Results 31 to 40 of about 70,362 (262)
Existence of Positive Radial Solutions for Elliptic Systems
This article is devoted to the study of the equation \(\partial\theta/\partial t=\text{div}({\mathcal R}\nabla p_t)+f\), where \(\theta(t,x)\) is the saturation, \(\mathcal R\) is the matrix \((a_{ij})=(\rho/\mu)\kappa_{ij}\), where the \(n\times n\)-matrix \((\kappa_{ij}(x))\) describes the permeability of the medium, \(\mu\) is the viscosity of the ...
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Take the A-Metric: Interpretations of Some Known Solutions of Einstein’s Vacuum Field Equations
In this work, we present a new interpretation of the only static vacuum solution of Einstein’s field equations with planar symmetry, the Taub solution. This solution is a member of the AIII class of metrics, along with the type D Kasner solution. Various
Charles W. Robson, Marco Ornigotti
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Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
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We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric.
Kubica Adam
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Investigating transcription factor dynamics in health and disease using FRAP
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
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In this paper we study the existence and asymptotic behavior of solutions of $$-\Delta u=\mu\frac{u}{|x|^{2}}+|x|^{\alpha}u^{p(\alpha)-1-\varepsilon},\qquad u>0 \ \text{in}\ B_{R}(0)$$ with Dirichlet boundary condition.
Shiyu Li, Gongming Wei, Xueliang Duan
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Identification of the plant mitochondrial OrfX protein: A mass spectrometry approach
The mitochondrial genome of plants contains an open reading frame, orfx, which encodes a rare protein that has so far escaped mass spectrometric detection. The protein resembles the c‐subunit of bacterial twin‐arginine‐motif‐dependent protein translocases (TatC).
Matthias Döring +3 more
wiley +1 more source
Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations
Three results concerning the radial symmetry and asymptotic behaviour at \(x=\infty\) of positive solutions of \[ \Delta u = \varphi(\mid x\mid)u^{\lambda}, \quad x\in \mathbb{R}^n \] and \(|x|\) large are presented. Here \(\lambda>1\) and \(\varphi(r)\) is positive and continuous for \(r\) large. There are three cases which are separately analysed: (I)
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