Convex-Cyclic Weighted Translations On Locally Compact Groups

A bounded linear operator $T$ on a Banach space $X$ is called a convex-cyclic operator if there exists a vector $x \in X$ such that the convex hull of $Orb(T, x)$ is dense in $X$. In this paper, for given an aperiodic element $g$ in a locally compact group $G$, we give some sufficient conditions for a weighted translation operator $T_{g,w}: f \mapsto w\cdot f*\delta_g$ on $\mathfrak{L}^{p}(G)$ to be convex-cyclic. A necessary condition is also studied. At the end, to explain the obtained results, some examples are given

Stress relaxation in epithelial monolayers is controlled by the actomyosin cortex

Epithelial monolayers are one-cell thick tissue sheets that separate internal and external environments. As part of their function, they have to withstand extrinsic mechanical stresses applied at high strain rates. However, little is known about how monolayers respond to mechanical deformations. Here, by subjecting suspended epithelial monolayers to stretch, we find that they dissipate stresses on a minute time-scale in a process that involves an increase in monolayer length, pointing to active remodelling of cell architecture during relaxation. Strikingly, monolayers consisting of tens of thousands of cells relax stress with similar dynamics to single rounded cells and both respond similarly to perturbations of actomyosin. By contrast, cell-cell junctional complexes and intermediate filaments do not relax tissue stress, but form stable connections between cells, allowing monolayers to behave rheologically as single cells. Taken together our data show that actomyosin dynamics governs the rheological properties of epithelial monolayers, dissipating applied stresses, and enabling changes in monolayer length.Peer ReviewedPostprint (published version

A truss element for modelling reversible softening in living tissues

We resort to non-linear viscoelasticity to develop a truss element able to model reversible softening in lung epithelial tissues undergoing transient stretch. Such a Maxwell truss element is built by resorting to a three-noded element whose mid-node is kinematically constrained to remain on the line connecting the end-nodes. The whole mechanical system undergoes an additive decomposition of the strains along the truss direction where the total contribution of the mid-node is accounted for by using a null-space projection and static condensation techniques. Assembling of such line-elements in 3D networks allows us to model extended regions of living tissues as well as their anisotropies

Invertible Subspace-Hypercyclic Operators

A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic. Then by this result, we answer in the affirmative a question that recently raised by Madore and Martnez- Avendano

Effect of Iron Oxide Nanoparticles for the Removal of Coliform Bacteria from Contaminated Water

BACKGROUND AND OBJECTIVE: Iron oxide nanoparticles at low concentrations can act as a source of iron ions required microorganisms but high concentrations can cause stress and cell damage in bacterial cells are reduced cell growth. The effect of iron oxide nanoparticles were studied remove coliform bacteria from contaminated water. METHODS: In this experimental-laboratory study synthetic municipal wastewater by adding 5 mL to 60 liters of water in urban distribution network was built. Every time in half a liter of synthetic samples 100, 250, 500, 1000, 2000, 4000 and 6000 ppm of iron oxide nanoparticles were added at the time of zero, 20, 40, 60, 80 and 100 minute samples and with method 15-tube was tested. FINDINGS: With increasing concentrations of iron oxide nanoparticles from 100 ppm to 6000 ppm the most likely number of coliforms per 100 ml (MPN) average removal rate from 70 percent to 82 percent synthesized samples. (Number of MPN) and removal efficiency at 0, 20, 40, 60, 80 and 100 minutes, was (660.52) 0% (330.42) 48.83, (317.00) 53.75, (200.14) 68.48, (161.66) 73.96 and (128.04) 80.16 respectively. Significant differences between time and removal of coliform bacteria (P=000.0) was observed. Maximum efficiency in the contact time of 100 minutes and 6000 mg/L concentration of iron oxide nanoparticles to 100 percent. CONCLUSION: The results showed that with increasing contact time and increasing concentrations of nanoparticles, remove the MPN samples is increasing

Eco friendly synthesis of the LiY(MoO4)2 coral-like quantum dots in biotemplate MOF (QD/BioMOF) for in vivo imaging and ibuprofen removal from an aqueous media study

Here as the first new research study on the bio quantum dots on metal�organic frameworks (BQDMOFs), we synthesized coral-like LiY(MoO4)2 BQDMOFs with hydrothermal method as an eco-friendly and cost effective approach. The lecithin as complex mixtures of lipids such as phospholipids which was extracted from egg yolk was applied not only as emulsifier for the formation of LiY(MoO4)2 quantum dots, but also acts as organic ligand and auxiliary linker agent on the base structure of the organic frameworks. The effect of such factors as pH (3�11), show with increasing pH from 3 up to 11 solubility increases and as a result the ibuprofen removal increases.The BQDMOFs structures were synthesized on the base of an organic frameworks with coral-like morphology with diameter in a range about 8�20 nm. The physicochemical properties, Ibuprofen removal from an aqueous media and in vivo imaging studies were investigated on the LiY(MoO4)2 BQDMOFs structures. Final products were characterization with analyze nanoparticle size using the well-known technique of dynamic light scattering (DLS), High-performance thin-layer chromatography (HPTLC), Powder X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM), Infrared spectroscopy (IR) and the UV�Visible spectrum. From the sum of the results it can be established that LiY(MoO4)2 BQDMOFs structures acts not only as a super-radiant photoluminescence (SRP) substance for use in in vivo imaging in small animal researches but also as a surface-specific material which can be use in removal of ibuprofen drug from an aqueous media. The photocatalyst results of the LiY(MoO4)2 BQDMOFs shows high removal efficiency of ibuprofen (more than 99) after 60 min under the UV light. © 2020 The Author

New crown ether-based ionic liquids as a green and versatile organocatalyst for three-component synthesis of 1,5-dihydropyrano2,3-cchromene derivatives

A simple and green method for the synthesis of 1,5-dihydropyrano2,3-cchromene derivatives has been reported by three-component reaction of aromatic aldehydes, malononitrile, and 3-hydroxycoumarin in the presence of a series of novel crown ether-based ionic liquids (CE-based ILs) in H2O/EtOH (1:1), under the reflux conditions. The novel CE-based ILs have been synthesized by 18-crown-6 or dibenzo 18-crown-6 chelated with sodium benzenesulfinate derivatives and used as a green and environmental organocatalyst. This method has some advantages such as the aqueous reaction medium, stable catalysts, cleaner reaction profiles and high yield of products in short reaction time. © 2020 Bentham Science Publishers