Results 81 to 90 of about 5,326,818 (348)
Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma+8 more
wiley +1 more source
The skew mean curvature flow (SMCF), which origins from the study of fluid dynamics, describes the evolution of a codimension two submanifold along its binormal direction. We study the basic properties of the SMCF and prove the existence of a short-time solution to the initial value problem of the SMCF of compact surfaces in Euclidean space [Formula ...
Chong Song, Jun Sun
openaire +3 more sources
On the extension of the mean curvature flow [PDF]
Consider a family of smooth immersions $F(\cdot,t): M^n\to \mathbb{R}^{n+1}$ of closed hypersurfaces in $\mathbb{R}^{n+1}$ moving by the mean curvature flow $\frac{\partial F(p,t)}{\partial t} = -H(p,t)\cdot (p,t)$, for $t\in [0,T)$. In \cite{Cooper} Cooper has recently proved that the mean curvature blows up at the singular time $T$. We show that if
Nam Q. Le, Natasa Sesum, Natasa Sesum
openaire +3 more sources
The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy ...
Akopyan Arsenyi, Edelsbrunner Herbert
doaj +1 more source
On a Surface Associated to the Catalan Triangle
We define a surface that interpolates the ballot numbers in the Catalan triangle corresponding to every pair of nonnegative integers (except for the origin).
Marilena Jianu+5 more
doaj +1 more source
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source
Constant mean curvature surfaces with circular boundary in R³
In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors.
Pedro A. Hinojosa
doaj +1 more source
Characterizations of Unit Darboux Ruled Surface with Quaternions
This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains
Abdussamet Çalışkan
doaj +1 more source
The Saccharomyces cerevisiae amino acid transporter Lyp1 has a broad substrate spectrum
In Saccharomyces cerevisiae, Yeast Amino acid Transporter family members mediate the import of amino acids, ranging from substrate specialists to generalists. Here, we show that the specialist transporter, Lyp1, has a broader substrate spectrum than previously described, with affinity constants spanning from micromolar to millimolar.
Foteini Karapanagioti+3 more
wiley +1 more source
Submanifolds of Euclidean space with parallel mean curvature vector
The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
doaj +1 more source