Results 71 to 80 of about 3,715,226 (283)

Nonexistence of positive global solutions to the differential equation $u''(t)-t^{-p-1} u^{p}=0$

open access: yesElectronic Journal of Differential Equations, 2016
A blow-up result for positive solutions to the differential equation $u''(t)-t^{-p-1} u^{p}=0$ is derived. Our result is different from the one obtained in the [1], and our conditions are less restrictive.
Ahmed Alsaedi, Bashir Ahmad
doaj  

The anti‐CRISPR protein AcrIE8.1 inhibits the type I‐E CRISPR‐Cas system by directly binding to the Cascade subunit Cas11

open access: yesFEBS Letters, EarlyView.
In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
wiley   +1 more source

An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots

open access: yesFEBS Letters, EarlyView.
This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino   +7 more
wiley   +1 more source

Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$

open access: yesElectronic Journal of Differential Equations, 2016
In this article we consider the ordinary differential equation $$ u'' -t^{-p-1} u^p =0. $$ We show the blow-up for solutions of this equation, under certain on the initial data.
Meng-Rong Li   +3 more
doaj  

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

open access: yesDemonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Dynamics of Hepatitis B Virus Transmission with a Lévy Process and Vaccination Effects

open access: yesMathematics
This work proposes a novel stochastic model describing the propagation dynamics of the hepatitis B virus. The model takes into account numerous disease characteristics, and environmental disturbances were collected using Lévy jumps and the conventional ...
Sayed Murad Ali Shah   +3 more
doaj   +1 more source

A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins

open access: yesFEBS Letters, EarlyView.
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue   +6 more
wiley   +1 more source

Critical exponent for a damped wave system with fractional integral

open access: yesElectronic Journal of Differential Equations, 2015
We shall present the critical exponent $$ F(p, q,\alpha):=\max\big\{\alpha+\frac{(\alpha+1)(p+1)}{pq-1}, \alpha+\frac{(\alpha+1)(q+1)}{pq-1}\big\}-\frac{1}{2} $$ for the Cauchy problem $$\displaylines{ u_{tt}-u_{xx}+u_t=J_{0|t}^{\alpha}(|v|^{p}),
Mijing Wu, Shengjia Li, Liqing Lu
doaj  

Hematopoietic (stem) cells—The elixir of life?

open access: yesFEBS Letters, EarlyView.
The aging of HSCs (hematopoietic stem cells) and the blood system leads to the decline of other organs. Rejuvenating aged HSCs improves the function of the blood system, slowing the aging of the heart, kidney, brain, and liver, and the occurrence of age‐related diseases.
Emilie L. Cerezo   +4 more
wiley   +1 more source

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