Results 91 to 100 of about 307,888 (268)
HDAC4 regulates apoptosis in Acan‐CreERT2;HDAC4d/d mice with osteoarthritis by downregulating ATF4
Using the AcanCreERT2;HDAC4fl/fl genetic mouse model, we further investigated the role of histone deacetylase 4 (HDAC4) in chondrocyte apoptosis. We found that knocking down HDAC4 may be associated with chondrocyte apoptosis by upregulating the activating transcription factor 4 (ATF4)/CAAT/enhancer binding protein homologous (CHOP) signaling pathway ...
Jingrui Huang+11 more
wiley +1 more source
Neutral functional differential equations of second-order with infinite delays
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
doaj
Acoustic Propagation in lined ducts with varying cross-section using a Mild-Slope approximation [PDF]
A modelling of low-frequency sound propagation in slowly varying ducts with smoothly varying lining is proposed leading to an acoustic mild-slope equation analogue to the with mild-slope equation for water waves. This simple 1D Mild Slope Equation is derived by direct application of the Galerkin method. It is shown that the acoustic mild-slope equation
arxiv
On mild and weak solutions of elliptic-parabolic problems
We consider an elliptic-parabolic equation in divergence form $b(v)_t = \text{div}\alpha(v, Dv)+ f$ with Dirichlet boundary conditions and initial condition. Under rather general assumptions, we prove existence of mild solutions satisfying an $L^1$-comparison principle; under some additional conditions, these solutions are shown to be weak solutions ...
Benilan, Philippe, Wittbold, Petra
openaire +2 more sources
FAM136A depletion upregulated ROS production, reduced mitochondrial membrane potential (ΔΨ) and ATP production, and upregulated expression of PCK1, PCK2, HMGCS1, and HMGCS2. The expression of both TOMM22 and TOMM20 was also upregulated. FAM136A depletion reduced HCCS that produce holocytochrome c by combining heme to apocytochrome c, and reduced the ...
Yushi Otsuka, Masato Yano
wiley +1 more source
Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces [PDF]
In this paper, we establish the uniquely existence of the global mild solution to the nematic liquid crystal equations in Besov-Morrey spaces. Some self-similarity and large time behavior of the global mild solution are also investigated.
arxiv
IDMF is a derivative of dimethyl fumarate (DMF) with a unique therapeutic potential at the intersection of psoriasis and multiple sclerosis. Here, we demonstrate that it compares favorably with DMF and its other derivatives, such as Diroximel, in the zebrafish, microglia, and lymphocyte models.
Yulin He+5 more
wiley +1 more source
Existence of the solution to a nonlocal-in-time evolutional problem
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Volodymyr Makarov+2 more
doaj +1 more source
Impulsive fractional differential inclusions with state-dependent delay [PDF]
In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
doaj
Existence of mild solutions for fractional neutral evolution equations
AbstractIn this paper, by using the fractional power of operators and some fixed point theorems, we discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain various criteria on the existence and uniqueness of mild solutions. In the end, we give an example to illustrate the applications of the abstract results.
Feng Jiao, Yong Zhou
openaire +2 more sources