Let $C$ a non-empty, bounded, closed and convex subset of Banach space $X$, denote by $\ell\_{\infty}(C)$ the $\ell\_{\infty}$-sum $C$. In present paper, using degree nondensifiability (DND), we introduce class $r$-$\Delta$-DND-contraction maps $f: \ell\_{\infty}(C)\rightarrow X$ prove that if $f(\ell\_{\infty}(C))\subset C$ then there is some $x^{}\in with $f(x^{},x^{},\ldots,x^{},\ldots)=x^{\...

The aim of this work is two fold: first we extend some results concerning the computation fixed point index for sum an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to case $T+F$, where $T$ such that $(I-T)$ Lipschitz invertible $F$ contraction. Secondly, as illustration our theoretical results, study existence positive solutions classes differential equatio...

The aim of this study is to investigate the role of chaperonin-containing t-complex polypeptide 1 beta (CCT2) in the regulation of mouse mesangial cell (mMC) contraction, proliferation, and migration with filamentous/globular-(F/G-) actin ratio under high glucose induction. A low CCT2 mMC model induced by treatment of small interference RNA was established. Groups with and without low CCT2 indu...

Myosin II motors embedded within the actin cortex generate contractile forces to modulate cell shape in essential behaviors, including polarization, migration, and division. In sarcomeres, myosin II-mediated sliding of antiparallel F-actin is tightly coupled to myofibril contraction. By contrast, cortical F-actin is highly disordered in polarity, orientation, and length. How the disordered natu...

BACKGROUND AND PURPOSE The persistent sodium current is involved in myocardial ischaemia and is selectively inhibited by the newly described 3-(R)-[3-(2-methoxyphenylthio-2-(S)-methylpropyl]amino-3,4-dihydro-2H-1,5-benzoxathiepine bromhydrate (F 15845). Here, we describe the pharmacological profile of F 15845 against the effects of hypoxia in femoral arteries in vitro. EXPERIMENTAL APPROACH I...