We consider a conservation law model of traffic flow, where the velocity each car depends on weighted average density $\rho$ ahead. The averaging kernel is exponential type: $w_\varepsilon (s)=\varepsilon^{-1} e^{-s / \varepsilon}$. For any decreasing function $v$, we prove that, as $\varepsilon \to 0$, limit solutions to nonlocal equation coincides with unique entropy-admissible solution scala...

A mapping j : GF(q) --> GF(q) is called planar if for every nonzero a. E GF(q) the difference mapping D I.a : x I-t j(x + a) j(x) j(a) is a permutation of GF(q). In this note we show that for certain choices of (3, 'Y the mapping j(:z;) = Tl'({3x CJ+1 ) + -fX~ is planar on GF(q~-J).

We apply the method of QCD sum rules to study $s q \bar s q$ tetraquark states with exotic quantum number $J^{PC} = 3^{-+}$, and extract mass lowest-lying state be $2.33^{+0.19}_{-0.16}$ GeV. To construct relevant currents we need explicitly add covariant derivative operator. Our systematical analysis on their interpolating indicates that: a) this well decays into $P$-wave $\rho\phi/\omega\phi$...

This article is part of a Minifocus on Adhesion. For further reading, please see related articles: ‘Cycling around cell–cell adhesion with Rho GTPase regulators’ by Jessica McCormack et al. (J. Cell Sci. 126, 379391). ‘E-cadherin–integrin crosstalk in cancer invasion and metastasis’ by Marta Canel et al. (J. Cell Sci. 126, 393-401). ‘Mechanosensitive systems at the cadherin– F-actin interface’ ...

Rho-kinase is a serine threonine kinase that increases vasomotor tone via its effects on both endothelium and smooth muscle. Rho-kinase inhibition reduces cerebral infarct size in wild type, but not endothelial nitric oxide synthase deficient (eNOS-/-) mice. The mechanism may be related to Rho-kinase activation under hypoxic/ischemic conditions and impaired vasodilation because of downregulatio...

Glueballs remain an experimentally undiscovered expectation of QCD. Lattice QCD (As well as other theoretical approaches) predicts a spectrum glueballs, with the tensor (${J}^{PC}={2}^{++}$) glueball being second lightest, behind scalar glueball. Here, using chiral hadronic model, we compute decay ratios into various meson channels. We find to primarily two vector mesons, dominated by $\ensurem...

The rhodopsin gene (RHO) encodes a highly expressed G protein-coupled receptor (GPCR) which is central to visual transduction in rod photoreceptors. A suite of recombinant 2/5 adeno-associated virus (AAV) RHO replacement vectors has been generated in an attempt to recapitulate endogenous rhodopsin levels from exogenously delivered AAV vectors in the retina of mice with a targeted disruption in ...

BACKGROUND Constriction of the ductus arteriosus (DA) is initiated at birth by inhibition of O2-sensitive K+ channels in DA smooth muscle cells. Subsequent membrane depolarization and calcium influx through L-type calcium channels initiates functional closure. We hypothesize that Rho-kinase activation is an additional mechanism that sustains DA constriction. METHODS AND RESULTS The effect of ...

We investigate asymptotic behavior of polynomials $$ Q_n(z) satisfying non-Hermitian orthogonality relations $$\begin{aligned} \int _\Delta s^kQ_n(s)\rho (s)\textrm{d}s =0, \quad k\in \{0,\ldots ,n-1\}, \end{aligned}$$ where \Delta is a Chebotarëv (minimal capacity) contour connecting three non-collinear points and \rho (s) Jacobi-type weight including possible power-type singularity at the cen...