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A Further Study of Almost Periodic Time Scales with Some Notes and Applications

Received 2 June 2014; Revised 10 July 2014; Accepted 13 July 2014; Published 7 August 2014 Academic Editor: Elena Braverman Copyright © 2014 Chao Wang and Ravi P. Agarwal. This is an open access article

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

650091, China Received 29 April 2011; Revised 27 July 2011; Accepted 25 August 2011 Academic Editor: Detlev Buchholz Copyright © 2011 Yongkun Li and Chao Wang. This is an open access article

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

, China Received 29 April 2011; Revised 27 July 2011; Accepted 25 August 2011 Academic Editor: Detlev Buchholz Copyright © 2011 Yongkun Li and Chao Wang. This is an open access article distributed

The correlation between lateralization of intracerebral hemorrhage in basal ganglia and handedness

PURPOSE: To investigate the correlation between lateralization of cerebral basal ganglia hemorrhage and handedness. METHODS: Medical records and computed tomography (CT) scans for 84 patients with primary hypertensive intracerebral hemorrhage (ICH) in basal ganglia were reviewed. Data of gender, age, handedness, and location of basal ganglia hematoma were statistically analyzed...

The role of pro-inflammatory S100A9 in Alzheimer’s disease amyloid-neuroinflammatory cascade

Pro-inflammatory S100A9 protein is increasingly recognized as an important contributor to inflammation-related neurodegeneration. Here, we provide insights into S100A9 specific mechanisms of action in Alzheimer’s disease (AD). Due to its inherent amyloidogenicity S100A9 contributes to amyloid plaque formation together with Aβ. In traumatic brain injury (TBI) S100A9 itself rapidly...

Nanoscale monitoring of drug actions on cell membrane using atomic force microscopy

Knowledge of the nanoscale changes that take place in individual cells in response to a drug is useful for understanding the drug action. However, due to the lack of adequate techniques, such knowledge was scarce until the advent of atomic force microscopy (AFM), which is a multifunctional tool for investigating cellular behavior with nanometer resolution under near-physiological...

Pioglitazone ameliorates memory deficits in streptozotocin-induced diabetic mice by reducing brain β-amyloid through PPARγ activation

-accelerated memory dysfunction via cerebrovascular Chao WANG, and Meng HU participated in behavioral tests inflammation and Abeta deposition in an Alzheimer mouse model with and Western blotting analysis; Qian

Identification of antiviral mimetic peptides with interferon α-2b-like activity from a random peptide library using a novel functional biopanning method

Aim:To screen for interferon (IFN) α-2b mimetic peptides with antiviral activity.Methods:Selecting IFN receptor-binding peptides from a phage-display heptapeptide library using a novel functional biopanning method. This method was developed to identify peptides with activity against vesicular stomatitis virus (VSV) inducing cytopathic effects on WISH cells.Results:Sixteen...

Growth suppression and radiosensitivity increase by HMGB1 in breast cancer

Aim:HMGB1 (high-mobility group box-1) is a nuclear protein containing a consensus RB (retinoblastoma)-binding LXCXE motif. In this study, we studied the potential association of HMGB1 and RB and the in vitro and in vivo activities of HMGB1 in human breast cancer cells.Methods:The protein-protein interaction was determined by immunoprecipitation-Western blotting and glutathione-S...

Compactness criteria and new impulsive functional dynamic equations on time scales

In this paper, we introduce the concept of Δ-sub-derivative on time scales to define ε-equivalent impulsive functional dynamic equations on almost periodic time scales. To obtain the existence of solutions for this type of dynamic equation, we establish some new theorems to characterize the compact sets in regulated function space on noncompact intervals of time scales. Also, by...

Changing-periodic time scales and decomposition theorems of time scales with applications to functions with local almost periodicity and automorphy

Chao Wang Ravi P Agarwal In this work, we address the periodic coverage phenomenon on arbitrary unbounded time scales and initiate a new idea, namely, we introduce the concept of changing-periodic time

Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations

In this paper, we use the analysis of relatively dense sets to point out some deficiencies and inaccuracies in the definition of uniformly almost periodic functions which has been proposed in recent works, and we correct it. Some new generalizations of invariance under translation time scales and almost periodic functions are established. Our study will ensure that now we can...

Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇-dynamic equations on time scales

In the present paper, by introducing the concept of equipotentially almost automorphic sequence, the concept of weighted piecewise pseudo almost automorphic functions on time scales is proposed. Some first results about their basic properties are obtained and some composition theorems are established. Then we apply these to investigate the existence of weighted piecewise pseudo...

Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales

Yongkun Li 0 Chao Wang 0 0 cn Department of Mathematics, Yunnan University Kunming , Yunnan 650091, People's Republic of China In this paper, we first introduce a concept of the mean-value of

Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales

Yongkun Li 0 Chao Wang 0 0 cn Department of Mathematics, Yunnan University Kunming , Yunnan 650091 , People's Republic of China In this paper, we first introduce a concept of the mean-value of

A matched space for time scales and applications to the study on functions

’ insightful comments to improve this manuscript. This work was done while Chao Wang was a visiting scholar at Texas A&M University-Kingsville. This work is supported by Youth Fund of NSFC (No. 11601470), Tian

Subloading Surface Model and Experimental Study of Coal Failure under Cyclic Loading

The fatigue damage of rock is an important factor affecting the stability of rock structure. In this paper, the mechanical response of coal under cyclic loading was studied. In order to accurately describe the deformation characteristics of coal under cyclic loading, an elastic-plastic model of coal based on the theory of subloading surface was established and verified by...

Identification of sulfation sites of metabolites and prediction of the compounds’ biological effects

Characterizing the biological effects of metabolic transformations (or biotransformation) is one of the key steps in developing safe and effective pharmaceuticals. Sulfate conjugation, one of the major phase II biotransformations, is the focus of this study. While this biotransformation typically facilitates excretion of metabolites by making the compounds more water soluble...