By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gord...By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method.展开更多
Bleeding is a clinical characteristic of severe dengue and may be due to increased vascular permeability. However, the patho- genesis of severe dengue remains unclear. In this study, we showed that the Racl-microfilam...Bleeding is a clinical characteristic of severe dengue and may be due to increased vascular permeability. However, the patho- genesis of severe dengue remains unclear. In this study, we showed that the Racl-microfilament signal pathway was involved in the process of DENV serotype 2 （DENV2） infection in EAhy926 cells. DENV2 infection induced dynamic changes in actin organization, and treatment with Cytochalasin D or Jasplakinolide disrupted microfilament dynamics, reduced DENV2 entry, and inhibited DENV2 assembly and maturation. Racl activities decreased during the early phase and gradually increased by the late phase of infection. Expression of the dominant-negative form of Racl promoted DENV2 entry but inhibited viral as- sembly, maturation and release. Our findings demonstrated that Racl plays an important role in the DENV2 life cycle by reg- ulating actin reorganization in EAhy926 cells. This finding provides further insight into the pathogenesis of severe dengue.展开更多
By introducing the block estimate technique and directly using the Newton iteration method, the author constructs Cantor families of time periodic solutions to a class of nonlinear wave equations with periodic boundar...By introducing the block estimate technique and directly using the Newton iteration method, the author constructs Cantor families of time periodic solutions to a class of nonlinear wave equations with periodic boundary conditions. The Lyapunov-Schmidt decomposition used by J. Bourgain, W. Craig and C. E. Wayne is avoided. Thus this work simplifies their framework for KAM theory for PDEs.展开更多
文摘By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method.
基金supported by the National Key Programs on Basic Research of China (2011CB504703)the National Natural Science Foundations of China (81301435, 81471957, 81271839, 81401676)Beijing Natural Science Foundation (7144194)
文摘Bleeding is a clinical characteristic of severe dengue and may be due to increased vascular permeability. However, the patho- genesis of severe dengue remains unclear. In this study, we showed that the Racl-microfilament signal pathway was involved in the process of DENV serotype 2 （DENV2） infection in EAhy926 cells. DENV2 infection induced dynamic changes in actin organization, and treatment with Cytochalasin D or Jasplakinolide disrupted microfilament dynamics, reduced DENV2 entry, and inhibited DENV2 assembly and maturation. Racl activities decreased during the early phase and gradually increased by the late phase of infection. Expression of the dominant-negative form of Racl promoted DENV2 entry but inhibited viral as- sembly, maturation and release. Our findings demonstrated that Racl plays an important role in the DENV2 life cycle by reg- ulating actin reorganization in EAhy926 cells. This finding provides further insight into the pathogenesis of severe dengue.
基金the Special Funds for Major State Basic Research Projects of China theLaboratory of Mathematics for Nonlinear Sciences, Fuda
文摘By introducing the block estimate technique and directly using the Newton iteration method, the author constructs Cantor families of time periodic solutions to a class of nonlinear wave equations with periodic boundary conditions. The Lyapunov-Schmidt decomposition used by J. Bourgain, W. Craig and C. E. Wayne is avoided. Thus this work simplifies their framework for KAM theory for PDEs.
