Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...

Microtubules (MTs) have been proposed to act mechanically as compressive struts that resist both actomyosin contractile forces and their own polymerization forces to mechanically stabilize cell shape. To identify the origin of MT bending, we directly observed MT bending and F-actin transport dynamics in the periphery of LLC-PK1 epithelial cells. We found that F-actin is nearly stationary in the...

During the first extended shutdown of the LHC, in 2013 and 2014, the ATLAS detector has undergone several improvements. A new silicon pixel detector layer has been added inside of the existing layers, enhancing vertex identification, while the coverage of the muon detector has been significantly expanded. Many other detector systems have been upgraded to handle the higher expected pileup condit...

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...

We provide new combinatorial theorems on the structure of graphs that are contained as contractions in graphs of large treewidth. As a consequence of our combinatorial results we unify and significantly simplify contraction bidimensionality theory—the meta algorithmic framework to design efficient parameterized and approximation algorithms for contraction closed parameters.

A cylindrical rubber fiber subject to a twist will also elongate: manifestation of Poynting’s effect in large strain elasticity. Here, we construct an analogous treatment for active actuated via axisymmetric pattern spontaneous distortion. We start by constructing exact large-deformation solution the equations elasticity such imposed and stretch, which reveals warping twisting cross section abs...

The volume contraction in dissipative reversible transitive Anosov flows obeys a large deviation rule (fluctuation theorem).

Muscle force is potentiated by countermovement; this phenomenon is called stretch-shortening cycle (SSC) effect. In this study, we examined the factors strongly related to SSC effect in vivo, focusing on tendon elongation, preactivation, and residual force enhancement. Twelve healthy men participated in this study. Ankle joint angle was passively moved by a dynamometer, with a range of motion f...

The wetting properties of multicomponent liquids are crucial to numerous industrial applications. mechanisms that determine the contact angles for such remain poorly understood, with many intricacies arising due complex physical phenomena, example, presence surfactants. Here, we consider two-component drops consist mixtures vicinal alkanediols and water. These diols behave surfactant-like in Ho...

In this work, we applied Chebychev spectral collocation method to analyze the unsteady two-dimensional flow of nanofluid in a porous channel through expanding or contracting walls with large injection or suction. The solutions are used to study the effects of various parameters on the flow of the nanofluid in the porous channel. From the analysis, It was established that increase in expansion r...