Results 51 to 60 of about 601,728 (278)
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Complexity, 2020 In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs). Firstly, under the condition of weighted Hölder continuity, the existence and two estimates of classical solutions are obtained by virtue of the properties of ...
Jia Mu, Yang Liu, Huanhuan Zhang
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Spherically Restricted Random Hyperbolic Diffusion
Entropy, 2020 This paper investigates solutions of hyperbolic diffusion equations in R 3 with random initial conditions. The solutions are given as spatial-temporal random fields. Their restrictions to the unit sphere S 2 are studied.
Philip Broadbridge +4 more
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Hölder continuity of Keller-Segel equations of porous medium type coupled to fluid equations [PDF]
, 2017 We consider a coupled system consisting of a degenerate porous medium type of Keller–Segel system and Stokes system modeling the motion of swimming bacteria living in fluid and consuming oxygen.
Yun-Sung Chung +3 more
semanticscholar +1 more source
Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity [PDF]
Advances in Mathematics, 2018 We study a priori estimates for a class of non-negative local weak solution to the weighted fast diffusion equation $u_t = |x|^{\gamma} \nabla\cdot (|x|^{-\beta} \nabla u^m)$, with $0 < m
M. Bonforte, N. Simonov
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AAA+ protein unfoldases—the Moirai of the proteome
FEBS Letters, EarlyView.AAA+ unfoldases are essential molecular motors that power protein degradation and disaggregation. This review integrates recent cryo‐electron microscopy (cryo‐EM) structures and single‐molecule biophysical data to reconcile competing models of substrate translocation.
Stavros Azinas, Marta Carroni
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Electronic Journal of Differential Equations, 2015 We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with ...
Junichi Aramaki
doaj
Gradient estimates for the fundamental solution of Lévy type operator
Advances in Nonlinear Analysis, 2020 We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.
Liu Wei, Song Renming, Xie Longjie
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Boundary Value Problems, 2023 In this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential p ≥ 2 $p\geq 2$ , the regularity results of the partial Hölder continuity of weak solutions are ...
Yan Zhu, Jialin Wang, Dongni Liao
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Molecular Oncology, EarlyView.Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano +6 more
wiley +1 more source