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A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition

The aim of this paper is to study a fourth-order separated boundary value problem with the right-hand side function satisfying one-sided Nagumo-type condition. By making a series of a priori estimates and applying lower and upper functions techniques and Leray-Schauder degree theory, the authors obtain the existence and location result of solutions to the problem.

Association between Common Variants near LBX1 and Adolescent Idiopathic Scoliosis Replicated in the Chinese Han Population

Background Adolescent idiopathic scoliosis (AIS) is one of the most common spinal deformities found in adolescent populations. Recently, a genome-wide association study (GWAS) in a Japanese population indicated that three single nucleotide polymorphisms (SNPs), rs11190870, rs625039 and rs11598564, all located near the LBX1 gene, may be associated with AIS susceptibility [1]. This...

Comprehensive N-Glycan Profiling of Cetuximab Biosimilar Candidate by NP-HPLC and MALDI-MS

Monitoring glycosylation of the mAbs have been emphasized and routinely characterized in biopharmaceutical industries because the carbohydrate components are closely related to the safety, efficacy, and consistency of the antibodies. In this study, the comprehensive glycan profiling of a biosimilar candidate of cetuximab was successfully characterized using Normal phase high...

Endoplasmic Reticulum Stress-Unfolding Protein Response-Apoptosis Cascade Causes Chondrodysplasia in a col2a1 p.Gly1170Ser Mutated Mouse Model

The collagen type II alpha 1 (COL2A1) mutation causes severe skeletal malformations, but the pathogenic mechanisms of how this occurs are unclear. To understand how this may happen, a col2a1 p.Gly1170Ser mutated mouse model was constructed and in homozygotes, the chondrodysplasia phenotype was observed. Misfolded procollagen was largely synthesized and retained in dilated...

Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space

This paper is devoted to the study of the existence of solutions to a general elliptic problem , with and , where is a Leray-Lions operator from a weighted Sobolev space into its dual and is a nonlinear term satisfying , , and a growth condition with respect to . Here, , are weight functions that will be defined in the Preliminaries.

Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent

The authors investigate a degenerate parabolic equation with delay and nonlocal term, which describes slow diffusive processes in physics or biology. The existence of a nonnegative nontrivial periodic solution is obtained through the use of the Leray-Schauder degree method.MSC: 35D05, 35K55.

Existence of solutions for nonlocal p-Laplacian thermistor problems on time scales

In this paper, a nonlocal initial value problem to a p-Laplacian equation on time scales is studied. The existence of solutions for such a problem is obtained by using the topological degree method.

Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms

The authors of this paper deal with the existence of weak solutions to the homogenous boundary value problem for the equation −div(|∇u|p−2∇u)=f(x)uα with f∈Lm(Ω) and α⩾1. The authors prove the existence of solutions in W01,p(Ω) for suitable m and α.MSC: 35J62, 35B25, 76D03.

Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents

The authors of this paper study a nonlinear viscoelastic equation with variable exponents. By using the Faedo-Galerkin method and embedding theory, the existence of weak solutions is given to the initial and boundary value problem under suitable assumptions.

Existence,uniqueness, and nonexistence of solutions to nonlinear diffusion equations with p ( x , t ) -Laplacian operator

The aim of this paper is to deal with the existence and nonexistence of weak solutions to the initial and boundary value problem for u t = div ( | ∇ u | p ( x , t ) − 2 ∇ u + b ( x , t ) ∇ u ) + f ( u ) . By constructing suitable function spaces and applying the method of Galerkin’s approximation as well as weak convergence techniques, the authors prove the existence of local...

Extinction and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity

The aim of this paper is to study the existence and extinction of weak solutions of the initial and boundary value problem for u t = div ( ( | u | σ ( x , t ) + d 0 ) | ∇ u | p ( x , t ) − 2 ∇ u ) + f ( x , t , u ) . First, the authors apply the method of parabolic regularization and Galerkin’s method to prove the existence of solutions to the problem mentioned and then obtain...

Melatonin rescued interleukin 1β-impaired chondrogenesis of human mesenchymal stem cells

BackgroundOsteoarthritis (OA) is a widespread arthritic disease and a primary cause of disability. Increasing evidence suggests that inflammation has a pivotal part in its pathogenesis. Interleukin-1β (IL-1β) is a primary mediator of local inflammatory processes in OA. Current therapies for OA mainly focus on the symptoms of the advanced stage of the disease. The possible...

Normal Leptin Expression, Lower Adipogenic Ability, Decreased Leptin Receptor and Hyposensitivity to Leptin in Adolescent Idiopathic Scoliosis

Leptin has been suggested to play a role in the etiology of Adolescent Idiopathic Scoliosis (AIS), however, the leptin levels in AIS girls are still a discrepancy, and no in vitro study of leptin in AIS is reported. We took a series of case-control studies, trying to understand whether Leptin gene polymorphisms are involved in the etiology of the AIS or the change in leptin level...

Recurrent complex spinal tuberculosis accompanied by sinus tract formation: causes of recurrence and clinical treatments

Road, Xi’an, 710054, Shanxi, ChinaBiao Wang, Lingbo Kong, Ziqi Zhu, Wenjie Gao, Hua Guo, Xiaodong Wang, Hui Li, Qinpeng Zhao, Haiping Zhang & Dingjun Hao AuthorsSearch for Biao Wang in:Nature Research ... journals • PubMed • Google Scholar Search for Lingbo Kong in:Nature Research journals • PubMed • Google Scholar Search for Ziqi Zhu in:Nature Research journals • PubMed • Google Scholar Search for Wenjie

Selection of surgical treatment approaches for cervicothoracic spinal tuberculosis: A 10-year case review

, Lingbo Kong. Formal analysis: Ruize Yang. Investigation: Dingjun Hao, Wenjie Gao, Lingbo Kong. Methodology: Dingjun Hao, Biao Wang. Project administration: Biao Wang. Resources: Biao Wang, Hua Guo ... , Yongyi Wang. Software: Wenjie Gao, Hua Guo. Supervision: Biao Wang, Lingbo Kong. Validation: Lingbo Kong. Visualization: Wenjie Gao, Hua Guo. Writing ± original draft: Ziqi Zhu, Biao Wang. Writing

Study of solutions to an initial and boundary value problem for certain systems with variable exponents

In this paper, the existence and blow-up property of solutions to an initial and boundary value problem for a nonlinear parabolic system with variable exponents is studied. Meanwhile, the blow-up property of solutions for a nonlinear hyperbolic system is also obtained.