurgery , 2013, DOI: 10.3969/j.issn.1672-6731.2013.03.019
Abstract:
Secondary succession of earthworm population in high production agro-ecosystem in North China
华北高产农田生态系统中蚯蚓种群次生演替规律

QIAO Yu-Hui,
乔玉辉

生态学报 , 2004,
Abstract: The study was conducted in Huantai County Shandong Province in North China to study the secondary succession of earthworm population under low and high soil fertility in agro-ecosystem. The result shows that seven species were found both in two agro-ecosystems, but the earthworm population density and composition are different, the average earthworm population in the high fertility soil is relatively abundance, the population density is 83.83 in./m~2. Among the seven earthworm species, Aporrectae trapezoids is the dominant species. While in the low fertility soil, the population density is 40.18 ind./m~2 and Drawida gisti is the dominant species. Comparing the density of each earthworm species in the two kinds of soil fertility agro-ecosystems, the density of Aporrectae trapezoids and Amynthas hupeiensis is significantly higher in the high fertility soil than that in the low fertility soil, while the difference of other five species is not obvious. This result shows that with the succession of the soil fertility, the earthworm also has a process of succession; the abundance species in the low fertility agro-ecosystem Drawida gisti is gradually substituted by Aporrectae trapezoids in the high fertility agro-ecosystem. One-year experiment was also conducted to study the impact of the organic input on earthworm population and succession. The result shows that with the increase of the organic input, the earthworm population density is increasing, the earthworm density of the treatments has the following ascending trend: Chemical fertilizer
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